期刊論文

學年 109
學期 1
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 en
ISSN 1878-5719
期刊性質 國外
收錄於 SCI
產學合作
通訊作者
審稿制度
國別 GBR
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/987654321/119166 )