Dynamics of a diffusive predator-prey model with modified Leslie-Gower term and Michaelis-Menten type prey harvesting

Y Li, M Wang - Acta Applicandae Mathematicae, 2015 - Springer
A diffusive predator-prey model with modified Leslie-Gower term and Michaelis-Menten type
prey harvesting subject to the homogeneous Neumann boundary condition is considered …

Bifurcation analysis in a diffusive predator–prey system with Michaelis–Menten-type predator harvesting

Q Song, R Yang, C Zhang, L Tang - Advances in Difference Equations, 2018 - Springer
In this paper, we consider a modified predator–prey model with Michaelis–Menten-type
predator harvesting and diffusion term. We give sufficient conditions to ensure that the …

Bifurcation analysis and control of Leslie–Gower predator–prey model with Michaelis–Menten type prey-harvesting

RP Gupta, M Banerjee, P Chandra - Differential Equations and Dynamical …, 2012 - Springer
In this paper, a bi-dimensional system of ordinary differential equation prey–predator model
with nonlinear prey-harvesting is analyzed. The model is a modified version of the well …

Dynamics of a diffusive predator–prey model with herd behavior

Y Li, S Li, F Zhang - Nonlinear Analysis: Modelling and Control, 2020 - zurnalai.vu.lt
This paper is devoted to considering a diffusive predator–prey model with Leslie–Gower
term and herd behavior subject to the homogeneous Neumann boundary conditions …

Global stability of a delayed diffusive predator–prey model with prey harvesting of Michaelis–Menten type

XP Yan, CH Zhang - Applied Mathematics Letters, 2021 - Elsevier
This paper considers a modified Leslie–Gower delayed reaction–diffusion predator–prey
model with prey harvesting of Michaelis–Menten type and subject to homogeneous …

Dynamics in a diffusive modified Leslie–Gower predator–prey model with time delay and prey harvesting

R Yang, C Zhang - Nonlinear Dynamics, 2017 - Springer
The dynamics of a diffusive predator–prey model with time delay and Michaelis–Menten-
type harvesting subject to Neumann boundary condition is considered. Turing instability and …

Spatiotemporal dynamics induced by Michaelis–Menten type prey harvesting in a diffusive Leslie–Gower predator–prey model

WQ Zuo, ZP Ma, ZB Cheng - International Journal of Bifurcation and …, 2020 - World Scientific
This paper is devoted to study the spatiotemporal dynamics of a diffusive Leslie–Gower
predator–prey model with Michaelis-Menten type harvesting in the prey population. The …

[PDF][PDF] Hopf bifurcation in a diffusive predator-prey model with herd behavior and prey harvesting

H Jiang, X Tang - J. Appl. Anal. Comput, 2019 - jaac-online.com
In this paper, the dynamics of a diffusive delayed predator-prey model with herd behavior
and prey harvesting subject to the homogeneous Neumann boundary condition is …

Global Hopf bifurcation of a delayed diffusive predator-prey model with Michaelis-Menten-type prey harvesting

R Yuan, Z Wang, W Jiang - Applicable Analysis, 2016 - Taylor & Francis
This paper is concerned with a delayed diffusive predator–prey model with Michaelis–
Menten-type prey harvesting. The model has rich dynamical behaviors. It undergoes …

Stability and bifurcation analysis of discrete predator–prey model with nonlinear prey harvesting and prey refuge

Q Shu, J Xie - Mathematical Methods in the Applied Sciences, 2022 - Wiley Online Library
In this paper, a discrete Leslie–Gower model with nonlinear prey harvesting and prey refuge
is proposed. We prove the existence and stability of an interior equilibrium of the model. In …