| Volume 5, Number 1, 2015, Pages 28-37 DOI：10.11948/2015003 |
| Global stability of a delayed ratio-dependent predator-prey model with Gompertz growth for prey |
| Shihua Zhang,Rui Xu |
| Keywords:Predator-prey model, ratio-dependence, Gompertz growth, stability, bifurcation. |
| Abstract: |
| A delayed ratio-dependent predator-prey model with Gompertz growth for prey is investigated. The local stability of a predator-extinction equilibrium and a coexistence equilibrium is discussed. Furthermore, the existence of Hopf bifurcation at the coexistence equilibrium is established. By constructing a Lyapunov functional, sufficient conditions are obtained for the global stability of the coexistence equilibrium. |
PDF Download reader
|
|
|
|