Global stability of an eco-epidemiological predator-prey model with saturation incidence
详细信息 查看全文
- 作者：Lingshu Wang ; Guanghui Feng
- 关键词：Eco ; epidemiological model ; Stage structure ; Time delay ; LaSalle invariant principle ; Hopf bifurcation ; Stability
- 刊名：Journal of Applied Mathematics and Computing
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：53
- 期：1-2
- 页码：303-319
- 全文大小：
- 刊物类别：Mathematics and Statistics
- 刊物主题：Computational Mathematics and Numerical Analysis; Appl.Mathematics/Computational Methods of Engineering; Theory of Computation; Mathematics of Computing;
- 出版者：Springer Berlin Heidelberg
- ISSN：1865-2085
- 卷排序：53
文摘
A delayed predator-prey model with disease in the predator and stage structure for the prey is investigated. By analyzing the corresponding characteristic equations, the local stability of each of feasible equilibria is studied. The existence of Hopf bifurcations at the disease-free equilibrium and the coexistence equilibrium are addressed, respectively. By using Lyapunov functions and LaSalle invariant principle, sufficient conditions are derived for the global stability of the trivial equilibrium, the predator-extinction equilibrium and the disease-free equilibrium, respectively. Further, sufficient conditions are derived for the global attractiveness of the coexistence equilibrium of the proposed system.