教師資料查詢 | 類別: 期刊論文 | 教師: 郭忠勝 Guo, Jong-shenq (瀏覽個人網頁)

標題:Traveling wave solutions for a predator-prey system with two predators and one prey
學年
學期
出版(發表)日期2020/08/01
作品名稱Traveling wave solutions for a predator-prey system with two predators and one prey
作品名稱(其他語言)
著者Jong-Shenq Guo; Ken-Ichi Nakamura; Toshiko Ogiwara; Chin-Chin Wu
單位
出版者
著錄名稱、卷期、頁數Nonlinear Analysis: Real World Applications 54, 103111
摘要We study a predator–prey model with two alien predators and one aborigine prey in which the net growth rates of both predators are negative. We characterize the invading speed of these two predators by the minimal wave speed of traveling wave solutions connecting the predator-free state to the co-existence state. The proof of the existence of traveling waves is based on a standard method by constructing (generalized) upper-lower-solutions with the help of Schauder's fixed point theorem. However, in this three species model, we are able to construct some suitable pairs of upper-lower-solutions not only for the super-critical speeds but also for the critical speed. Moreover, a new form of shrinking rectangles is introduced to derive the right-hand tail limit of wave profile.
關鍵字Predator–prey model;Traveling wave;Wave speed;Wave profile;Upper-lower-solution
語言英文
ISSN1878-5719
期刊性質國外
收錄於SCI;
產學合作
通訊作者
審稿制度
國別英國
公開徵稿
出版型式,電子版,紙本
相關連結
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