一类具有Lotka-Volterra竞争模型共存解的存在性与稳定性

Abstract

Abstract:

In this paper, we consider the existence and stability of coexistence states in a Lotka-Volterra competition model with spatial heterogeneity of the environment. In particular, the two competing species are assumed that they have the different strengths of resources, the different intraspecific competition rates and the different interspecific competition rates. It turns out that the dynamics of system are determined by some scalar functions for small parameter τ. Our mathematical approach is based on Lyapunov-Schmidt reduction technique, spectral theory and monotone dynamical system theory.

Key words: Competition, Stability, Coexistence states

CLC Number:

O175.26

Yuan Hailong, Li Yanling. Existence and Stability of Coexistence States for a Lotka-Volterra Competition Model[J].Acta mathematica scientia,Series A, 2017, 37(1): 173-184.

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References

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Existence and Stability of Coexistence States for a Lotka-Volterra Competition Model

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