Global Dynamics of a Predator–Prey Model with General Holling Type Functional Responses
A predator–prey model with general Holling type functional response is considered. The aim of this paper is to investigate the global stability of the interior equilibrium of the model when it exists. By transforming the model to an equivalent system and with the detailed analysis of the crucial behavior of a corresponding function we are able to show that the local stability and the global stability of the interior equilibrium are equivalent.
KeywordsPredator–prey model General Holling type functional response Global stability of interior equilibrium
The first author of this paper would like to thank National Natural Science Foundation of China (No. 11431008) for the partial support of this research.
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