Existence and stability of stationary waves of a population model with strong Allee effect

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:307

Article; Proceedings Paper

Bani-Yaghoub, Majid¹  Yao, Guangming²  Voulov, Hristo¹ 

[1] Univ Missouri, Dept Math & Stat, Kansas City, MO 64110 USA

[2] Clarkson Univ, Dept Math, Potsdam, NY 13699 USA

关键词: Allee effect;    Delay;    Reaction-diffusion;    Nonlocality;    Stationary wave;   

DOI  :  10.1016/j.cam.2015.11.021

来源: Elsevier

【 摘 要 】

We investigate the existence and stability of stationary waves of a nonlocal reaction diffusion population model with delay, nonlocality and strong Allee effect. By reducing the model, the conditions for existence of stationary wavefront, wave pulse and inverted wave pulse are established. Then we show that the stationary waves of the reduced model are also the stationary waves of the general model. The global stability of the stationary waves is illustrated by numerically solving the general model for different sets of parameter values. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free