一类人体免疫缺损病毒传播的人群生态动力学模型的渐近解

摘要

研究了人体免疫缺损病毒传播的动力学模型,描述了流行性传染病区域的人群传播规律,利用摄动方法对艾滋病的传播动力学非线性方程作出了渐近解,并讨论了它的一致有效性.最后对动力学模型的解作了定量、定性方面的讨论.%In this paper, a class of dynamic model for the HIV transmission is considered. Transmissive mode of the human groups in epidemic contagion region is described. Using the perturbation method, the asymptotic solution of the transmissive dynamic nonlinear equation of the AIDS is obtained. Finally, the quantity and quality of the solution for dynamic model is studied.