Delay induced multiple stability switch and chaos in a predator–prey model with fear effect

P Panday, S Samanta, N Pal… - … and Computers in …, 2020 - Elsevier
We propose a delayed predator–prey model with fear in the prey population. We consider
that the growth rate of the prey population is suppressed due to the fear of predators. It is …

A review of predator–prey systems with dormancy of predators

T Wen, Q Gao, T Kalmár-Nagy, Y Deng, KH Cheong - Nonlinear Dynamics, 2022 - Springer
The predator–prey system has received much attention in the field of ecology and evolution.
The interaction and competition between populations in nature can be described by the …

Dynamics of an SEIR epidemic model with nonlinear incidence and treatment rates

RK Upadhyay, AK Pal, S Kumari, P Roy - Nonlinear Dynamics, 2019 - Springer
The control of highly contagious diseases is very important today. In this paper, we proposed
an SEIR model with Crowley–Martin-type incidence rate and Holling type II and III treatment …

Dynamics analysis of a predator–prey system with harvesting prey and disease in prey species

XY Meng, NN Qin, HF Huo - Journal of biological dynamics, 2018 - Taylor & Francis
In this paper, a predator–prey system with harvesting prey and disease in prey species is
given. In the absence of time delay, the existence and stability of all equilibria are …

Qualitative and bifurcation analysis in a Leslie-Gower model with Allee effect

K Fang, Z Zhu, F Chen, Z Li - Qualitative Theory of Dynamical Systems, 2022 - Springer
In this paper, we consider a Leslie-Gower model with weak Allee effect in the prey. By
analysing the dynamics near the origin, we show that both predator and prey will tend to …

[HTML][HTML] Chaos in a nonautonomous eco-epidemiological model with delay

S Samanta, PK Tiwari, AK Alzahrani… - Applied Mathematical …, 2020 - Elsevier
In this paper, we propose and analyze a nonautonomous predator-prey model with disease
in prey, and a discrete time delay for the incubation period in disease transmission …

Stability and bifurcation in a Holling type II predator–prey model with Allee effect and time delay

Z Xiao, X Xie, Y Xue - Advances in Difference Equations, 2018 - Springer
In this paper, we consider a Holling type II predator–prey model incorporating time delay
and Allee effect in prey. We discuss the influence of Allee effect on the logistic equation. By …

Deciphering two delay dynamics of ecological system with generalist predator incorporating competitive interference

RK Upadhyay, D Barman - Physica D: Nonlinear Phenomena, 2024 - Elsevier
In this manuscript, an attempt has been made to understand the delay induced (gestation
and carry-over effect delay) dynamics of an ecological system with generalist predator …

Bifurcation analysis of a delay-induced predator–prey model with Allee effect and prey group defense

Y Ye, Y Zhao - International Journal of Bifurcation and Chaos, 2021 - World Scientific
In this paper, we establish a predator–prey model with focus on the Allee effect and prey
group defense. The positivity and boundedness of the model, existence of equilibrium point …

Pattern Formation in a Reaction‐Diffusion Predator‐Prey Model with Weak Allee Effect and Delay

H Liu, Y Ye, Y Wei, W Ma, M Ma, K Zhang - Complexity, 2019 - Wiley Online Library
In this paper, we establish a reaction‐diffusion predator‐prey model with weak Allee effect
and delay and analyze the conditions of Turing instability. The effects of Allee effect and …