Stability and Hopf bifurcation of a multiple delayed predator–prey system with fear effect, prey refuge and Crowley–Martin function

Z Liang, X Meng - Chaos, Solitons & Fractals, 2023 - Elsevier
In this paper, we consider a predator–prey model with fear response delay, gestation delay,
fear effect, prey refuge, harvesting and Crowley–Martin type functional response. First, we …

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 …

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 …

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 …

Global stability and Hopf-bifurcation of prey-predator system with two discrete delays including habitat complexity and prey refuge

B Dubey, A Kumar, AP Maiti - Communications in Nonlinear Science and …, 2019 - Elsevier
In this paper, we consider a two-dimensional prey-predator system with two delays. One
delay is for negative feedback of the prey population and another is for gestation delay of the …

Modeling the Allee effect and fear effect in predator–prey system incorporating a prey refuge

Y Huang, Z Zhu, Z Li - Advances in Difference Equations, 2020 - Springer
In this paper, we consider a predator–prey model with Allee effect, fear effect and prey
refuge. By considering the prey refuge as a parameter, we give the threshold condition for …

A delayed eco-epidemiological model with weak Allee effect and disease in prey

K Sarkar, S Khajanchi, PC Mali - International Journal of Bifurcation …, 2022 - World Scientific
In this paper, we have proposed and analyzed a mathematical model for the eco-
epidemiological system with disease in prey population, placing particular emphasis on the …

[PDF][PDF] Influence of fear effect on a Holling type III prey-predator system with the prey refuge

B Xie, N Zhang - AIMS Mathematics, 2022 - aimspress.com
The aim of the paper is to study the impact of anti-predator behavior caused by dread of
predator species in a prey predator system with Holling III type functional response and prey …