Qualitative analysis of a three-species reaction-diffusion model with modified Leslie-Gower scheme
type: Item
instance of: scholarly article
title: Qualitative analysis of a three-species reaction-diffusion model with modified Leslie-Gower scheme
zbMATH Open document ID: 1467.92163
DOI: 10.1155/2021/6650783
author: Xiaoni Wang
author: Gaihui Guo
author: Jian Li
author: Meng-Meng Du
published in: Journal of Function Spaces
publication date: 2021-06-04T00:00:00Z
review text: The paper is devoted to two three-species models with Lee-Gower scheme under the Neumann boundary condition. The first one is given by a system of ODE, and the second one is a system PDE which takes into account the division effect. For both systems, local stability analysis together with estimates of positive steady states was done.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 7355396
zbMATH Keywords: three-species reaction-diffusion model
zbMATH Keywords: Leslie-Gower scheme
zbMATH Keywords: Neumann boundary condition
zbMATH Keywords: a priori estimates of positive steady states
zbMATH Keywords: local stability
reviewed by: Leonid Berezansky
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6650783
OpenAlex ID: W3158684827
cites work: A Lyapunov function for Leslie-Gower predator-prey models
cites work: Study of a Leslie-Gower-type tritrophic population model
cites work: Bifurcations of a predator-prey system of Holling and Leslie types
cites work: Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
cites work: Stabilization of modified Leslie-Gower prey-predator model
cites work: Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
cites work: Limit cycle and numerical similations for small and large delays in a predator-prey model with modified Leslie-Gower and Holling-type II schemes
cites work: An impulsive predator-prey system with modified Leslie-Gower and Holling type II schemes
cites work: Dynamics of a diffusive predator-prey model with modified Leslie-Gower and Holling-type III schemes
cites work: Dynamics of a diffusive predator-prey model with modified Leslie-Gower schemes and additive Allee effect
cites work: Non-constant positive steady states of a host-parasite model with frequency- and density-dependent transmissions
cites work: Bifurcation structure of nonconstant positive steady states for a diffusive predator-prey model
cites work: Spatial, temporal and spatiotemporal patterns of diffusive predator–prey models with mutual interference
cites work: Dynamics of nonconstant steady states of the Sel'kov model with saturation effect
cites work: Non-constant positive steady state of one resource and two consumers model with diffusion
cites work: Dynamics and patterns of a diffusive Leslie-Gower prey-predator model with strong Allee effect in prey
cites work: Analysis of a diffusive Leslie-Gower predator-prey model with nonmonotonic functional response
cites work: Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion
cites work: Non-constant positive steady-states of a diffusive predator--prey system in homogeneous environment
cites work: Dynamics and pattern formation of a diffusive predator-prey model in the presence of toxicity
cites work: Stationary pattern of a reaction-diffusion mussel-algae model
cites work: Existence and bifurcation of non-constant positive steady states for a tumor-immune model
cites work: Turing patterns of a predator-prey model with a modified Leslie-Gower term and cross-diffusions
cites work: Steady-states of a Leslie-Gower model with diffusion and advection
cites work: Criterion of Hopf bifurcations without using eigenvalues
cites work: Large amplitude stationary solutions to a chemotaxis system
cites work: Diffusion, self-diffusion and cross-diffusion
description: scientific article; zbMATH DE number 7355396