Modeling, analysis, and simulation of complex disease dynamics for HIV, Ebola, and Zika virus
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The contributions made by mathematical approaches to biological problems has become widely recognized in recent decades. The focus of this thesis is to develop and analyze novel mathematical models for various aspects of three infectious diseases: Human Immunodeficiency Virus (HIV), Ebola virus disease (EVD) and Zika virus. HIV is examined at the in-host level by two models capturing two stages of the disease process within the blood. The first HIV model considered here incorporates the effects of latent infection and mutation of the virus. This research is meant to provide applicable information ...