Global dynamics and traveling wave solutions for a three-species model
學年 110
學期 2
出版（發表）日期 2022-03-15
作品名稱 Global dynamics and traveling wave solutions for a three-species model
作品名稱（其他語言）
著者 Fanfan Li; Zhenlai Han; Ting-Hui Yang
單位
出版者
著錄名稱、卷期、頁數 Mathematical Methods in the Applied Sciences 45(4), P.2380-2397
摘要 In this work, we investigate the system of a three-species ecological model involving one predator–prey subsystem coupling with a generalist predator with negative effect on the prey. Without diffusive terms, all global dynamics of its corresponding reaction equations are proved analytically for all classified parameters. With diffusive terms, the transitions of different spatial homogeneous solutions, the existence of traveling wave solutions, are investigated by a higher dimensional shooting method, the Wazewski method. These mathematical results, under mild conditions, imply that a generalist predator can stabilize a predator–prey system even with negative effects of coupling. Finally, some biological implications are given and the interesting numerical simulations are performed.
關鍵字
語言 en_US
ISSN 1099-1476
期刊性質 國外
收錄於 SCI Scopus
產學合作
通訊作者 Tinghui Yang
審稿制度 是
國別 TWN
公開徵稿
出版型式 ,電子版,紙本
相關連結

機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/122111 )