Wavefronts of a Nonlocal State-dependent Time Delay Model  

作　　者：Rui Jun XIE Rong YUAN Zhi Hui YANG 

机构地区：[1]School of Statistics and Applied Mathematics,Anhui University of Finance and Economics,Bengbu 233030,P.R.China [2]School of Mathematical Sciences,Beijing Normal University,Beijing 100875,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2020年第1期77-92,共16页数学学报（英文版）

基　　金：Supported by NSFC(Grant Nos.11771044,11871007);Foundation of Anhui University of Finance and Economics(Grant No.ACKYC19051);Major Research Projects of Natural Science in Colleges and Universities of Anhui Province(Grant No.KJ2017ZD35)

摘　　要：This paper is concerned with the travelling wavefronts of a nonlocal dispersal cooperation model with harvesting and state-dependent delay,which is assumed to be an increasing function of the population density with lower and upper bound.Especially,state-dependent delay is introduced into a nonlocal reaction-diffusion model.The conditions of Schauder's fixed point theorem are proved by constructing a reasonable set of functionsΓ(see Section 2)and a pair of upper-lower solutions,so the existence of traveling wavefronts is established.The present study is continuation of a previous work that highlights the Laplacian diffusion.This paper is concerned with the travelling wavefronts of a nonlocal dispersal cooperation model with harvesting and state-dependent delay, which is assumed to be an increasing function of the population density with lower and upper bound. Especially, state-dependent delay is introduced into a nonlocal reaction-diffusion model. The conditions of Schauder’s fixed point theorem are proved by constructing a reasonable set of functions Γ(see Section 2) and a pair of upper-lower solutions, so the existence of traveling wavefronts is established. The present study is continuation of a previous work that highlights the Laplacian diffusion.

关 键 词：NONLOCALITY state-dependent delay COOPERATION traveling wavefronts 

分 类 号：O175[理学—数学]