Asymptotic behavior of solutions to a class of diffusive predator-prey systems
學年 106
學期 2
出版（發表）日期 2018-06-01
作品名稱 Asymptotic behavior of solutions to a class of diffusive predator-prey systems
作品名稱（其他語言）
著者 Arnaud Ducrot; Jong-Shenq Guo
單位
出版者
著錄名稱、卷期、頁數 Journal of Evolution Equations, 18, 755-775
摘要 We study the large time behavior of a class of diffusive predator–prey systems posed on the whole Euclidean space. By studying a family of similar problems with all possible spatial translations, we first prove the asymptotic persistence of the prey for the spatially heterogeneous case under certain assumptions on the coefficients. Then, applying this persistence theorem, we prove the convergence of the solution to the unique positive equilibrium for the spatially homogeneous case, under certain restrictions on the space dimension and the predation coefficient.
關鍵字 Predator–prey system;Asymptotic behavior;Persistence
語言 en_US
ISSN 1424-3202
期刊性質 國外
收錄於 SCI
產學合作
通訊作者 Jong-Shenq Guo
審稿制度 是
國別 CHE
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/987654321/114913 )