We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Global stability and Hopf bifurcation of a delayed eco-epidemiological model with Holling type II functional response.
- Authors
Tian, Xiaohong; Xu, Rui
- Abstract
In this paper, a delayed eco-epidemiological model with Holling type II functional response is investigated. By analyzing corresponding characteristic equations, the local stability of each of the feasible equilibria and the existence of Hopf bifurcations at the disease-free equilibrium, the susceptible predator-free equilibrium and the endemic-coexistence equilibrium are established, respectively. By means of Lyapunov functionals and LaSalle's invariance principle, sufficient conditions are derived for the global stability of the endemic-coexistence equilibrium, the disease-free equilibrium, the susceptible predator-free equilibrium and the predator-extinction equilibrium of the system, respectively. Numerical simulations are carried out to illustrate the theoretical results.
- Subjects
HOPF bifurcations; BIFURCATION theory; MATHEMATICAL models; LYAPUNOV exponents; NUMERICAL analysis
- Publication
Mathematical Methods in the Applied Sciences, 2015, Vol 38, Issue 17, p646
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.3381