Global Asymptotics in Some Quasimonotone Reaction-Diffusion Systems with Delays

Both dichotomy and trichotomy on the global asymptotics of some quasimonotone reaction-diffusion systems with delays are established in terms of the principal eigenvalue of linear weakly coupled elliptic systems. Applications to a class of delayed reaction-diffusion models of single species growth a...

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Bibliographic Details
Published inJournal of Differential Equations Vol. 137; no. 2; pp. 340 - 362
Main Authors Freedman, H.I, Zhao, Xiao-Qiang
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.07.1997
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Summary:Both dichotomy and trichotomy on the global asymptotics of some quasimonotone reaction-diffusion systems with delays are established in terms of the principal eigenvalue of linear weakly coupled elliptic systems. Applications to a class of delayed reaction-diffusion models of single species growth and to a reaction-diffusion system with delay, modelling the spread of bacterial infections, are provided.
ISSN:0022-0396
1090-2732
DOI:10.1006/jdeq.1997.3264