Year: 2016
Author: Liya Yang, Fengde Chen, Chengqiang Wu, Xiangdong Xie
Annals of Applied Mathematics, Vol. 32 (2016), Iss. 1 : pp. 42–53
Abstract
In this paper, the almost periodic predator-prey-mutualist model with Holling type II functional response is discussed. A set of sufficient conditions which guarantee the uniform persistence and the global attractivity of the system are obtained. For the almost periodic case, by constructing a suitable Lyapunov function, sufficient conditions which guarantee the existence of a unique globally attractive positive almost periodic solution of the system are obtained. An example together with its numerical simulations shows the feasibility of the main results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2016-AAM-20627
Annals of Applied Mathematics, Vol. 32 (2016), Iss. 1 : pp. 42–53
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: almost periodic solution predator-prey-mutualist system functional response Lyapunov function global attractivity.