Publications

S. Maity, P.S. Mandal, "The effect of demographic stochasticity on Zika virus transmission dynamics: Probability of disease extinction, sensitivity analysis, and mean first passage time".  Chaos: AIP Publishing, 34(3), March-2024, DOI: 10.1063/5.0190996.

P.S. Mandal, S. Maity, “Impact of demographic variability on the disease dynamics for Honeybee Model”. Chaos: AIP Publishing, 32(8), August-2022, DOI: 10.1063/5.0096638.

K. Garain, P.S.Mandal, Stochastic sensitivity analysis and early warning signals of critical transitions in a tri-stable prey-predator system with noise. Chaos: AIP Publishing. 32, February - 2022,10.1063/5.0074242.

P.S. Mandal, K. Garain, “Two-stage noise-induced critical transitions in a fish population model with Allee effect in predators." The European Physical Journal B 95.4 (2022): 1-14.

S. Maity, P.S. Mandal, “A Comparison of Deterministic and Stochastic Plant-VectorVirus Models Based on Probability of Disease Extinction and Outbreak’’, Bulletin of Mathematical Biology, 2022, https://doi.org/10.1007/s11538-022-01001-x. 

U. Kumar, P.S. Mandal, J.P. Tripathi, V.P. Bajiya, S. Bugalia, “SIRS epidemiological model with ratio-dependent incidence: Influence of preventive vaccination and treatment control strategies on disease dynamics”. Mathematical Methods in the Applied Sciences. 2021, 1099-1476, https://doi.org/10.1002/mma.7737.

U. Kumar, P.S. Mandal, “Role of Allee effect on prey-predator model with component Allee effect for predator reproduction”, Mathematics and Computers in Simulation 193, DOI: 10.1016/j.matcom.2021.10.027.

Koushik Garain, Partha Sarathi Mandal, Bubbling and hydra effect in a population system with Allee effect, Ecological Complexity, 47, 100939, 2021,

J. P. Tripathi, P.S.Mandal, A. Poonia, V.P. Bajiya, A widespread interaction between generalist and specialist enemies: the role of intraguild predation and Allee effect, Applied Mathematical Modelling,  August 2020, https://doi.org/10.1016/j.apm.2020.06.074

K. Garain, K.P. Das, P.S.Mandal, S. Biswas, Density-dependent mortality and weak Allee effect control chaos-conclusion drawn from a tri-trophic food chain with prey refugia. Nonlinear Studies. 27(2) - 2020,1-21.

P.S.Mandal, U. Kumar, K. Garain, R. Sharma, Allee effect can simplify the dynamics of a prey-predator model. Journal of Applied Mathematics and Computing. , March - 2020, https://doi.org/10.1007/s12190-020-01337-4.

U. Kumar, P.S.Mandal, E. Venturino, Impact of Allee effect on an eco-epidemiological system. Ecological Complexity. 42 - 2020,10.1016/j.ecocom.2020.100828.

U. Kumar, P.S.Mandal, Impact of Additive Allee effect on the dynamics of a intraguild predation model with specialist predator. International Journal of Bifurcation and Chaos. - 2019.

K.Garain, U.Kumar, P.S.Mandal, Global dynamics in a Beddington-Deangelis prey- predator model with density dependent death rate of predator. Differential Equation and Dynamical System. 29 (1), 265-283, 2019.

M.Liu, J. Yu, P.S. Mandal, Dynamics of a stochastic delay competitive model with harvesting and Markovian switching. Applied Mathematics and Computation. - 2018.

P.S. Mandal, Noise-induced extinction for a ratio-dependent predator-prey model with strong Allee effect in prey. Physica A: Statistical Mechanics and its Applications. 496 - 2018,40-52.

F. Rao, P.S.Mandal, Y. Kang, Complicated endemics of an SIRS model with a generalized incidence under preventive vaccination and treatment controls. Applied Mathematical Modelling. 67 - 2018,38-61, 2018.

K. Garain, P.S. Mandal, Bifurcation Analysis of a prey-predator model with Beddington- DeAngelis type functional response and Allee effect in prey. International Journal of Bifurcation and Chaos. - 2018.

P.S. Mandal, A. Lahrouz, Study of dynamical properties in a bi-dimensional model describing the prey-predator dynamics with strong Allee effect in prey. Electronic Journal of Qualitative Theory of Differential Equations. 93 - 2017,1-21.

A. Lahrouz, A. Settati, P.S. Mandal, Dynamics of a switching diffusion modified Leslie- Gower Predator-prey system with Beddington-DeAngelis functional response. Nonlinear Dynamics. 85 - 2016,853-870.

M. Liu, P. S. Mandal, Dynamical behavior of an one prey two-predator model with random perturbations. Communication in Non-linear science and Numerical Simulation. - 2015,10.1016/j.cnsns.2015.04.010.

P. S. Mandal, Linda J. S. Allen, M. Banerjee, Stochastic modeling of phytoplankton allelopathy. Applied Mathematical Modeling. 38 - 2014,300-318.

P.S.Mandal, S. Abbas, M.Banerjee, A comparative study of deterministic and stochastic dynamics for a non-autonomous allelopathic phytoplankton model. Applied Mathematics and Computation. 238 - 2014,1583-1596.

P.S. Mandal, M. Banerjee, Stochastic persistence and stability analysis of a modified Holling-Tanner model. Mathematical Methods in Applied Science. 36 - 2013,1263-1280.

P.S. Mandal, Characterization of positive solution to stochastic competitor-competitor-cooperative model. Electronic Journal of Differential Equations. 88 - 2013,1-13.

P.S. Mandal, M. Banerjee, Deterministic and stochastic dynamics of a competitive phytoplankton model with allelopathy. Differential Equations and Dynamical Systems. 21 - 2013,341-372.

P. S. Mandal, M. Banerjee, Deterministic Chaos Vs. Stochastic Fluctuation in an Eco-epidemic Model. Math. Model. Nat. Phenom. 7 - 2012,99-116.

P.S. Mandal, M. Banerjee, Multiplicative-noise Can Suppress Chaotic Oscillation in Lotka-Volterra Type Competitive Model. Math. Model. Nat. Phenom. 7 - 2012,23-46.

P.S. Mandal, M. Banerjee, Stochastic persistence and stationary distribution in a Holling-Tanner type prey-predator model. Physica A: Statistical Mechanics and its Applications. 391 - 2011,1216-1233.