Steady-state bifurcation and Hopf bifurcation for a diffusive Leslie–Gower predator–prey model

We consider a diffusive Leslie–Gower predator–prey model subject to the homogeneous Neumann boundary condition. Treating the diffusion coefficient d as a parameter, the Hopf bifurcation and steady-state bifurcation from the positive constant solution branch are investigated. Moreover, the global str...

Full description

Saved in:
Bibliographic Details
Published inComputers & mathematics with applications (1987) Vol. 70; no. 12; pp. 3043 - 3056
Main Authors Li, Shanbing, Wu, Jianhua, Nie, Hua
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.12.2015
Subjects
Bifurcation theory
Bifurcations
Constants
Diffusion
Double eigenvalue
Eigenvalues
Hopf bifurcation
Leslie–Gower predator–prey
Mathematical analysis
Mathematical models
Steady-state bifurcation
Steady-state bifurcation
Leslie–Gower predator–prey
Hopf bifurcation
Double eigenvalue
Online AccessGet full text

Cover

More Information
Summary:We consider a diffusive Leslie–Gower predator–prey model subject to the homogeneous Neumann boundary condition. Treating the diffusion coefficient d as a parameter, the Hopf bifurcation and steady-state bifurcation from the positive constant solution branch are investigated. Moreover, the global structure of the steady-state bifurcations from simple eigenvalues is established by bifurcation theory. In particular, the local structure of the steady-state bifurcations from double eigenvalues is also obtained by the techniques of space decomposition and implicit function theorem.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2015.10.017