-
J. B. Shukla, Ashish Goyal,
P. K. Tiwari and A. K. Misra, Modeling the
role of dissolved oxygen–dependent bacteria on biodegradation of
organic pollutants , International Journal of Biomathematics, 7(1),
1450008(1-16), 2014.
-
A. K. Misra, P. K. Tiwari , Ashish Goyal
and J. B. Shukla, Modeling and analysis of the depletion of organic
pollutants by bacteria with explicit dependence on dissolved oxygen,
Natural Resource Modeling , 27(2), 258-273, 2014.
-
P. K. Tiwari , Sourav Rana, A. K. Misra
and Joydev Chattopadhyay, Effect of cross- diffusion on the patterns
of algal bloom in a lake: a nonlinear analysis, Nonlinear Studies,
21(3), 443-462, 2014.
-
A. K. Misra and P. K. Tiwari , A model for
the effect of density of human population on the depletion of
dissolved oxygen in a water body, Environment, Development and
Sustainability, 17, 623-640, 2015.
-
Subhendu Chakraborty, P. K. Tiwari , A. K.
Misra and J. Chattopadhyay, Spatial dynamics of a
nutrient-phytoplankton system with toxic effect on phytoplankton,
Mathematical Biosciences, 264, 94-100, 2015.
-
A. K. Misra, P. K. Tiwari and Ezio
Venturino, Modeling the impact of awareness on the mitigation of
algal bloom in a lake, Journal of Biological Physics, 42(1),
147-165, 2016.
-
Ezio Venturino, P. K. Tiwari and A. K.
Misra, Modeling the depletion of dissolved oxygen in a water body
located near a city, Mathematical Methods in the Applied Sciences,
40, 1081-1094, 2017.
-
Subhendu Chakraborty, P. K. Tiwari , S. K.
Sasmal, Santanu Biswas, Sabyasachi Bhattacharya and Joydev
Chattopadhyay, Interactive effects of prey refuge and additional
food for predator in a diffusive prey-predator system, Applied
Mathematical Modelling, 47, 128-140, 2017.
-
P. K. Tiwari , A. K. Misra and Ezio
Venturino, The role of algae in agriculture: A mathematical study,
Journal of Biological Physics, 43(2), 297-314, 2017.
-
Subhendu Chakraborty, P. K. Tiwari , S. K.
Sasmal, A. K. Misra and Joydev Chattopadhyay, Effects of fertilizers
used in agricultural fields on algal bloom, The European Physics
Journal Special Topics, 226(9), 2119-2133, 2017.
-
P. K. Tiwari , S. K. Sasmal, Amar Sha,
Ezio Venturino and Joydev Chattopadhyay, Effect of diseases on
symbiotic systems, BioSystems, 159, 36-50, 2017.
-
P. K. Tiwari , I. M. Bulai, A. K. Misra
and Ezio Venturino, Modeling the direct and indirect effects of
pollutants on the survival of fish in water bodies, Journal of
Biological Systems, 25(3), 521-543, 2017.
-
K. Ghosh, S. Biswas, S. Samanta,
P. K. Tiwari , A. S. Alshomrani and J.
Chattopadhyay, Effect of multiple delays in an eco-epidemiological
model with strong Allee effect, International Journal of Bifurcation
and Chaos, 27(11), 1750167(1-39), 2017.
-
I. Ghosh, P. K. Tiwari , S. Mandal, M.
Martcheva, J. Chattopadhyay, A mathematical study to control Guinea
Worm Disease: A case study on Chad, Journal of Biological Dynamics,
12(1), 846-871, 2018.
-
I. Ghosh, P. K. Tiwari , S. Samanta, I.M.
Elmojtaba, N. Al-Salti, J. Chattopadhyay, A simple SI-type model for
HIV/AIDS with media and self-imposed psychological fear,
Mathematical Biosciences, 306, 160-169, 2018.
-
P. K. Tiwari , I.M. Bulai, F. Bona, E.
Venturino, A.K. Misra, Human population effects on the Ulsoor lake
fish survival, Journal of Biological Systems, 26(04), 603-632, 2018.
-
I. Ghosh, P. K. Tiwari , J. Chattopadhyay,
Effect of active case finding on dengue control: Implications from a
mathematical model, Journal of Theoretical Biology, 464, 50-62,
2019.
-
P. K. Tiwari,S. Samanta, J.D. Ferreira,
A.K. Misra, A mathematical model for the effects of nitrogen and
phosphorus on algal blooms, International Journal of Bifurcation and
Chaos, 29(10), 1950129(1-30), 2019.
-
P. K. Tiwari,
S. Samanta, F. Bona, E. Venturino, A.K. Misra, The time delays
influence on the dynamical complexity of algal blooms in the
presence of bacteria, Ecological Complexity, 39, 100769(1-18), 2019.
-
B. Maji, P. K. Tiwari, S. Samanta, S. Pal,
F. Bona, Effect of time delay in a cannibalistic stage-structured
predator-prey model with harvesting of an adult predator: The case
of lionfish, Journal of Biological Systems, 27(04), 447-486, 2019.
-
S. Samanta, P. K. Tiwari, A.K. Alzahrani,
A.S. Alshomrani, Chaos in a nonautonomous eco-epidemiological model
with delay, Applied Mathematical Modelling, 79, 865-880, 2020.
-
S. Biswas, P. K. Tiwari, Y. Kang, S. Pal,
Effects of zooplankton selectivity on phytoplankton in an ecosystem
by free-viruses and environmental toxins, Mathematical Biosciences
and Engineering, 17(2), 1272-1317, 2020.
-
S. Biswas, P. K. Tiwari, F. Bona, S. Pal,
E. Venturino, Modeling the avoidance behavior of zooplankton on
phytoplankton infected by free viruses, Journal of Biological
Physics, 46(1), 1-31, 2020.
-
A. Mandal, P. K. Tiwari, S. Samanta, E.
Venturino, S. Pal, A nonautonomous model for the effect of
environmental toxins on plankton dynamics, Nonlinear Dynamics,
99(4), 3373-3405, 2020.
-
A.K. Misra, R.K. Singh, P. K. Tiwari, S.
Khajanchi, Y. Kang, Dynamics of algae blooming: effects of budget
allocation and time delay, Nonlinear Dynamics, 100, 1779- 1807,
2020.
-
R.K. Rai, P. K. Tiwari, Y. Kang, A.K.
Misra, Modelling the effect of literacy and social media
advertisements on the dynamics of infectious diseases, Mathematical
Biosciences and Engineering, 17(5), 5812-5848, 2020.
-
A. Sarkar, P. K. Tiwari, F. Bona, S. Pal,
Chaos in a nonautonomous model for the interactions of prey and
predator with effect of water level fluctuation, Journal of
Biological Systems, 28(04), 865-900, 2020.
-
A.K. Misra, P. K. Tiwari, P. Chandra,
Modeling the control of algal bloom in a lake by applying some
external efforts with time delay, Differential Equations and
Dynamical Systems, 29(3), 539-568, 2021.
-
P. K. Tiwari, R.K. Singh, S. Khajanchi, Y.
Kang, A.K. Misra, A mathematical model to restore water quality in
urban lakes using Phoslock, Discrete and Continuous Dynamical
Systems Series B, 26(6), 3143-3175, 2021.
-
A.K. Srivastav, P. K. Tiwari, M. Ghosh,
Modelling the impact of early case detection on dengue transmission:
deterministic vs. stochastic, Stochastics Analysis and Applications,
39(3), 434-455, 2021.
-
A. Mandal, P. K. Tiwari, S. Pal, Impact of
awareness on environmental toxins affecting plankton dynamics: a
mathematical implication, Journal of Applied Mathematics and
Computing, 66, 369-395, 2021.
-
N.K. Thakur, A. Ojha, P. K. Tiwari, R.
Upadhyay, An investigation of delay induced stability transition in
nutrient-plankton systems, Chaos, Solitons and Fractals, 142,
110474, 2021.
-
A.K. Srivastav, P. K. Tiwari, P.K.
Srivastava, M. Ghosh, Y. Kang, A mathematical model for the impacts
of face mask, hospitalization and quarantine on the dynamics of
COVID-19 in India, Mathematical Biosciences and Engineering, 18(1),
182-213, 2021.
-
P. K. Tiwari, R.K. Rai, A.K. Misra, J.
Chattopadhyay, Dynamics of infectious diseases: Local versus global
awareness, International Journal of Bifurcation and Chaos, 31(7),
2150102, 2021.
-
P. K. Tiwari,K.A.N. Al Amri, S. Samanta,
Q.J.A. Khan, J. Chattopadhyay, A systematic study of autonomous and
nonautonomous predator-prey models with combined effects of fear,
migration and switching, Nonlinear Dynamics, 103(2), 2125-2162,
2021.
-
N. Sk, P. K. Tiwari, Y. Kang, S. Pal, A
nonautonomous model for the interactive effects of fear, refuge and
additional food in a prey-predator system, Journal of Biological
Systems, 29(01), 107-145, 2021.
-
A. Mandal, P. K. Tiwari, S. Pal, A
nonautonomous model for the effects of refuge and additional food on
the dynamics of phytoplankton-zooplankton system , Ecological
Complexity 46, 100927, 2021.
-
P. K. Tiwari, R.K. Singh, D. Jana, Y.
Kang, A.K. Misra, A nonautonomous mathematical model to assess the
impact of algae on the abatement of atmospheric carbon dioxide ,
International Journal of Biomathematics, 14(07), 2150059, 2021.
-
S. Biswas, P. K. Tiwari, S. Pal,
Delay-induced chaos and its possible control in a seasonally forced
eco-epidemiological model with fear effect and predator switching ,
Nonlinear Dynamics, 104(3), 2901-2930, 2021.
-
F. Al Basir, P. K. Tiwari, S. Samanta,
Effects of incubation and gestation periods in a prey-predator model
with infection in prey , Mathematics and Computers in Simulation,
190, 449-473, 2021.
-
P. K. Tiwari, R.K. Rai, S. Khajanchi, R.K.
Gupta, A.K. Misra, Dynamics of coronavirus pandemic: effects of
community awareness and global information campaigns, The European
Physical Journal Plus, 136, 994, 2021.
-
A.K. Misra, R.K. Rai, P. K. Tiwari, M.
Martcheva, Delay in budget allocation for vaccination and awareness
induces chaos in an infectious disease model, Journal of Biological
Dynamics, 15(1), 395-429, 2021.
-
N. Sk, P. K. Tiwari, S. Pal, M. Martcheva,
A delay nonautonomous model for the combined effects of fear, prey
refuge and additional food for predator, Journal of Biological
Dynamics, 15(1), 580-622, 2021.
-
P. K. Tiwari, M. Verma, S. Pal, Y. Kang,
A.K. Misra, A delay nonautonomous predator- prey model for the
effects of fear, refuge and hunting cooperation, Journal of
Biological Systems, 29(04), 927-969, 2021.
-
M. Hossain, S. Pal, P. K. Tiwari, N. Pal,
Bifurcations, chaos, and multistability in a nonautonomous
predator-prey model with fear , Chaos: An Interdisciplinary Journal
of Nonlinear Science, 31, 123134, 2021.
-
A. Sarkar, P. K. Tiwari, S. Pal, Effect of
additional food on predator-prey interactions with water level
fluctuation, Journal of Biological Systems, 29(04), 995-1022, 2021.
-
A. Tripathi , P. K. Tiwari, A.K. Misra ,
Y. Kang , Impacts of transpiration of agricultural crops and seeding
on rainfall: Implications from a mathematical model, International
Journal of Biomathematics , 15(05), 2250028, 2022.
-
S. Biswas, P. K. Tiwari, S. Pal, Effects
of toxicity and zooplankton selectivity on plankton dynamics under
seasonal patterns of viruses with time delay, Mathematical Methods
in the Applied Sciences, 45(2), 585-617, 2022.
-
N. Sk, P. K. Tiwari, S. Pal, A delay
nonautonomous model for the impacts of fear and refuge in a three
species food chain model with hunting cooperation, Mathematics and
Computers in Simulation, 192, 136-166, 2022.
-
R.K. Rai, S. Khajanchi, P. K. Tiwari, E.
Venturino, A.K. Misra, Impact of social media advertisements on the
transmission dynamics of COVID-19 pandemic in India, Journal of
Applied Mathematics and Computing, 68, 19-24, 2022.
-
A. Sarkar, P. K. Tiwari, S. Pal, A delay
nonautonomous model for the effects of fear and refuge on
predator-prey interactions with water level fluctuations,
International Journal of Modeling Simulation and Scientific
Computing, 13(04), 2250033, 2022.
-
P. K. Tiwari, R.K. Rai, R.K. Gupta, M.
Martcheva, A.K. Misra, Modeling the control of bacterial disease by
social media advertisements: Effects of awareness and sanitation,
Journal of Biological Systems, 30(01), 51-92, 2022.
-
P. K. Tiwari, S Roy, AK Misra, RK
Upadhyay, Effect of seasonality on a nutrient- plankton system with
toxicity in the presence of refuge and additional food , The
European Physical Journal Plus, 137, 368, 2022.
-
M Majumder, P. K. Tiwari, S Pal, Impact of
saturated treatments on HIV-TB dual epidemic as a consequence of
COVID-19: Optimal control with awareness and treatment , Nonlinear
Dynamics, 109, 143-176, 2022.
-
S.S. Maity, P. K. Tiwari, S. Pal, An
ecoepidemic seasonally forced model for the combined effects of
fear, additional foods and selective predation, Journal of
Biological Systems, 30(02), 285-321, 2022.
-
S. Roy, P. K. Tiwari, H. Nayak, M.
Martcheva, Effects of fear, refuge and hunting cooperation in a
seasonally forced eco-epidemic model with selective predation, The
European Physical Journal Plus, 137, 528, 2022.
-
B. Mondal, S. Roy, U. Ghosh,
P. K. Tiwari, A systematic study of
autonomous and nonautonomous predator-prey models for the combined
effects of fear, refuge, cooperation and harvesting, The European
Physical Journal Plus 137, 724, 2022.
-
M. Majumder, P. K. Tiwari, S. Pal, Impact
of nonlinear infection rate on HIV/AIDS considering
prevalence-dependent awareness, Mathematical Methods in the Applied
Sciences, 46(4), 3821-3848, 2023.
-
R. Medda, P. K. Tiwari, S. Pal, Chaos in a
nonautonomous model for the impact of media on disease outbreak,
International Journal of Modeling, Simulation, and Scientific
Computing, 2350020, 2023.
-
P. K. Tiwari, S. Roy, G. Douglas, A.K.
Misra, An optimal control model for the impact of Phoslock on the
mitigation of algal biomass in lakes, Journal of Biological Systems,
30(4), 945-984, 2022.
-
Q. Guo, Y. Wang, C. Dai, L. Wang, H. Liu, J. Li,
P. K. Tiwari, M. Zhao, Dynamics of a
stochastic nutrient-plankton model with regime switching ,
Ecological Modelling 477, 110249, 2023.
-
R. Kumbhakar, S. Pal, N. Pal,
P. K. Tiwari, Bistability and tristability
in a predator-prey model with strong Allee effect in prey , Journal
of Biological Systems, 31(1), 215-243, 2023.
-
F.A, Basir, S. Samanta,
P. K. Tiwari, Bistability, Generalized and
zero Hopf bifurcations in a pest control model with farming
awareness , Journal of Biological Systems,31(1),115-140, 2023.
-
D. Barman, S. Roy, P. K. Tiwari, S. Alam,
Two fold impacts of fear in a seasonally forced predator-prey system
with Cosner functional response , Journal of Biological Systems,
DOI: 10.1142/S0218339023500183 , 2023.
-
S. Khajanchi, J. Mondal,
P. K. Tiwari, Optimal treatment strategies
using dendritic cell vaccination for a tumor model with parameter
identifiability , Journal of Biological Systems, DOI:
10.1142/S0218339023500171 ,2023.
-
R.K. Rai, P. K. Tiwari, S. Khajanchi,
Modeling the influence of vaccination coverage on the dynamics of
COVID-19 pandemic with the effect of environmental contamination ,
Mathematical Methods in the Applied Sciences, DOI: 10.1002/mma.9185,
2023.
-
S.S. Maity, P.K. Tiwari, Z. Shuai, S. Pal,
Role of space in an eco-epidemic predator-prey system with the
effect of fear and selective predation, Journal of Biological
Systems,DOI:10.1142/S0218339023500316, 2023.
-
R.K. Gupta, R.K. Rai, P.K. Tiwari, A.K.
Misra, M Martcheva, A mathematical model for the impact of
disinfectants on bacterial diseases , Journal of Biological
Dynamics, 17(1),2206859, 2023.
-
F. Souna, P.K. Tiwari, M. Belabbas, Y.
Menacer, A predator-prey system with prey social behavior and
generalized Holling III functional response: Role of predator-taxis
on spatial patterns , Mathematical Methods in the Applied Sciences,
DOI: 10.1002/mma.9300, 2023.
-
P. Sen, S. Samanta, M.Y. Khan, S. Mandal,
P.K. Tiwari, A seasonally forced eco- epidemic model with disease in predator
and incubation delay , Journal of Biological Systems,
DOI:10.1142/S0218339023500328, 2023.
-
X. Zhao, L. Wang, P.K. Tiwari , H. Liu, Y.
Wang, J. Li, M. Zhao, C. Dai, Q. Guo, Investigation of a
nutrient-plankton model with stochastic fluctuation and impulsive
control, Mathematical Biosciences and Engineering, 20(8),
15496-15523, 2023.
-
K.K. Pal, R.K. Rai, P.K. Tiwari, Y. Kang,
Role of incentives on the dynamics of infectious diseases:
Implications from a mathematical model, The European Physical
Journal Plus, 138, 564, 2023.
-
Q. Guo, H. Liu, Y. Wang, J. Li, M. Zhao,
P.K. Tiwari, Z. Jin, C. Dai, Dynamics of a
stochastic nutrient-plankton model with impulsive control strategy,
The European Physical Journal Plus, 138, 470, 2023.
-
B. Mondal, U. Ghosh, S. Sarkar,
P.K. Tiwari , A generalist predator-prey
system with the effects of fear and refuge in deterministic and
stochastic environments, Mathematics and Computers in Simulation,
DOI: 10.1016/j.matcom.2023.09.022, 2023.
-
Q. Guo, L. Wang, H. Liu, Y. Wang, J. Li,
P.K. Tiwari, M. Zhao, C. Dai, Stability
switches and chaos induced by delay in a reaction-diffusion
nutrient-plankton model, Journal of Biological Dynamics, 17(1),
2272852, 2023.
-
S. Biswas, H. Aslam, P.K. Tiwari,
Mathematical modelling of a novel fractional order monkeypox model
using Atangana Baleanu derivative, Physics of Fluids, 35, 117130,
2023.
-
A. Sha, S. Roy, P.K. Tiwari, J.
Chattopadhyay, Dynamics of a generalist predator-prey system with
harvesting and hunting cooperation in deterministic/stochastic
environment, Mathematical Methods in the Applied Sciences, 47(7),
5916-5938, 2024.
-
S. Roy, N. Sk, P.K. Tiwari, Bifurcation
analysis of autonomous and nonautonomous modified Leslie-Gower
models, Chaos: An Interdisciplinary Journal of Nonlinear Science,
34, 023131, 2024.
-
S. Biswas, S. Mollah, P.K. Tiwari, Optimal
control analysis of Thalassemia: Modeling the impact of awareness,
The European Physical Journal Plus, 139, 128, 2024.
-
D.V. Singh, P.K. Tiwari, M. Verma, A
nonautonomous model for the effect of rarity value on the dynamics
of a predator-prey system with variable harvesting, Mathematical
Methods in the Applied Sciences, 47(7), 5764-5797, 2024.
-
R. Medda, P.K. Tiwari, S. Pal, Impacts of
planktonic components on the dynamics of cholera epidemic:
Implications from a mathematical model, Mathematics and Computers in
Simulation, 219, 505-526, 2024.
-
S. Mandal, P.K. Tiwari, Schooling behavior
in a generalist predator-prey system: Exploring fear, refuge and
cooperative strategies in a stochastic environment, The European
Physical Journal Plus, 139, 29, 2024.
-
S. Mandal, N. Sk, P.K. Tiwari, J.
Chattopadhyay, Bistability in modified Holling II response model
with harvesting and Allee effect: Exploring transitions in a noisy
environment, Chaos Solitons & Fractals, 178, 114365, 2024.
-
S. Pal, P.K. Tiwari, A.K. Misra, H. Wang,
Fear effect in a three-species food chain model with generalist
predator, Mathematical Biosciences & Engineering, 21(1), 1-33, 2024.
-
R. Singh, A. Ojha, P.K. Tiwari, N.K.
Thakur, Y. Kang, Impact of time delay in a plankton-fish system with
nonlinear harvesting and external toxicity, International Journal of
Biomathematics, DOI: 10.1142/S1793524523500961.
-
M. Majumder, S. Pal, P.K. Tiwari,
Vaccination impact on impending HIV-COVID-19 dual epidemic with
autogenous behaviour modification: Hill-type functional response and
premeditated optimization technique, Chaos: An Interdisciplinary
Journal of Nonlinear Science, 34(3), 033104, 2024.
-
K.K. Pal, N. Sk, R.K. Rai, P.K. Tiwari,
Examining the impact of incentives and vaccination on COVID-19
control in India: Addressing environmental contamination and
seasonal dynamics, The European Physical Journal Plus, 139, 225,
2024.
-
A. Saranya Devi, K.K. Pal, P.K. Tiwari,
Exploring fractional dynamical probes in the context of
gender-structured HIV-TB coinfection: A study of control strategies,
Journal of Biological Systems, 32(02), 719-769, 2024.
-
M. Belabbas, F. Souna, P.K. Tiwari, Y.
Menacer, Role of intervention strategies and psychological effect on
the control of infectious diseases in the random environment,
Journal of Biological systems, 32(03), 971-1001, 2024.
-
S. Roy, S. Samanta, H. Nayak, P.K. Tiwari,
Deterministic versus stochastic dynamics of a predator-prey system
with disease in prey: Impact of fear and supplementary foods,
International Journal of Biomathematics, DOI: 10.1142/S1793524524500475, 2024.
-
A.K. Umrao, S. Roy, P.K. Tiwari, P.K.
Srivastava, Dynamical behaviors of autonomous and nonautonomous
models of generalist predator-prey system with fear, mutual
interference and nonlinear harvesting, Chaos, Solitons & Fractals,
183, 114891, 2024.
-
S.S. Maity, P.K. Tiwari, S. Pal,
Comprehensive analysis of deterministic and stochastic eco-epidemic
models incorporating fear, refuge, supplementary resources, and
selective predation effects, Acta Applicandae Mathematicae, 191, 5,
2024.
-
S. Mandal, N. Sk, P.K. Tiwari, Predicting
critical transitions in a bistable predator-prey system with
prey-influenced competition among predators, The European Physical
Journal Plus, 139, 516, 2024.
-
K.K. Pal, R.K. Rai, P.K. Tiwari, Influences
of media-induced awareness and sanitation practices on cholera
epidemic: A study of optimal control, International Journal of
Bifurcation and Chaos, DOI: 10.1142/S0218127425500026, 2024.
-
S. Mandal, N. Sk, P.K. Tiwari, R.K.
Upadhyay, Chaos and extinction risks of sexually reproductive
generalist top predator in a seasonally forced food chain system
with Allee effect, Chaos: An Interdisciplinary Journal of Nonlinear
Science, 34(6), 063142, 2024.
-
S. Roy, Sajan, P.K. Tiwari, B. Dubey,
Dynamics of a stage-structured predator-prey system with
fear-induced group defense in autonomous and nonautonomous settings,
Chaos: An Interdisciplinary Journal of Nonlinear Science, 34, 063133, 2024.
-
P. Saha, K.K. Pal, U. Ghosh, P.K. Tiwari, Effects of vaccination and saturated treatment
on COVID-19 transmission in India: Deterministic and stochastic approaches, Journal of
Biological Systems, DOI: 10.1142/S021833902450044X , 2024.
-
R.K. Rai, K.K. Pal, P.K. Tiwari, M. Martcheva, A.K. Misra, Impact of social media and
word-of-mouth on the transmission dynamics of communicable and non-communicable
diseases, International Journal of Biomathematics, DOI: 10.1142/S1793524524500943 ,
2024.
-
A. Sarkar, Y. Kang, P.K. Tiwari, Exploring the influence of refuges and additional foods
on predator-prey interactions amidst environmental stochasticity and water level
fluctuations, DOI: 10.1142/S1793524524501043, International Journal of
Biomathematics, 2024.
-
S. Mandal, S. Samanta, P.K. Tiwari, R.K. Upadhyay, Bifurcation analysis and
exploration of noise-induced transitions of a food chain model with Allee effect,
Mathematics and Computers in Simulation, 228, 313-338, 2025.
-
A. Mandal, S. Biswas, P.K. Tiwari, S. Pal, Seasonal refuge patterns of phytoplankton
trigger irregular bloom events in a contaminated environment, Scientific Reports, 14(1),
25248, 2024.
-
N. Sk, S. Mandal, P.K. Tiwari, J. Chattopadhyay, Exploring multistability and
bifurcations in a three-species Smith growth model incorporating refuge, harvesting, and
time delays, The European Physical Journal Plus, 139, 1122, 2024.
-
N. Sk, S. Roy, P.K. Tiwari, Seasonal stochasticity drives phytoplankton-zooplankton
dynamics, Mathematical Methods in the Applied Sciences, 48(5), 5998-6018,
2025.
-
K.K. Pal, R.K. Rai, P.K. Tiwari, Impact of psychological fear and media on
infectious diseases induced by carriers, Chaos: An Interdisciplinary Journal of Nonlinear
Science 34 (12), 123168, 2024.
-
S. Mandal, A. Tripathi, R. Banerjee, F. Souna, P.K. Tiwari, Ecological and
epidemiological ramification of fear: Exploring deterministic and stochastic dynamics in
a predator-prey system with predator switching and harvesting, International Journal of
Biomathematics, DOI: 10.1142/S1793524524501092, 2024.
-
S. Roy, P.K. Tiwari, Multistability in a predator-prey model with generalist predator
and strong Allee effect in prey, The European Physical Journal B, 97, 176, 2024.
-
A. Tripathi, S. Mandal, P.K. Tiwari, A.K. Misra, M. Martcheva, A comprehensive
investigation into deterministic and stochastic models concerning the effects of seeding on rainfall and
atmospheric pollution, Journal of Biological Systems, 33(02), 699-728, 2025.
-
S. Roy, S. Mandal, P.K. Tiwari, M. Martcheva, Stochastic shifts within a predator-prey
system featuring schooling behavior and generalist predators, Journal of Biological Systems, 33(02), 479-517,
2025.
-
S. Roy, P.K. Tiwari, Bistability in a predator-prey model characterized by the
Crowley-Martin functional response: Effects of fear, hunting cooperation, additional foods and nonlinear
harvesting, Mathematics and Computers in Simulation, 228, 274-297, 2025.
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R. Singh, A. Ojha, P.K. Tiwari, N.K. Thakur, Y. Kang, Impact of time delay in a
plankton-fish system with nonlinear harvesting and external toxicity, International Journal of Biomathematics,
18(02), 2350096, 2025.
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S. Roy, S. Khajanchi, P.K. Tiwari, Fear and its carry-over effects in a generalist
predator-prey system featuring cooperative hunting, Journal of Applied Mathematics and Computing, 71, 3939-3964,
2025.
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K.K. Pal, R.K. Rai, P.K. Tiwari, Influences of media-induced awareness and sanitation
practices on Cholera epidemic: A study of bifurcation and optimal control, International Journal of
Bifurcation and Chaos, 35(01), 2550002, 2025.
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P. Saha, K.K. Pal, U. Ghosh, P.K. Tiwari, Effects of vaccination and saturated treatment
on COVID-19 transmission in India: Deterministic and stochastic approaches, Journal of Biological Systems,
33(01), 53-99, 2025.
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P. Saha, K.K. Pal, U. Ghosh, P.K. Tiwari, Dynamic analysis of deterministic and
stochastic SEIR models incorporating the Ornstein-Uhlenbeck process, Chaos: An Interdisciplinary Journal of
Nonlinear Science, 35, 023165, 2025.
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B. Mondal, S. Mandal, P.K. Tiwari, R.K. Upadhyay, How predator harvesting affects
prey-predator dynamics in deterministic and stochastic environments?, Applied Mathematics and Computation, 498,
129380, 2025.
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Y. Wang, Q. Guo, H. Liu, S. Roy, P.K. Tiwari, M. Zhao, C. Dai, Impacts of refuge and
additional foods on the spatiotemporal dynamics of a prey-predator system in a time-periodic environment, The
European Physical Journal Plus, 140, 330, 2025.
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B. Mondal, S. Mandal, P.K. Tiwari, H. Wang, P. Venegas, Deterministic and stochastic
plankton dynamics: Effects of contamination, refuge, and additional food sources, Ecological Complexity, 61,
101117, 2025.
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K.K. Pal, R.K. Rai, P.K. Tiwari, A.K. Misra, Role of awareness programs on diabetes
prevention and control of viral infection: A study of optimal control, The European Physical Journal Plus, 140,
150, 2025.
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S. Mandal, P. Basak, S.K. Tiwari, P.K. Tiwari, Spatiotemporal dynamics of a plankton
system: Impacts of phytoplankton refuge and supplementary food for zooplankton, International Journal of
Bifurcation and Chaos, 35(07), 2530016, 2025.
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R. Kar, S. Biswas, A.K. Pal, P.K. Tiwari, Dynamics of an eco-epidemiological model with
mutual interference and nonlinear harvesting of predator, Journal of Applied Mathematics and Computing, 71,
4095-4120, 2025.
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N. Sk, B. Mondal, M. Ch-Chaoui, R.K. Upadhyay, S. Mandal, P.K. Tiwari, Influence of
Allee effect and cooperative hunting on the dynamics of a modified Hastings-Powell model in deterministic,
discrete and stochastic environments, The European Physical Journal Plus, 140, 1178, 2025.
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A. Kumar, N. Kumari, S. Mandal, P.K. Tiwari, Autonomous and non-autonomous dynamics of
an SIRS model with convex incidence rate, Journal of the Franklin Institute, 362(18), 108236, 2025.
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S. Roy, M. Verma, D.V. Singh, P.K. Tiwari, Impacts of fear, predator harvesting, rarity
value, and seasonal fluctuations on a delayed predator-prey system, Nonlinear Science, 5, 100077, 2025.
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Y. Wang, S. Mandal, P.K. Tiwari, T. Liao, Modeling the effect of ocean warming and
seawater salinity on a coral reef system under the Ornstein-Uhlenbeck process, Journal of Applied Mathematics
and Computing, 71, 8605-8653, 2025.
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S. Roy, B. Mondal, S. Ghosh, P.K. Tiwari, Ecological sensitivities to the interplay of
Allee effects, prey refuge and supplementary food resources in a predator-prey system, The European Physical
Journal B, 98, 201, 2025.
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S. Roy, R. Kumbhakar, S. Karmakar, P.K. Tiwari, N. Pal, Dynamical complexities in a food
chain model with schooling behavior: A study in a parameter plane, The European Physical Journal Plus, 140, 1002,
2025.
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D. Das, D. Bhattacharjee, S. Roy, P.K. Tiwari, Stability and bifurcation analysis of a
predator-prey system with feedback-controlled odour and wind-driven decay, Mathematical Biosciences, 390, 109561,
2025.
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S. Jawad, S. Roy, A.A. Thirthar, P.K. Tiwari, Deterministic and stochastic risks
assessment of excessive CO2 emission on forest biomass under weak Allee effect, Journal of Applied Mathematics and
Computing, 71, 9129-9156, 2025.
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A.S. Devi, K.K. Pal, P.K. Tiwari, A.K. Misra, S. Raj, A gender-based fractional model of
monkeypox transmission via multiple pathways and intervention strategies: An Italian case study, Nonlinear Science,
4, 100045, 2025.
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A. Singh, S. Mandal, P.K. Tiwari, B. Dubey, Spatiotemporal dynamics of a modified
Leslie-Gower predator-prey model: Effects of diffusion and taxis-driven movements on pattern formation, Nonlinear
Analysis Modelling and Control, 30(6), 1121-1144, 2025.
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A. Ojha, S. Mandal, R. Singh, N.K. Thakur, P.K. Tiwari, Predator-prey dynamics in
autonomous and nonautonomous settings: Impacts of anti-predator behavior, refuge, and additional food, Chaos
Solitons & Fractals, 196, 116409, 2025.
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S.S. Maity, S. Roy, P.K. Tiwari, Spatio-temporal dynamics of a predator-prey system with
variable carrying capacity and Cosner response function, Franklin Open, 11, 100289, 2025.
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A.S. Devi, K.K. Pal, P.K. Tiwari, D.K. Sinha, Y. Kang, Modeling the co-dynamics of HIV,
TB and COVID-19 using fractional order: Impact of control strategies, International Journal of Biomathematics,
2550059, 2025.
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A.A. Thirthar, A.L. Alaoui, S. Roy, P.K. Tiwari, Fractional and stochastic dynamics of
predator-prey systems: The role of fear and global warming, The European Physical Journal B, 98, 147, 2025.
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K.K. Pal, R.K. Rai, P.K. Tiwari, A.K. Misra, Mathematical modeling of control measures
for preventing kidney failure and managing diabetes: Sensitivity analysis and optimal strategies, Journal of
Applied Mathematics and Computing, 71, 6455-6487, 2025.
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S. Roy, D.S.A. Jaf, A.A. Thirthar, P.K. Tiwari, The impact of human shields in an
autonomous and non-autonomous prey-predator model with a modified Cosner functional response, Mathematics and
Computers in Simulation, 242, 54-73, 2026.
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A.A. Raezah, F.A. Basir, P.K. Tiwari, A. Sinha, J. Chowdhury, A mathematical model to
study the combined uses of infected pests and nutrients in crop pest control: Stability changes and optimal
control, Mathematics, 14, 16, 2026.
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S. Mandal, P.K. Tiwari, Predator-prey interactions: How prey refuge, additional food,
seasonality, and stochasticity shape ecological stability? Mathematics and Computers in Simulation, 243, 121-148,
2026.
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K.K. Pal, R.K. Rai, P.K. Tiwari, A.K. Misra, Effects of healthy lifestyle practices on
prevention of viral infections and diabetes: Insights amid advertising campaigns and optimal control,
Computational and Applied Mathematics, 45, 290, 2026.
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S. Roy, A. Sarkar, N. Sk, P.K. Tiwari, R.K. Upadhyay, Bifurcation analysis and fear-induced
reactions in non-refuged prey with cooperative hunting among predators: Deterministic and stochastic dynamics,
Mathematical Biosciences, 395, 109641, 2026.
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S. Roy, P.K. Tiwari, G. Kumar, R.K. Upadhyay, The role of selective predation in
predator-prey systems with indirectly transmitted disease in prey, International Journal of Bifurcation and Chaos,
Accepted.