Coexistence of three competing species with non-negative cross-diffusion rate

DOI10.1007/S10883-014-9219-6zbMath1300.35143OpenAlexW2074209469MaRDI QIDQ457174

Inkyung Ahn, Kimun Ryu, Wonlyul Ko

Publication date: 26 September 2014

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-014-9219-6

zbMATH Keywords

positive solutionsfixed point indexcompetition modelnon-negative cross-diffusion

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Positive solutions to PDEs (35B09)

Related Items (5)

Dynamical transition for a 3-component Lotka-Volterra model with diffusion ⋮ An \(N\)-barrier maximum principle for elliptic systems arising from the study of traveling waves in reaction-diffusion systems ⋮ N-barrier maximum principle for degenerate elliptic systems and its application ⋮ An elliptic cross-diffusion system describing two-species models on a bounded domain with different natural conditions ⋮ The global existence of a parabolic cross-diffusion system with discontinuous coefficients

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