Fast–Slow Dynamics for Intraguild Predation Models with Evolutionary Effects

Jianhe Shen, Cheng Hsiung Hsu, Ting Hui Yang

研究成果: 雜誌貢獻期刊論文同行評審

12 引文 斯高帕斯(Scopus)

摘要

This work is concerned with the fast–slow dynamics for intraguild predation models with evolutionary effects. Assuming the survival pressure of the weaker predator induces evolution of it to the intraguild predator, then the system can be viewed as a singularly perturbed problem with two different time scales—predation time scale and evolution time scale. Using the geometric singular perturbation theory, we first completely analyze the limiting slow–fast dynamics of the system which involve the existence of turning points. Then, an application of the geometric singular perturbation theory gives rise to the birth of relaxation oscillations caused by the turning points and the associated delay of stability loss. From our main results, one can see that evolution enhances survival rates of inferior competitors.

原文???core.languages.en_GB???
頁(從 - 到)895-920
頁數26
期刊Journal of Dynamics and Differential Equations
32
發行號2
DOIs
出版狀態已出版 - 1 6月 2020

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