Stability and bifurcation in a Leslie–Gower predator–prey model with Allee effect

Z Zhu, Y Chen, Z Li, F Chen - International Journal of Bifurcation and …, 2022 - World Scientific
In this paper, we consider a Leslie–Gower predator–prey model with Allee effect on the prey
and a linear functional response. Here the Allee effect impacts the birth rate of the prey …

Dynamics of a ratio-dependent Leslie–Gower predator–prey model with Allee effect and fear effect

Y Li, M He, Z Li - Mathematics and Computers in Simulation, 2022 - Elsevier
We propose a ratio-dependent Leslie–Gower predator–prey model with the Allee effect and
fear effect on prey and study its dynamic behaviors. On the basis of Poincaré transformation …

Modeling allee effect in the leslie-gower predator–prey system incorporating a prey refuge

W Yin, Z Li, F Chen, M He - International Journal of Bifurcation and …, 2022 - World Scientific
This paper considers a Leslie-Gower predator–prey system with Allee effect and prey
refuge. By considering the prey refuge constant as a parameter, we analyze the stability of …

Global dynamics of a Leslie–Gower predator–prey model with square root response function

M He, Z Li - Applied Mathematics Letters, 2023 - Elsevier
A Leslie–Gower predator–prey model with square root response function is considered. We
prove that the origin is unstable using blow-up method, and show that if the positive …

A modified Leslie–Gower model incorporating Beddington–DeAngelis functional response, double Allee effect and memory effect

E Rahmi, I Darti, A Suryanto, Trisilowati - Fractal and Fractional, 2021 - mdpi.com
In this paper, a modified Leslie–Gower predator-prey model with Beddington–DeAngelis
functional response and double Allee effect in the growth rate of a predator population is …

[HTML][HTML] Bifurcations on a discontinuous Leslie–Grower model with harvesting and alternative food for predators and Holling II functional response

CC García - Communications in Nonlinear Science and Numerical …, 2023 - Elsevier
This paper proposes a mathematical model that describes the interaction of prey and
predators, assuming logistic growth for both species, harvesting and alternative food for …

[PDF][PDF] Stability and bifurcation in a two-patch model with additive Allee effect

L Chen, T Liu, F Chen - AIMS Mathematics, 2022 - aimspress.com
A two-patch model with additive Allee effect is proposed and studied in this paper. Our
objective is to investigate how dispersal and additive Allee effect have an impact on the …

[HTML][HTML] Complex dynamics induced by additive Allee effect in a Leslie-Gower predator-prey model

Y Yang, F Meng, Y Xu, L Rong - Discrete and Continuous …, 2024 - aimsciences.org
In this paper, we investigate the complex dynamics of a predator-prey model, specifically the
Leslie-Gower model, with additive Allee effect and simplified Holling Ⅲ functional response …

Global boundedness and dynamics of a diffusive predator–prey model with modified Leslie–Gower functional response and density-dependent motion

YY Mi, C Song, ZC Wang - … in Nonlinear Science and Numerical Simulation, 2023 - Elsevier
This paper is devoted to studying the dynamical behaviors and stationary patterns of a
diffusive modified Leslie–Gower predator–prey model with density-dependent motion in the …

Dynamics of a spatially explicit eco-epidemic model with double Allee effect

BP Sarangi, SN Raw - Mathematics and Computers in Simulation, 2023 - Elsevier
This article deals with the dynamics of a reaction–diffusion eco-epidemic model that
assimilates a double Allee effect. Allee effects are strongly related to extinction vulnerability …