Global Attractivity in an Almost Periodic Predator-Prey-Mutualist System

Global Attractivity in an Almost Periodic Predator-Prey-Mutualist System

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.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

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.

Author Details

Liya Yang

Fengde Chen

Chengqiang Wu

Xiangdong Xie