Reaction-diffusion equations of two species competing for two complementary resources with internal storage

DOI10.1016/j.jde.2011.05.003zbMath1222.35101OpenAlexW2094167354MaRDI QIDQ550016

Feng-Bin Wang, Sze-Bi Hsu, Ji-Fa Jiang

Publication date: 19 July 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.05.003

zbMATH Keywords

coexistenceunstirred chemostatupper-lower solutionssingularity in reaction termmomotone dynamical systemswashout and survival

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Maximum principles in context of PDEs (35B50) Cell movement (chemotaxis, etc.) (92C17) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51) Monotone flows as dynamical systems (37C65)

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Cites Work

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• On a system of reaction-diffusion equations arising from competition with internal storage in an unstirred chemostat
• A model of flexible uptake of two essential resources
• Global dynamics of microbial competition for two resources with internal storage
• On a System of Reaction-Diffusion Equations Arising from Competition in an Unstirred Chemostat
• On the Global Stability of Cooperative Systems
• The Theory of the Chemostat