Qualitative analysis on a cubic predator-prey system with diffusion

In this paper, we study a cubic predator-prey model with diffusion. We first establish the global stability of the trivial and nontrivial constant steady states for the reaction diffusion system, and then prove the existence and non-existence results concerning non-constant positive stationary solut...

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Bibliographic Details
Main Author: Qunyi Bie
Format: Article
Language:English
Published: University of Szeged 2011-04-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=554