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Applied Mathematics

2014

Epidemi

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Structured Deterministic Models Applied To Malaria And Other Endemic Diseases, Katia Patricia Vogt Geisse Oct 2014

Structured Deterministic Models Applied To Malaria And Other Endemic Diseases, Katia Patricia Vogt Geisse

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This thesis includes modeling studies on three structured deterministic models. These models are used to study the disease dynamics of malaria or the joint disease dynamics of HIV and HSV-2. Each of the models includes multiple components containing individuals in various epidemiological classes for the purpose of addressing questions that are of interests to biologists and epidemiologists. Some of the compartments have a continuous age-structure, which is necessary for studying the specific biological questions under investigation.^ In Chapter 2 a chronological-age structured deterministic model for malaria is presented. The model includes the human and mosquito populations with the human population …