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The existence and stability of steady states for a prey-predator system with cross diffusion of quasilinear fractional type

The existence and stability of steady states for a prey-predator system with cross diffusion of... This paper is concerned with the existence and stability of steady states for a prey-predator system with cross diffusion of quasilinear fractional type. We obtain a sufficient condition for the existence of positive steady state solutions by applying bifurcation theory and a detailed priori estimate. In virtue of the principle of exchange of stability, we prove the stability of local bifurcating solutions near the bifurcation point. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

The existence and stability of steady states for a prey-predator system with cross diffusion of quasilinear fractional type

Acta Mathematicae Applicatae Sinica , Volume 30 (1) – Apr 26, 2014

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References (24)

Publisher
Springer Journals
Copyright
Copyright © 2014 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-014-0281-3
Publisher site
See Article on Publisher Site

Abstract

This paper is concerned with the existence and stability of steady states for a prey-predator system with cross diffusion of quasilinear fractional type. We obtain a sufficient condition for the existence of positive steady state solutions by applying bifurcation theory and a detailed priori estimate. In virtue of the principle of exchange of stability, we prove the stability of local bifurcating solutions near the bifurcation point.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Apr 26, 2014

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