GLOBAL STABILITY OF TRAVELING WAVEFRONTS FOR NONLOCAL REACTION-DIFFUSION EQUATIONS WITH TIME DELAY

数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (1): 289-302.

GLOBAL STABILITY OF TRAVELING WAVEFRONTS FOR NONLOCAL REACTION-DIFFUSION EQUATIONS WITH TIME DELAY

杨兆星, 张国宝

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

收稿日期:2016-09-06 修回日期:2017-08-18 出版日期:2018-02-25 发布日期:2018-02-25
通讯作者: Guobao ZHANG E-mail:zhanggb2011@nwnu.edu.cn
作者简介:Zhaoxing YANG,E-mail:945166426@qq.com
基金资助:
This work was supported by NSF of China (11401478), Gansu Provincial Natural Science Foundation (145RJZA220).

GLOBAL STABILITY OF TRAVELING WAVEFRONTS FOR NONLOCAL REACTION-DIFFUSION EQUATIONS WITH TIME DELAY

Zhaoxing YANG, Guobao ZHANG

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received:2016-09-06 Revised:2017-08-18 Online:2018-02-25 Published:2018-02-25
Contact: Guobao ZHANG E-mail:zhanggb2011@nwnu.edu.cn
Supported by:
This work was supported by NSF of China (11401478), Gansu Provincial Natural Science Foundation (145RJZA220).

摘要/Abstract

摘要： This paper is concerned with the stability of traveling wavefronts for a population dynamics model with time delay. Combining the weighted energy method and the comparison principle, the global exponential stability of noncritical traveling wavefronts (waves with speeds c > c^*, where c=c^* is the minimal speed) is established, when the initial perturbations around the wavefront decays to zero exponentially in space as x → -∞, but it can be allowed arbitrary large in other locations, which improves the results in[9, 18, 21].

关键词: nonlocal reaction-diffusion equations, traveling wavefronts, stability, comparison principle, weighted energy method

Abstract: This paper is concerned with the stability of traveling wavefronts for a population dynamics model with time delay. Combining the weighted energy method and the comparison principle, the global exponential stability of noncritical traveling wavefronts (waves with speeds c > c^*, where c=c^* is the minimal speed) is established, when the initial perturbations around the wavefront decays to zero exponentially in space as x → -∞, but it can be allowed arbitrary large in other locations, which improves the results in[9, 18, 21].

Key words: nonlocal reaction-diffusion equations, traveling wavefronts, stability, comparison principle, weighted energy method

杨兆星, 张国宝. GLOBAL STABILITY OF TRAVELING WAVEFRONTS FOR NONLOCAL REACTION-DIFFUSION EQUATIONS WITH TIME DELAY[J]. 数学物理学报(英文版), 2018, 38(1): 289-302.

Zhaoxing YANG, Guobao ZHANG. GLOBAL STABILITY OF TRAVELING WAVEFRONTS FOR NONLOCAL REACTION-DIFFUSION EQUATIONS WITH TIME DELAY[J]. Acta mathematica scientia,Series B, 2018, 38(1): 289-302.

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GLOBAL STABILITY OF TRAVELING WAVEFRONTS FOR NONLOCAL REACTION-DIFFUSION EQUATIONS WITH TIME DELAY

GLOBAL STABILITY OF TRAVELING WAVEFRONTS FOR NONLOCAL REACTION-DIFFUSION EQUATIONS WITH TIME DELAY

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