Abstract
In this work, we show the existence of traveling wave solution of a diffusive predator-prey model with Holling type III functional response. The analysis is based on Wazewski's principle in the four-dimensional phase space of the nonlinear ordinary differential equation system given by the diffusive predator-prey system under the moving coordinates.
Information
Published: 1 January 2015
First available in Project Euclid: 30 October 2018
zbMATH: 1378.34070
MathSciNet: MR3381320
Digital Object Identifier: 10.2969/aspm/06410523
Subjects:
Primary:
34C37
,
35K57
,
92D25
,
92D40
Keywords:
LaSalle's invariance principle
,
Lyapunov function
,
traveling wave solution
,
Wazewski's principle
Rights: Copyright © 2015 Mathematical Society of Japan
