一类食物链模型正解的稳定性和唯一性

Abstract

Abstract: A food-chain model with Leslie-Gower and Crowley-Martin functional response is investigated in this paper. The sufficient conditions for the existence of positive solutions are given by means of the fixed point index. Furthermore, use the regularity theory of elliptic equations, the nonexistence, stability and uniqueness of positive solutions are discussed. The results show that there exists a unique linearly stable positive solution under different conditions when the parameter c is large or bounded. Finally, some numerical simulations are presented to verify and complement the theoretical results.

Key words: Food-chain model, Crowley-Martin functional response, Fixed point index, Stability, Uniqueness

CLC Number:

O175.26

Li Haixia. Stability and Uniqueness of Positive Solutions for a Food-Chain Model[J].Acta mathematica scientia,Series A, 2017, 37(6): 1094-1104.

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Stability and Uniqueness of Positive Solutions for a Food-Chain Model

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