考虑DAAs治疗的丙肝病毒RNA模型的全局稳定性分析  

Global Stability Analysis of an HCV RNA Model Considering DAAs Treatment

作　　者：贾璐 张国洪[1] JIA Lu;ZHANG Guo-hong(School of Mathematics and Statistics,Southwest University,Chongqing 400715,Chi)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南大学学报（自然科学版）》2021年第5期83-87,共5页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11701472,11871403).

摘　　要：本文研究了一个考虑DAAs治疗的丙肝病毒RNA动力学模型.通过理论分析和数值模拟发现模型的全局动力学性态主要取决于基本再生数R_(0),即当R_(0)<1时,边界平衡点全局渐近稳定,病毒灭绝;当R_(0)>1时,正平衡点全局渐近稳定,病毒持续生存.由R_(0)的表达式知DAAs治疗在一定条件下可以作为抑制丙肝病毒复制的有效手段.In this paper,we study an HCV RNA dynamical model considering DAAs treatment.The results of theoretic analysis and numerical simulation show that the global dynamical stability of the model is basically dependent on the basic reproduction number R_(0).If R_(0)<1,the uninfected steady state is globally asymptotically stable and the virus dies out;if R_(0)>1,the infected steady state is globally asymptotically stable and the virus persists.By the definition of R_(0),it can be found that DAAs treatment can be used as an effective means to inhibit HCV virus replication under certain conditions.

关 键 词：丙肝病毒RNA DAAs治疗 数值模拟 全局稳定性 

分 类 号：O175[理学—数学]