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Phage and Bacteria in a Chemostat

  • Hal Smith
Chapter
Part of the Texts in Applied Mathematics book series (TAM, volume 57)

Abstarct

A mathematical model of bacteriophage predation on bacteria in a chemostat, introduced in Chapter. 1, is studied in detail. The delay arises due to the assumption of a fixed latent period for virus inside the infected cell. The main biological issues addressed are the persistence and extinction of bacteria and of bacteriophage(phage). From a mathematical perspective, we focus on bifurcation of equilibria and Hopf bifurcation from the coexistence equilibrium.

Keywords

Infected Cell Hopf Bifurcation Negative Real Part Coexistence Equilibrium Transcritical Bifurcation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer New York 2011

Authors and Affiliations

  1. 1.School of Mathematical and Statistical SciencesArizona State UniversityTempeUSA

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