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A Chemostat Model of Bacteriophage-Bacteria Interaction with Infinite Distributed Delays


Abstract Bacteriophage (phage) are viruses that infect bacteria. Typical laboratory experiments show that in a chemostat containing phage and susceptible bacteria species, a mutant bacteria species will evolve. This mutant species is usually resistant to the phage infection and less competitive compared to the susceptible bacteria species. In some experiments, both susceptible and resistant bacteria species, as well as phage, can coexist at an equilibrium for hundreds of hours. The current research is inspired by these observations, and the goal is to establish a mathematical model and explore sufficient and necessary conditions for the coexistence. In this dissertation a model with infinite distributed delay terms based on some existing work is est... (more)
Created Date 2012
Contributor Han, Zhun (Author) / Smith, Hal (Advisor) / Armbruster, Dieter (Committee member) / Kawski, Matthias (Committee member) / Kuang, Yang (Committee member) / Thieme, Horst (Committee member) / Arizona State University (Publisher)
Subject Mathematics / Applied mathematics
Type Doctoral Dissertation
Extent 121 pages
Language English
Copyright
Reuse Permissions All Rights Reserved
Note Ph.D. Mathematics 2012
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS


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Description Dissertation/Thesis