Title of article
Positive steady states for a prey–predator model with some nonlinear diffusion terms
Author/Authors
Tomohito Kadota، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2006
Pages
15
From page
1387
To page
1401
Abstract
This paper discusses a prey–predator system with strongly coupled nonlinear diffusion terms. We give a
sufficient condition for the existence of positive steady state solutions. Our proof is based on the bifurcation
theory. Some a priori estimates for steady state solutions will play an important role in the proof.
© 2005 Elsevier Inc. All rights reserved
Keywords
Bifurcation , coexistence , Prey–predator model , Nonlinear diffusion , steady state , A priori estimate
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2006
Journal title
Journal of Mathematical Analysis and Applications
Record number
934966
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