具有胞间传播和蛋白酶抑制剂的时滞HIV模型的动力学分析  

Dynamic behaviors analysis of delayed HIV model with cell-to-cell transmissions and protease inhibitors

作　　者：苗卉 夏米西努尔·阿布都热合曼[2] MIAO Hui;ABDURAHMAN Xamxinur(School of Applied Mathematics,Shanxi University of Finance and Economics,Taiyuan 030006,Shanxi,China;College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,Xinjiang,China)

机构地区：[1]山西财经大学应用数学学院,山西太原030006 [2]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《山东大学学报（理学版）》2024年第4期90-97,共8页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11901363,11771373,12271317);山西省高等学校科技创新项目(2021L279);山西省基础研究计划项目(202103021224291,202203021211334)。

摘　　要：考虑HIV的传播机制和抗病毒药物治疗,建立具有胞间传播f_(2)(G,J)和蛋白酶抑制剂的时滞HIV模型。证明平衡点E0和E1的全局渐近稳定性。理论分析表明,忽视胞间传播f_(2)(G,J)或胞外传播f_(1)(G,L)会导致对病毒感染基本再生数R0的低估,并通过数值模拟验证理论结果。In this paper,considering the transmission mechanism of HIV and antiviral drug therapy,a delayed HIV model with cell-to-cell transmission f_(2)(G,J)and a protease inhibitor therapy is investigated.The global stability of equilibria E_0 and E_1 is proven.Our analysis shows that neglecting cell-to-cell transmission f_(2)(G,J)or virus-to-cell infection f_(1)(G,L)can lead to an underestimation of the basic number of virus infections R_0,and the theoretical results were validated through numerical simulation.

关 键 词：HIV感染模型 胞间传播 蛋白酶抑制剂 LYAPUNOV泛函 全局稳定性 

分 类 号：O175[理学—数学]