Positive Steady State Solutions of a Diffusive Leslie-Gower Predator-Prey Model with Holling Type II Functional Response and Cross-Diffusion
Zhou, Jun Kim, Chan-Gyun Shi, Junping
Zhou, Jun
Kim, Chan-Gyun
Shi, Junping
Abstract
In this paper we consider a diffusive Leslie Gower predator prey model with Holling type II functional response and cross-diffusion under zero Dirichlet boundary condition. By using topological degree theory, bifurcation theory, energy estimates and asymptotic behavior analysis, we prove the existence, uniqueness and multiplicity of positive steady states solutions under certain conditions on the parameters.
Description
Date
2014-01-01
Journal Title
Journal ISSN
Volume Title
Publisher
Collections
Download Dataset
Embargo
Research Projects
Organizational Units
Journal Issue
Keywords
Citation
Advisor
Department
Mathematics
DOI
https://doi.org/10.3934/dcds.2014.34.3875