Persistence of wavefronts in delayed nonlocal reaction-diffusion equations

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:235

Article

Ou, Chunhua ; Wu, Hanhong

关键词: persistence;    delay;    reaction-diffusion equations;    traveling wavefronts;    nonmonotone nonlinearity;    delayed induced nonlocality;    monostable and bistable;    population dynamics;    bio-reactor;    hybrid system;    hyperbolic-parabolic equations;   

DOI  :  10.1016/j.jde.2006.12.010

来源: Elsevier

【 摘 要 】

We develop a perturbation argument based on existing results on asymptotic autonomous systems and the Fredholm alternative theory that yields the persistence of traveling wavefronts for reaction-diffusion equations with nonlocal and delayed nonlinearities, when the time lag is relatively small. This persistence result holds when the nonlinearity of the corresponding ordinary reaction-diffusion system is either monostable or bistable. We then illustrate this general result using five different models from population biology, epidemiology and bio-reactors. (c) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free