Ma, S. (2001) Traveling Wavefronts for Delayed Reaction—Diffusion Systems via a Fixed Point Theorem. Journal of Differential Equations, 171, 294-314. http://dx.doi.org/10.1006/jdeq.2000.3846

has been cited by the following article:

• TITLE: Dynamics Behaviors of a Reaction-Diffusion Predator-Prey System with Beddington-DeAngelis Functional Response and Delay

  AUTHORS: Peng Du, Caixia Duan, Xinyuan Liao

  KEYWORDS: Traveling Wave Solutions, Reaction-Diffusion System, Upper-Lower Solutions, Local Stability

  JOURNAL NAME: Applied Mathematics, Vol.5 No.6, April 2, 2014

  ABSTRACT: This paper is concerned with the existence of traveling wave solutions in a reaction-diffusion predator-prey system with Beddington-DeAngelis functional response and a discrete time delay. By introducing a partial quasi-monotonicity condition and constructing a pair of upper-lower solutions, we establish the existence of traveling wave solutions. Moreover, a numerical simulation is carried out to illustrate the theoretical results.