一类具有修正的Leslie-Gower项的捕食-食饵模型的正解

Abstract

Abstract:

In this paper, the dynamic behavior of positive solutions of a predator-prey system with Leslie-Gower response is considered. Firstly, we give the sufficient conditions for the existence of positive solutions of system by the fixed point index theory. Secondly, the uniqueness and stability of positive solution of system is established when the m is large. Finally, we construction the local bifurcation solutions by the local bifurcation theorem and we give the multiples and stability of positive solutions of system. It turns that the two species can co-exist under some suitable conditions.

Key words: Predator-prey model, Fixed point index, Existence, Stability, Multiplicity

CLC Number:

O175.26

Tong Zhao,Hailong Yuan,Gaihui Guo. Positive Solutions of a Predator-Prey Model with Modified Leslie-Gower Type[J].Acta mathematica scientia,Series A, 2022, 42(1): 176-186.

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References 18

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Positive Solutions of a Predator-Prey Model with Modified Leslie-Gower Type

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