Traveling Fronts for a Time-periodic Population Model with Dispersal  

作　　者：Hai-qin ZHAO 

机构地区：[1]School of Mathematics and Statistics,Xidian University,Xi’an 710071,China

出　　处：《Acta Mathematicae Applicatae Sinica》2024年第4期1147-1154,共8页应用数学学报（英文版）

基　　金：partially supported by the Natural Science Basic Research Program of Shaanxi(No.2024JCYBMS-025);the Innovation Capability Support Program of Shaanxi(No.2024RS-CXTD-88)。

摘　　要：In this paper,we study a class of time-periodic population model with dispersal.It is well known that the existence of the periodic traveling fronts has been established.However,the uniqueness and stability of such fronts remain unsolved.In this paper,we first prove the uniqueness of non-critical periodic traveling fronts.Then,we show that all non-critical periodic traveling fronts are exponentially asymptotically stable.

关 键 词：periodic integro-differential equation time-periodic traveling front UNIQUENESS STABILITY 

分 类 号：Q141[生物学—生态学] O175[生物学—普通生物学]