Fast–Slow Dynamics for Intraguild Predation Models with Evolutionary Effects
學年 107
學期 2
出版（發表）日期 2019-03-29
作品名稱 Fast–Slow Dynamics for Intraguild Predation Models with Evolutionary Effects
作品名稱（其他語言）
著者 Jianhe Shen; Cheng-Hsiung Hsu; Ting- Hui Yang
單位
出版者
著錄名稱、卷期、頁數 Journal of Dynamics and Differential Equations 32, p.895–920
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.
關鍵字 Intraguild predator;Geometric singular perturbation theory;Turning points;Delay of stability loss Relaxation oscillation;Transcritical bifurcation;Delayed bifurcation
語言 en
ISSN
期刊性質 國外
收錄於 SCI
產學合作
通訊作者
審稿制度 否
國別 USA
公開徵稿
出版型式 ,電子版
相關連結

機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/118818 )