Permanence and Extinction for One Class of Holling type Ⅱ Predator-Prey Model with Dispersal among Patches
In this paper,we investigate a Holling type Ⅱ predator-prey model with n-patch and dispersal,our main purpose to extend the model by [3] on a predator-prey model with dispersal for prey among n patches to the case of Holling type Ⅱ functional response.By using the method of permanence and extinction theories,we derive sufficient conditions under which that the system is permanent and the boundary equilibrium of the Holling type Ⅱ predator-prey model is global asymptotically stable.
Predator-prey systemPermanenceExtinctionStabilityHolling type Ⅱ functional response.
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