Browsing by Author "MUNTASIR SUHAIL DERAR"

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    MODERN DEVELOPMENTS IN AIDS MODELING
    (Al-Neelain University, 2010) MUNTASIR SUHAIL DERAR
    Abstract This study presents an attempt to the study mathematical modeling of epidemics and modern developments in AIDS modeling . In this study I present only the construction and analysis of the models. The study consists of an introduction and four chapters. The introduction discusses the mathematical modeling of AIDS progression , An introduction to the mathematics of HIV/AIDS modeling , The deterministic model of the AIDS epidemic and periodicity of the HIV/AIDS epidemic in a mathematical model that incorporates complacency. Chapter 1 studies Mathematical Modeling of AIDS Progression , abrief History of Mathematical Modeling of Infectious Disease , Limitations of HIV Models ,Importance of theTh1/Th2 Balance in immune Function , analternate Model , Mathematical Modeling's of Epidemics and Modeling of an epidemic in a closed population. Chapter 2 studies an introduction to the mathematics of HIV/AIDS modeling, Epidemiological terminology, Modeling terminology and types of models , A basic model of an HIV/AIDS epidemic, Improving the modeling of HIV transmission and Improving the modeling of HIV survival. Chapter 3 studies The Deterministic Model of the AIDS Epidemic, solution by : (i) differential equation. (ii) Stability solution. Chapter 4 studies Periodicity of the HIV/AIDS Epidemic in a mathematical Model that Incorporates Complacency, model parameters and assumptions, Derivation of equations the model , Model equations, Analysis of the model and Variability of oscillations with removal rate of AIDS , And Conclusion at the end .