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Theses/Dissertations

2006

University of Central Florida

Mathematics

Epidemic model

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Epidemiological Models For Mutating Pathogens With Temporary Immunity, Neeta Singh Jan 2006

Epidemiological Models For Mutating Pathogens With Temporary Immunity, Neeta Singh

Electronic Theses and Dissertations

Significant progress has been made in understanding different scenarios for disease transmissions and behavior of epidemics in recent years. A considerable amount of work has been done in modeling the dynamics of diseases by systems of ordinary differential equations. But there are very few mathematical models that deal with the genetic mutations of a pathogen. In-fact, not much has been done to model the dynamics of mutations of pathogen explaining its effort to escape the host's immune defense system after it has infected the host. In this dissertation we develop an SIR model with variable infection age for the ...