HIV传播中的经济资源分配优化模型

Optimization Model of the Allocation of Economic Resources in HIV Transmission

近年艾滋病感染者和死亡人数大幅度上升，全球每年投入大量经费用于艾滋病的研究，但现有资源与预测需要仍有很大差距．文章通过建立HIV随时间传播的微分方程及经济资源分配的优化模型，建立了HIV传播的差分方程，并根据以上模型，可预测经济资源优化分配后的HIV感染率，实现对现有经济资源的高效率的利用．

In recent years, there is a large sum of money devoted to the study of AIDS worldwide yearly with the dramatic increase in HIV infection rate and deaths due to the disease, yet there still exits a big gap between the existing resources and the anticipated demand. In this paper, through the establishment of differential equation for the transmission of HIV with time, of the optimization model of the allocation of economic resources, and of the difference equation for HIV transmission, the HIV infection rate after the optimization of economic resources becomes predictable, achieving the high-efficient utilization of the existing economic resources.