Traveling wave solutions for a three-component noncooperative systems arising in nonlocal diffusive biological models  

作　　者：Ran Zhang Hongyong Zhao 

机构地区：[1]School of Mathematics Nanjing University of Aeronautics and Astronautics Nanjing 211106,P.R.China [2]Key Laboratory of Mathematical Modelling and High Performance Computing of Air Vehicles(NUAA)MIIT,Nanjing 211106,P.R.China [3]School of Mathematical Science,Heilongjiang University Harbin 150080,P.R.China

出　　处：《International Journal of Biomathematics》2024年第7期187-216,共30页生物数学学报(英文版)

基　　金：supported by National Natural Science Foundation of China(Nos.11971013,12101309);the Fundamental Research Funds for the Colleges and Universities in Heilongjiang Province(No.2022-KYYWF-1113).

摘　　要：This paper aims to study the existence of traveling wave solutions(TWS)for a three-component noncooperative systems with nonlocal diffusion.Our main results reveal that when a threshold R>1,there exists a critical wave speed c^(*)>0.By using sub-and super-solution methods and Schauder's fixed point theorem,we prove that the system admits a nontrivial TWS for each c≥c^(*).Meanwhile,we show that there exists no nontrivial TWS for c<c^(*)by detailed analysis.Finally,we apply our results to a nonlocal diffusive epidemic model with vaccination,and the boundary asymptotic behavior of TWS for the special case is obtained by constructing a suitable Lyapunov functional.Our research provides some insights on how to deal with the problem of TWS for the nonlocal diffusive epidemic models with bilinear incidence,which extends some results in the previous studies.

关 键 词：Traveling wave solution nonlocal diffusion biological model Schauder's fixed point theorem noncooperative systems 

分 类 号：O17[理学—数学]