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- Title
Stability and Hopf bifurcation of a predator-prey model with stage structure and time delay for the prey.
- Authors
Song, Yan; Xiao, Wen; Qi, Xiaoyu
- Abstract
A predator-prey system with stage structure and time delay for the prey is investigated. By analyzing the corresponding characteristic equations, the local stability of a positive equilibrium and two boundary equilibria of the system is discussed, respectively. By using persistence theory on infinite dimensional systems and comparison argument, respectively, sufficient conditions are obtained for the global stability of the positive equilibrium and one of the boundary equilibria of the proposed system. Further, the existence of a Hopf bifurcation at the positive equilibrium is studied. Numerical simulations are carried out to illustrate the main results.
- Subjects
PREDATION; TIME delay systems; STABILITY theory; EQUILIBRIUM; HOPF bifurcations; MATHEMATICAL models
- Publication
Nonlinear Dynamics, 2016, Vol 83, Issue 3, p1409
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-015-2413-6