Steady states of a strongly coupled prey-predator model

Xinfu Chen; Yuanwei Qi; Mingxin Wang

doi:10.3934/proc.2005.2005.173

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2005, Volume 2005: 173-180. Doi: 10.3934/proc.2005.2005.173 open access

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Steady states of a strongly coupled prey-predator model

1.
Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260
2.
Department of Mathematics, University of Central Florida, Orlando, Fl 32816
3.
Department of Mathematics, Xuzhou Normal University, Xuzhou 221116

Received: August 31, 2004

Revised: February 28, 2005

Published: August 2005

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Abstract

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.

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Mathematics Subject Classification: Primary 35J55; Secondary 92D25.

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