Global dynamics for a live-virus-blood model with distributed time delay

作     者：Ding-Yu Zou Shi-Fei Wang Xue-Zhi Li 

作者机构：Department of Physics and Mathematics Changzhou University Changzhou 213016 P. R. China College of Mathematics and Physics Anyang Institute of Technology Anyang 455000 P. R. China 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2017年第10卷第5期

页      面：143-158页

核心收录：

学科分类：0710[理学-生物学] 07[理学] 08[工学] 09[农学] 070104[理学-应用数学] 071007[理学-遗传学] 0901[农学-作物学] 0836[工学-生物工程] 090102[农学-作物遗传育种] 0701[理学-数学] 

基　　金：Plan for Scientific Innovation Talent of Henan Province, (144200510021) National Natural Science Foundation of China, NSFC, (11271314, 11501056) 

主　　题：Hepatitis C virus distributed time delays live-virus-blood system global asymptotic stability Lyapunov functional. 

摘      要：In this paper, the global properties of a mathematical modeling of hepatitis C virus （HCV） with distributed time delays is studied. Lyapunov functionals are constructed to establish the global asymptotic stability of the uninfected and infected steady states. It is shown that if the basic reproduction number R0 is less than unity, then the uninfected steady state is globally asymptotically stable. If the basic reproduction number R0 is larger than unity, then the infected steady state is globally asymptotically stable.