教師資料查詢 | 類別: 期刊論文 | 教師: 楊定揮YANG, TING-HUI (瀏覽個人網頁)

標題: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
語言英文
ISSN
期刊性質國外
收錄於SCI;
產學合作
通訊作者
審稿制度
國別美國
公開徵稿
出版型式,電子版
相關連結
SDGs
Google+ 推薦功能,讓全世界都能看到您的推薦!