Dynamics of a predator-prey model with mutation and nonlocal effect  

作　　者：Bang-Sheng Han Shao-Yue Mi Miao-Miao Wen Lin Zhao 

机构地区：[1]School of Mathematics Southwest Jiaotong University Chengdu,Sichuan 611756,P.R.China [2]The Institute for Advanced Studies Wuhan University,Wuhan Hubei430000,P.R.China [3]Department of Mathematics Lanzhou University of Technology Lanzhou,Gansu 730000,P.R.China

出　　处：《International Journal of Biomathematics》2024年第8期123-146,共24页生物数学学报(英文版)

基　　金：supported by the Natural Science Foundation of China(12161052,11801470 and U22A20231);the Natural Science Foundation of Sichuan Province(2022NSFSC1819);the Central Government Funds for Guiding Local Scientific and Technological Development(2021zYD0010);the Fundamental Research Funds for the Central Universities(2682022zTPY080).

摘　　要：The global dynamics of a nonlocal predator-prey model with mutation are investigated in this paper.First,by building a new comparison principle and constructing monotone iterative sequences,we give the existence of the solution for the corresponding initial boundary value problem.Then the uniqueness and uniformly boundedness of the solution are established by using the fundamental solution and quasi-fundamental solution of the heat equation,Gronwall's inequality and auxiliary functions.Finally,under the truncation function method,we discuss the asymptotic behavior of the solution.It is worth mentioning that the asymptotic behavior here is different from the conclusion of the classical model and we use more refined analysis and estimation in the research process.

关 键 词：Predator-prey model NONLOCAL MUTATION WELL-POSEDNESS asymptotic behavior 

分 类 号：O175.2[理学—数学]