摘要
将治愈率引入经典的HIV病理模型,构建一个改进的HIV病理模型.证明了改进模型中无病平衡点的全局稳定性,给出染病平衡点全局稳定性的参数域,并进行了相关的数值模拟,进而发现当染病平衡点不稳定时模型存在周期解.研究结果表明:提高治愈率是有效控制HIV感染的重要途径.
This paper constructs an improved HIV pathogenesis model by introducing cure rate into the clas- sical HIV pathogenesis model. It proves the global stability of the uninfected equilibrium, and obtains the parameter region where the infected steady state is globally stable. Moreover, the corresponding numerical simulations are carded out, which further shows that there exist periodic solutions in the model when infected steady state is unstable. The results of investigation indicate that improving the cure rate is an important way to control HIV infection efficiently.
出处
《系统工程学报》
CSCD
北大核心
2012年第4期460-466,共7页
Journal of Systems Engineering
基金
国家社科基金重大资助项目(10ZD&029)
国家自然科学基金资助项目(71173012)
北京科技大学博士研究生科研基金资助项目(06106061)
