构建一类具有VCT(voluntary counseling and testing)意识及媒体报道影响的HIV/AIDS感染动力学模型。首先得到模型解的适定性，并给出模型的基本再生数。其次，借助Hurwitz判别法及Lyapunov函数分析模型的阈值动力学，当R0＜1时无病平衡点局部渐近稳定且当R0≤1时全局渐近稳定;当R0＞1时，地方病平衡点局部渐近稳定。进一步，结合持续生存理论给出疾病的一致持续性。最后，数值模拟表明随着VCT意识比例的提高，艾滋病患者人数的峰值逐渐降低，而随着信息失效率的增大，艾滋病患者人数的峰值将有所提高。
A dynamic model of HIV/AIDS infection with VCT awareness and media coverage
This paper constructs a dynamic model of HIV/AIDS infection with VCT awareness and media coverage.Firstly,we obtain the well-posedness and the basic regeneration number of the model.Secondly,according to the Hurwitz dis-crimination and Lyapunov function,the threshold dynamics of the model were analyzed.When R0＜1,the disease-free equilib-rium is locally asymptotically stable,and when R0 ≤ 1,it is globally asymptotically stable.When R0＞1,the endemic equilibri-um is locally asymptotically stable.Furthermore,the uniformly persistence of the disease is given according to continuous sur-vival theory.Finally,the numerical simulation shows that with the increase of VCT awareness ratio,the peak number of AIDS patients will gradually decrease,and with the increase of information failure rate,the peak number of AIDS patients will be in-creased.
HIV dynamic modelVCT awarenessmedia coveragestability
万方数据
维普
