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Global stability of a delayed ratio-dependent predator-prey model with Gompertz growth for prey |
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| Authors: | Shihua Zhang and Rui Xu |
| 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. |
| Keywords: | Predator-prey model ratio-dependence Gompertz growth stability bifurcation |
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