Control Model of the HIV/AIDS Epidemic Based on Kinetic Equation

The corresponding dynamics equation model of HIV/AIDS was given based on the popular situation of HIV/AIDS in recent years. We studied the stability of the equilibrium point, discussed the threshold of epidemic, and carried on the numerical simulation based on the different persuade rate P, the different disease mortality α and the different infection rate β. The HIV/AIDS epidemic disease can pop in city at R0 > 1. We suggested that more persuade should be increased in addition to strengthening routine work according to the characteristics of R0 in the prevented and the controlled work of HIV/AIDS, which could more effectively reduce the number of HIV/AIDS patients. It provided the theoretical guidance, the beneficial reference on the prevented and the controlled work of HIV/AIDS.