Phage and Bacteria in a Chemostat

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


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.


Infected Cell Hopf Bifurcation Negative Real Part Coexistence Equilibrium Transcritical Bifurcation 
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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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