Economic strategies in the issue of controlling AIDS

HIV/ADIS will be one of the greatest challenges in public health in this century. As the burst increased rate of AIDS patients, governments and organizations are investing unprecedented resources in AIDS prevention and therapy. The following contents constitute the work that we done in this paper, and they can meet the requirement of all the tasks. To begin with, we define an index named risk index (Rl) to quantify the risk degree of each country that is threatened by HIV. Then we select six countries that have the largest Rl in the continent where they are located. The countries we select are South Africa, India, France, USA, Australia and Brazil. After we select the countries, we use a revised SIR model to estimate the rate of change of the number of HIV infections in the six countries and realize it on Matlab. Then we design a method to predict the expected global investment on HIV/AIDS from 2006 to 2050 for the six countries from foreign aid donors from 2006 to 2050. Besides, we define an index named safety index (SI) and use the method of linear programming to estimate the optimized amount of money allocated on drugs and vaccine on Lindo when the SI is the largest. After that, we re-estimate the rate of change of the number of HIV infections in the six countries under the three scenarios using three revised SIR models separately. In the end, we write a white paper of recommendations to the United Nations according to our analysis of the issue. Keywords-AIDS, SIR model, linear programming.