Exponential Stability of Traveling Waves for a Reaction Advection Diffusion Equation with Nonlinear-Nonlocal Functional Response

被引：0
作者：
Yan, Rui [1 ]
Liu, Guirong [2 ]
机构：
[1] Shanxi Univ Finance & Econ, Sch Appl Math, Taiyuan 030006, Shanxi, Peoples R China
[2] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2017年 / 2017卷
基金：
中国国家自然科学基金;
关键词：
ASYMPTOTIC STABILITY; GLOBAL STABILITY; LOCAL STABILITY; FRONTS; EXISTENCE; MODEL;
D O I：
10.1155/2017/4614925
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The stability of a reaction advection diffusion equation with nonlinear-nonlocal functional response is concerned. By using the technical weighted energy method and the comparison principle, the exponential stability of all noncritical traveling waves of the equation can be obtained. Moreover, we get the rates of convergence. Our results improve the previous ones. At last, we apply the stability result to some real models, such as an epidemic model and a population dynamic model.
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页数：13
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