Основные направления и обзор современного состояния исследований динамики структурированных и взаимодействующих популяций

ЕЯ Фрисман, МП Кулаков, ОЛ Ревуцкая… - Компьютерные …, 2019 - mathnet.ru
Даже беглый взгляд на впечатляющее множество современных работ по
математическому моделированию популяционной динамики позволяет заключить, что …

Impact of fear effect on the growth of prey in a predator-prey interaction model

K Sarkar, S Khajanchi - Ecological complexity, 2020 - Elsevier
Several field data and experiments on a terrestrial vertebrates exhibited that the fear of
predators would cause a substantial variability of prey demography. Fear for predator …

Mathematical modeling and optimal intervention strategies of the COVID-19 outbreak

J Mondal, S Khajanchi - Nonlinear dynamics, 2022 - Springer
Abstract 34,354,966 active cases and 460,787 deaths because of COVID-19 pandemic were
recorded on November 06, 2021, in India. To end this ongoing global COVID-19 pandemic …

Spatiotemporal dynamics of a predator-prey system with fear effect

K Sarkar, S Khajanchi - Journal of the Franklin Institute, 2023 - Elsevier
Recent field experiments on vertebrates show that though mere presence of a predator
causes a dramatic change in prey demography, the fear of predators increases the survival …

Stability analysis of fuzzy HTLV-I infection model: a dynamic approach

S Bera, S Khajanchi, TK Roy - Journal of Applied Mathematics and …, 2023 - Springer
This paper deals with a mathematical model for HTLV-I infection by considering the role of
imprecise essence of the biological parameters. The considered imprecise biologically …

Role of constant prey refuge on stage structure predator–prey model with ratio dependent functional response

S Khajanchi, S Banerjee - Applied Mathematics and Computation, 2017 - Elsevier
A constant prey refuge has been incorporated in a stage structured predator–prey model
with ratio-dependent functional response. Sufficient conditions are obtained for the uniform …

An eco-epidemiological model with the impact of fear

K Sarkar, S Khajanchi - Chaos: An Interdisciplinary Journal of …, 2022 - pubs.aip.org
In this study, we propose and analyze an eco-epidemiological model with disease in prey
and incorporated the effect of fear on prey species due to predator population. We assume …

Stability of fractional-order prey–predator system with time-delay and Monod–Haldane functional response

R Chinnathambi, FA Rihan - Nonlinear Dynamics, 2018 - Springer
In this paper, we study the dynamics of a fractional-order delayed prey–predator system with
Monod–Haldane response function. The model describes the interaction between prey and …

Rich dynamics of a delay-induced stage-structure prey–predator model with cooperative behaviour in both species and the impact of prey refuge

S Pandey, U Ghosh, D Das, S Chakraborty… - … and Computers in …, 2024 - Elsevier
The prey–predator interaction between organisms living in an ecosystem is greatly affected
by the cooperation among the species as well as immature prey refuge in presence of time …

Dynamics of an eco-epidemic predator–prey model involving fractional derivatives with power-law and Mittag–Leffler kernel

HS Panigoro, A Suryanto, WM Kusumawinahyu, I Darti - Symmetry, 2021 - mdpi.com
In this paper, we consider a fractional-order eco-epidemic model based on the Rosenzweig–
MacArthur predator–prey model. The model is derived by assuming that the prey may be …