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Volume 32, Issue 1
Global Attractivity in an Almost Periodic Predator-Prey-Mutualist System

Liya Yang, Fengde Chen, Chengqiang Wu & Xiangdong Xie

Ann. Appl. Math., 32 (2016), pp. 42-53.

Published online: 2022-06

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  • 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.

  • Keywords

almost periodic solution, predator-prey-mutualist system, functional response, Lyapunov function, global attractivity.

  • AMS Subject Headings

34C25, 92D25, 34D20, 34D40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAM-32-42, author = {Yang , LiyaChen , FengdeWu , Chengqiang and Xie , Xiangdong}, title = {Global Attractivity in an Almost Periodic Predator-Prey-Mutualist System}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {32}, number = {1}, pages = {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.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20627.html} }
TY - JOUR T1 - Global Attractivity in an Almost Periodic Predator-Prey-Mutualist System AU - Yang , Liya AU - Chen , Fengde AU - Wu , Chengqiang AU - Xie , Xiangdong JO - Annals of Applied Mathematics VL - 1 SP - 42 EP - 53 PY - 2022 DA - 2022/06 SN - 32 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20627.html KW - almost periodic solution, predator-prey-mutualist system, functional response, Lyapunov function, global attractivity. AB -

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.

Yang , LiyaChen , FengdeWu , Chengqiang and Xie , Xiangdong. (2022). Global Attractivity in an Almost Periodic Predator-Prey-Mutualist System. Annals of Applied Mathematics. 32 (1). 42-53. doi:
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