Fast–Slow Dynamics for Intraguild Predation Models with Evolutionary Effects

淡江大學機構典藏 > 理學院 > 數學學系暨研究所 > 期刊論文 > Item 987654321/118818

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題名:	Fast–Slow Dynamics for Intraguild Predation Models with Evolutionary Effects
作者:	Jianhe Shen;Cheng-Hsiung Hsu;Ting- Hui Yang
關鍵詞:	Intraguild predator;Geometric singular perturbation theory;Turning points;Delay of stability loss Relaxation oscillation;Transcritical bifurcation;Delayed bifurcation
日期:	2019-03-25
上傳時間:	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
顯示於類別:	[數學學系暨研究所] 期刊論文

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