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.