Structured Model With Intervention Measures Of A HIV/AIDS Transmission

The frst section is introduction, in which we present research background, purposeand signifcance of Intervention measures. In this paper, we structured three models toefect the Intervention measures on the prevention of HIV/AIDS. The main contents inthis paper can be summarized as follows:In the frst, we developed a simple model of SIA and established a HIV/AIDS modelwith intervention measures. We use basic reproduction number to determine the sta-bility of the disease-free and endemic equilibrium, we also assess the global stability ofequilibrium point by Lyapunov function. Furthermore, we investigate the efect of theintervention measures on HIV/AIDS prevention.In the seconde section, we considered a delayed HIV/AIDS transmission model withintervention measures for high-risk susceptible. The basic reproduction number R0whichdetermines whether the disease goes to extinction or not is obtained. Throughout thepaper, we investigated the global stability of the disease-free equilibrium and the localstability of the endemic equilibrium, when the basic reproduction number R0is greaterthan1, it is proved that the disease is permanent in the population. Furthermore, we alsoinvestigated the efect of the intervention measures on the prevention of HIV/AIDS.In this paper, we considered a delayed HIV/AIDS model of sexual and drug relat-ed transmission. The conditions and thresholds for the existence of four equilibria areobtained, we investigated the disease-free equilibrium is globally stable when the basic re-production number are less than unity, the local stabilities for other equilibrium includingtwo boundary equilibrium and one positive equilibrium are studied, and show that whenthe basic reproduction number is great than1, it is proved that the disease is permanentin the population. The main contribution of this study is to explain the signifcance ofcontrolling the number of the IDUS and PECS can efective control the epidemic.