信阳师范学院学报（自然科学版）2005，Vol.18Issue(3)：262-267,6.
具有饱和丢失感染细胞的病毒模型的全局动力学性质
Global dynamics of viral model with saturated loss of infected cellls
摘要
Abstract
It is well-known that the mathematical models provise very important information for theresearch of human immunodeficiency uirus-type 1 and hepatitis C virus (HCV).The infected T cells can remain latent and harbor virus for several years before virus productin occurs.In this period ,the loss of infected T cell is not simple linear interaction .In this paper ,we consider the classcal mathematical model with saturated loss of infected cellls.Our analysis establishes that the global dynamics of T cells are completely determined by a basic reproduction number R0.If R0≤1,infected T cells always die out.If R0>1,the infection becomes chronic,and a unique endemic equilibrium is globally stable in the interior of the feasible region.We also consider the drug effectiveness under saturated loss of infected cells.关键词
免疫模型/基本再生数/全局稳定性Key words
immunological models/basic reproduction number/global stability分类
数理科学引用本文复制引用
宋新宇,查新月..具有饱和丢失感染细胞的病毒模型的全局动力学性质[J].信阳师范学院学报（自然科学版）,2005,18(3):262-267,6.基金项目
supported by the National Natural Science Foundation of China(10471117) （10471117）
the Henan Innovation Project for University Prominent Research Talents(2005KYCX017)and the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry. （2005KYCX017）
