Existence of steady-state solutions of predator-prey equations in a heterogeneous environment

DOI10.1016/0022-247X(87)90312-XzbMath0682.35057WikidataQ115599956 ScholiaQ115599956MaRDI QIDQ1824104

Clayton Keller, Roger Lui

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Schauder's fixed point theoremvariational methodpredator-prey modelsteady-state solution

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50)

Related Items

Positive solutions of a class of biological models in a heterogeneous environment, The relationships between equilibria and positive solutions of certain nonlinear elliptic systems

Cites Work

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• The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domains
• On nonlinear reaction-diffusion systems
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Diffusion and the predator-prey interaction: steady states with flux at the boundaries
• Asymptotic Behaviors of a Parabolic System Related to a Planktonic Prey and Predator Model
• Elliptic Partial Differential Equations of Second Order
• Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
• Weakly coupled systems of nonlinear elliptic boundary value problems
• Equivalent Norms for Sobolev Spaces