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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.

Liya Yang, Fengde Chen, Chengqiang Wu & Xiangdong Xie. (2022). Global Attractivity in an Almost Periodic Predator-Prey-Mutualist System. Annals of Applied Mathematics. 32 (1). 42-53. doi:
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