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Stability Research on Several Kinds of Dynamic Hiv Models

Author: XiaoLei
Tutor: ZhangRuiMing
School: Guangxi Normal University
Course: Applied Mathematics
Keywords: Dynamics System Stability Maple Time Delay Equations Mutation
CLC: O175
Type: Master's thesis
Year: 2012
Downloads: 35
Quote: 0
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Abstract


AIDS dynamics is an important branch of study on infectious disease. Since it integrates many advanced ideas and techniques from other disciplines of sciences and technology, its progress may also apply to the studies, of other infectious diseases. In recent years the international efforts on the research for HIV models have been increased dramatically, many excellent dynamical models have proposed. Among them, there are outstanding models by Perelson and Nowak, these models using ordinary differential equations to describe HIV evolutions, and some of them even considered virus mutations and time delays. In this work we first survey these models, we will give the some of the solutions. Maple, with its powerful symbolic calculation capability and impressive computer graphics, has become of the most widely used software in applied mathematics. In this work we also feature the mathematical soft ware Maple, we will use Maple to do symbolic computations, calculate and plot approximate solutions to your dynamic systems. These graphics provide our reader with intuitions to our problems, they are indispensable to modern applied mathematics.This thesis is organized into three chapters. Chapter one presents a short introduction to Maple and some background knowledge forth is thesis; in chapter two we study a basic model and a basic model with time delay and drug treatment; in our final and last chapter, Chapter three, we study a model of many contributing factors, and finally we have carried on the subtotal to the paper and proposed several questions which were worth further studying.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations
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