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

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 - 2011

Fingerprint

Dissipativity
Well-posedness
Bacteria
Reactor
Chemostat
Global Attractor
Advection
Reaction-diffusion Equations
Nutrients
Dynamical system
Nonlinearity
Cell
Model

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Well-posedness and dissipativity for a model of bacteriophage and bacteria in a flow reactor. / Smith, Hal.

In: Rocky Mountain Journal of Mathematics, Vol. 41, No. 2, 2011, p. 597-613.

Research output: Contribution to journalArticle

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