The stability of equilibria for a reaction–diffusion–ODE system on convex domains

A reaction–diffusion equation coupled to an ODE on convex domains is proposed to model a single species with a non-mobile state and an active state. Under general cooperative/competitive interactions, a trivial stability on convex domains is shown and the reaction–diffusion–ODE system does not suppo...

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Bibliographic Details
Published inApplied mathematics letters Vol. 93; pp. 147 - 152
Main Author Wang, Jinfeng
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.07.2019
Subjects
Convex domains
Cooperative systems
Reaction–diffusion
Stability
Stability
Convex domains
Reaction–diffusion
Cooperative systems
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Summary:A reaction–diffusion equation coupled to an ODE on convex domains is proposed to model a single species with a non-mobile state and an active state. Under general cooperative/competitive interactions, a trivial stability on convex domains is shown and the reaction–diffusion–ODE system does not support interesting patterns.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2019.02.008