MODERN DEVELOPMENTS IN AIDS MODELING

Abstract

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 .