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2015 Non-constant positive steady states for a strongly coupled nonlinear reaction-diffusion system arising in population dynamics
Zijuan Wen, Yuan Qi
Rocky Mountain J. Math. 45(4): 1333-1355 (2015). DOI: 10.1216/RMJ-2015-45-4-1333

Abstract

We consider a strongly coupled reaction-diffusion system describing three interacting species in a simple food chain structure. Based on the Leray-Schauder degree theory, the existence of non-constant positive steady states is investigated. The results indicate that, when the intrinsic growth rate of the middle species is small, cross-diffusions of the predators versus the preys are helpful to create global coexistence (stationary patterns).

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Zijuan Wen. Yuan Qi. "Non-constant positive steady states for a strongly coupled nonlinear reaction-diffusion system arising in population dynamics." Rocky Mountain J. Math. 45 (4) 1333 - 1355, 2015. https://doi.org/10.1216/RMJ-2015-45-4-1333

Information

Published: 2015
First available in Project Euclid: 2 November 2015

zbMATH: 1335.35130
MathSciNet: MR3418197
Digital Object Identifier: 10.1216/RMJ-2015-45-4-1333

Subjects:
Primary: 35J57
Secondary: 35B35, 92D25

Rights: Copyright © 2015 Rocky Mountain Mathematics Consortium

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Vol.45 • No. 4 • 2015
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