American Institute of Mathematical Sciences

Advanced
2005, 2005(Special): 173-180. doi: 10.3934/proc.2005.2005.173

Steady states of a strongly coupled prey-predator model

Xinfu Chen 1, , Yuanwei Qi 2, and  Mingxin Wang 3,

1. 

Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, United States
2. 

Department of Mathematics, University of Central Florida, Orlando, Fl 32816, United States
3. 

Department of Mathematics, Xuzhou Normal University, Xuzhou 221116

Received  September 2004 Revised  March 2005 Published  September 2005

We study an elliptic system arising from a prey-predator model, where cross diffusions are included to reflect the influences of density gradients of prey and predator toward the fluxes of underlying populations. We establish existence and non{existence of non{constant positive solutions, or the possible pattern of popula- tion distribution.
Keywords: elliptic system, Steady states, prey-predator mode..
Mathematics Subject Classification: Primary 35J55; Secondary 92D2.
Citation: Xinfu Chen, Yuanwei Qi, Mingxin Wang. Steady states of a strongly coupled prey-predator model. Conference Publications, 2005, 2005 (Special) : 173-180. doi: 10.3934/proc.2005.2005.173
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