GLOBAL STABILITY OF ENDEMIC EQUILIBRIUM POINT OF BASIC VIRUS INFECTION MODEL WITH APPLICATION TO HBV INFECTION  被引量:4

GLOBAL STABILITY OF ENDEMIC EQUILIBRIUM POINT OF BASIC VIRUS INFECTION MODEL WITH APPLICATION TO HBV INFECTION

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作  者:Yu ZHENG Lequan MIN Yu JI Yongmei SU Yang KUANG 

机构地区:[1]Information Engineering School, University of Science and Technology Beijing, Beijing 100083, China. [2]Mathematics and Physics School, University of Science and Technology Beijing, Beijing 100083, China. [3]Department of Mathematics and Statistics, Arizona State University, Temp AZ 85287-1804, USA.

出  处:《Journal of Systems Science & Complexity》2010年第6期1221-1230,共10页系统科学与复杂性学报(英文版)

基  金:This research is supported by the National Natural Science Foundations of China under Grant No. 60674059, the 11th 5-Year Plan Key Research Project of China under Grant No. 2004BA721A03, the China National Key Special Project for the Preventions and Cures of Important Infectious Diseases under Grant No. 2008ZX10005- 006.

摘  要:In this paper, the authors first show that if Ro ≤1, the infection free steady state is globally attractive by using approaches different from those given by Min, et a1.(2008). Then the authors prove that if Ro 〉 1, the endemic steady state is also globally attractive. Finally, based on a patient's clinical HBV DNA data of anti-HBV infection with drug lamivudine, the authors establish an ABVIM. The numerical simulations of the ABVIM axe good in agreement with the clinical data.

关 键 词:Basic infection reproduction number clinical data simulation equilibrium point global stability HBV infection. 

分 类 号:N[自然科学总论]

 

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