Math

Introduction

Infectious diseases are extremely harmful to a country’s economic development and its people’s normal life. In the past 20 years, as AIDS, SARS and mad cow disease broke out and spread in the world, some other infections diseases also scatter again, such as tuberculosis, diphtheria and plague. AIDS is one of the most troublesome diseases to every country’s government. There are more than 200 countries and area in the world threaten by AIDS, Australia is one within AIDS is a infectious disease which has a hugely detrimental impact on human healthy, the HIV (human immunodeficiency virus) destroy human body’s immune system lead to human body loss their resistance, and thus human body could not resist any of life-threatening disease (Smith et.al, 2009). As a result, the body has a variety of incurable disease, serious infectious diseases, and finally lead to death. The AIDS, mainly contagious through unsafe blood translation, take drugs, unsafe sex and mother-to-child transmission. According to UWAIDS and WHO, there are more than 53,100,000 people have been infected around the world and almost 18,800,000 of them have died. The epidemic of AIDS, has brought huge losses to social economy and bring disaster to personal and family.

Since the first recorded case of AIDS was founded in Australia in 1982, AIDS spread rapidly. As at December 2005, there had been 22,361 diagnoses HIV infections and 6,668 deaths following AIDS in Australia. Without efficiency and effective measurement, there could be 50,000 people infected in the future 10 years (Wikipedia).

With scientific approach, establish the mathematical model, to study the infections diseases, not only could help us make a more accurate prediction about the trend of the spread of AIDS, but also could make contribution to control and prevent AIDS’ spread (Hyman & Stanley, 1988).

Mathematical Model analysis

Models to predict the role of testing and counseling must include the effects of variable...