Reaction-diffusion equations for competing species singularly perturbed by a small diffusion rate

DOI10.1216/RMJ-1983-13-1-177zbMath0527.35044MaRDI QIDQ786327

Anthony W. Leung

Publication date: 1983

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

upper and lower boundslarge-time behaviourasymptotic estimatesreaction-diffusion equationscompeting speciesinitial-boundary Dirichlet conditionssmall diffusion rate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Population dynamics (general) (92D25)

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Coexistence-equilibria for competition-diffusion systems with a small diffusion rate, Global aspect of steady-states for competitive-diffusive systems with homogeneous Dirichlet conditions