TRAVELLING WAVES OF A DELAYED
PREDATOR-PREY MODEL WITH STAGE STRUCTURE
PREDATOR-PREY MODEL WITH STAGE STRUCTURE
Shihua Zhang
, Rui Xu
, Zhiping Wang
Institute of Applied Mathematics
Shijiazhuang Mechanical Engineering College
No. 97 Heping West Road, Shijiazhuang, 050003
Hebei Province, P.R. CHINA
, Rui Xu, Zhiping Wang
Institute of Applied Mathematics
Shijiazhuang Mechanical Engineering College
No. 97 Heping West Road, Shijiazhuang, 050003
Hebei Province, P.R. CHINA
Abstract. This paper investigates the existence of travelling wave solutions of a stage-structured predator-prey model with spatial diffusion and time delay. By using the cross iteration method and Schauder's fixed point theorem, we reduce the existence of travelling wave solutions to the existence of a pair of upper-lower solutions.
AMS Subject classification: 35A18, 35B35
Keywords and phrases: predator-prey model, spatial diffusion, upper-lower solutions, travelling waves
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DOI: 10.12732/ijam.v28i4.2
Volume: 28
Issue: 4
Year: 2015
