Well-posedness and dissipativity for a model of bacteriophage and bacteria in a flow reactor

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3 Scopus citations

Abstract

The Levin-Stewart model of bacteriophage predation of bacteria in a chemostat is modified for a flow reactor in which bacteria are motile, phage diffuse, and advection brings fresh nutrient and removes medium, cells and phage. A fixed latent period for phage results in a system of delayed reaction-diffusion equations with non-local nonlinearities. We show that the model generates a well-posed dynamical system which has a compact global attractor.

Original languageEnglish (US)
Pages (from-to)597-613
Number of pages17
JournalRocky Mountain Journal of Mathematics
Volume41
Issue number2
DOIs
StatePublished - Jun 17 2011

ASJC Scopus subject areas

  • Mathematics(all)

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