Asymptotic behavior and positive steady-state solutions of a reaction-diffusion model with autocatalysis and saturation law

DOI10.1016/0362-546X(93)90127-EzbMath0796.35074OpenAlexW2057808329MaRDI QIDQ4275607

Wei H. Ruan

Publication date: 25 September 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(93)90127-e

zbMATH Keywords

asymptotic behaviorpositive stationary solutionunbounded bifurcation branch

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32)

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Cites Work

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• Coexistence Theorems of Steady States for Predator-Prey Interacting Systems
• Singular perturbations approach to the limit cycle and global patterns in a nonlinear diffusion-reaction problem with autocatalysis and saturation law
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

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