摘要
考虑了一类对高危人群实施干预措施的HIV/AIDS传播模型,给出了无病平衡点的全局稳定和地方病平衡点的局部稳定的条件。进一步研究了疾病的持久性,当R0>1时,疾病将在人群中持久。同时,还研究了干预措施在HIV/AIDS预防中的效果。
In this paper, we considered a delayed HIV/AIDS transmission model with intervention measures for high- risk susceptible. The basic reproduction number R0 which determines whether the disease goes to extinction or not is obtained. Throughout the paper, we investigated the global stability of the disease-free equilibrium and the local stability of the endemic equilibrium, when the basic reproduction number R0 is greater than 1, it is proved that the disease is permanent in the population. Furthermore, we investigated the effect of the intervention measures on the prevention of HIV/AIDS.
出处
《新疆大学学报（自然科学版）》
CAS
2013年第3期282-288,共7页
Journal of Xinjiang University(Natural Science Edition)
基金
Supported by the National Natural Science Foundation of P.R.China(11261056)
关键词
干预措施
基本再生数
渐进稳定
Intervention measures
Basic reproduction number
Asymptotically stable
