A singular perturbation result in competition theory

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:445

Article

Fernandez-Rincon, Sergio¹  Lopez-Gomez, Julian¹ 

[1] Univ Complutense Madrid, Dept Matemat Aplicada, E-28040 Madrid, Spain

关键词: Competition;    Coexistence;    Permanence;    Singular perturbation;    Limiting profiles;    Monotone scheme;   

DOI  :  10.1016/j.jmaa.2016.07.065

来源: Elsevier

【 摘 要 】

This paper establishes a generalized version of the singular perturbation results given by V. Hutson et al. [10, Theorem 4.1] and X. He and W.M. Ni [6, Theorem 4.2 (iii)]. In particular, it ascertains the limiting profiles of the coexistence states of the classical Lotka-Volterra model for two competing species as the diffusion coefficients approximate zero. They are provided by the global attractors of the underlying non-spatial model whenever they exist. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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