Global Asymptotic Behavior of a Nonautonomous Competitor-Competitor-Mutualist Model

Shengmao Fu and Fei Qu

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

The global asymptotic behavior of a nonautonomous competitor-competitor-mutualist model is investigated, where all the coefficients are time-dependent and asymptotically approach periodic functions, respectively. Under certain conditions, it is shown that the limit periodic system of this asymptotically periodic model admits two positive periodic solutions such that , and the sector is a global attractor of the asymptotically periodic model. In particular, we derive sufficient conditions that guarantee the existence of a positive periodic solution which is globally asymptotically stable.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:812357

DOI: 10.1155/2013/812357

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