Bifurcation Analysis in a Delayed Diffusive Leslie-Gower Model

Bifurcation Analysis in a Delayed Diffusive Leslie-Gower Model

We investigate a modified delayed Leslie-Gower model under homogeneous Neumann boundary conditions. We give the stability analysis of the equilibria of the model and show the existence of Hopf bifurcation at the positive equilibrium under some conditions. Furthermore, we investigate the stability an...

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Veröffentlicht in:Discrete Dynamics in Nature and Society 2013-01, Vol.2013 (2013), p.238-248-026
Hauptverfasser: Wang, Youbin, Wang, Weiming, Lian, Xinze, Yan, Shuling
Format: Artikel
Sprache:eng
Schlagworte:
Bifurcation theory
Boundary conditions
Boundary value problems
Diffusion
Ecology
Growth rate
Hopf bifurcation
Manifolds
Manifolds (Mathematics)
Orbits
Ordinary differential equations
Partial differential equations
Periodic functions
Population
Stability
Studies
Theorems
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Beschreibung
Zusammenfassung:We investigate a modified delayed Leslie-Gower model under homogeneous Neumann boundary conditions. We give the stability analysis of the equilibria of the model and show the existence of Hopf bifurcation at the positive equilibrium under some conditions. Furthermore, we investigate the stability and direction of bifurcating periodic orbits by using normal form theorem and the center manifold theorem.
ISSN:1026-0226
1607-887X
DOI:10.1155/2013/170501