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    题名: Fast–Slow Dynamics for Intraguild Predation Models with Evolutionary Effects
    作者: Jianhe Shen;Cheng-Hsiung Hsu;Ting- Hui Yang
    关键词: Intraguild predator;Geometric singular perturbation theory;Turning points;Delay of stability loss Relaxation oscillation;Transcritical bifurcation;Delayed bifurcation
    日期: 20190325
    上传时间: 2020-07-01 12:10:34 (UTC+8)
    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.
    關聯: Journal of Dynamics and Differential Equations 32, p.895–920
    DOI: 10.1007/s10884-019-09744-3
    显示于类别:[數學學系暨研究所] 期刊論文

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