空间周期非局部扩散系统波前解的唯一性和稳定性  

Uniqueness and stability of traveling wave fronts for nonlocal diffusion systems in periodic habitat

作　　者：闫瑜 吴事良 YAN Yu;WU Shi-liang(School of Mathematics and Statistics,Xidian University,Xi'an 710071,Shaanxi,China)

机构地区：[1]西安电子科技大学数学与统计学院,陕西西安710071

出　　处：《西北师范大学学报（自然科学版）》2021年第3期13-21,共9页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11671315);陕西省杰出青年基金资助项目(2020JC-24)。

摘　　要：研究一类具有静止阶段的空间周期非局部扩散模型波前解的唯一性和指数稳定性.根据模型本身的特点将其转化为标量方程,证明了非临界波前解在平移不变意义下的唯一性;通过构造合适的权函数结合比较定理证明了所有非临界波前解的指数稳定性,并得到了具体的收敛率.This paper mainly deals with the uniqueness and exponential stability of the traveling waves fronts for a class of nonlocal diffusion models with quiescent stages in the periodic habitat.Firstly,according to the characteristics of the model itself,it is proved that the non-critical traveling wave fronts is unique in the sense of translation invariance by converting it into a scalar equation.Next,the exponential stability of all non-critical traveling wave fronts and the convergence rate have been obtained by constructing a suitable weight function and comparison theorem.

关 键 词：非局部扩散系统 脉冲波 唯一性 稳定性 空间周期 

分 类 号：O175[理学—数学]