反应扩散Ross-Macdonald模型周期行波解的稳定性  

Stability of Periodic Traveling Waves for a Reaction-diffusion Ross-Macdonald Model

作　　者：韩浏玥 白振国 HAN Liuyue;BAI Zhenguo(School of Mathematics and Statistics,Xidian University,Xi'an 710071,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：《山西大学学报（自然科学版）》2022年第6期1460-1469,共10页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(11971369);中央高校基本科研业务费专项资金(JB210711)。

摘　　要：文章研究一个具有扩散Ross-Macdonald模型非临界周期行波解的稳定性。通过建立原系统和一个辅助线性系统的初值或初边值问题的比较定理,利用挤压技巧获得了当行波解的初始扰动关于加权最大模范数一致有界时,柯西问题的解指数收敛到周期行波解。This paper deals with the stability of the non-critical periodic traveling waves for a Ross-Macdonald model with diffusion.By establishing the comparison theorem for an initial or initial-boundary value problem of our model system and an auxiliary linear system,together with the squeezing technique,we show that the solution of the Cauchy problem exponentially converges to the periodic traveling wave when the initial perturbation of the traveling wave is uniformly bounded with respect to a weighted maximum norm.

关 键 词：Ross-Macdonald模型 周期行波 稳定性 比较定理 

分 类 号：O175[理学—数学]