Positive steady-states for two interacting species models with linear self-cross diffusions

DOI10.3934/DCDS.2003.9.1049zbMath1065.35119OpenAlexW2020482432MaRDI QIDQ1395997

Kimun Ryu, Inkyung Ahn

Publication date: 12 October 2003

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2003.9.1049

zbMATH Keywords

existencesemi-trivial solutionpredator-prey modelcompetition modeltheory of fixed point indexpositive coexistencedecomposing operatornonlinear system of elliptic partial differential equations

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Nonlinear elliptic equations (35J60) Degree theory for nonlinear operators (47H11) Index theory and related fixed-point theorems on manifolds (58J20) Applications of operator theory to differential and integral equations (47N20) Applications of operator theory in chemistry and life sciences (47N60)

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