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《微分方程年刊(英文版)》 2014-01
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GLOBAL STABILITY FOR A TWO-STRAIN VIRUS INFECTION MODEL WITH INTRA-CELLULAR DELAY AND IMMUNE RESPONSE

Zhaohui Yuan;Peipei Shang;Lingling Liu;College of Math.and Econometrics,Hunan University;  
Considering the immune response and intracellular delay,we propose a two-strain virus model and investigate dynamics of this mathematical model.The global dynamics of the model are completely determined by introducing suitable Lyapunov functionals.We show that if the basic reproduction number is less than one,then both strains die out;but when the number is greater than one,at least one of the strains become endemic depending on the parameter values.The theoretical results provide some useful information on the dynamics of the two strains virus.
【Fund】: supported by Scientific Research Fund of Hunan Provincial Education Department(13K012);; National Natural Science Foundation of China(61102035)
【CateGory Index】: O175
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【Co-citations】
Chinese Journal Full-text Database 8 Hits
1 ZHANG Yu;REN Ze-zhu;SUN Li-hong;School of Basic Science,Harbin University of Commerce;School of Economics,Harbin University of Commerce;;Optimal control problems of HIV model with vertical transmission[J];Journal of Harbin University of Commerce(Natural Sciences Edition);2013-06
2 ZHANG Xiao,HUANG Dong-wei,GUO Yong-feng(School of Science,Tianjin Polytechnic University,Tianjin 300387,China);Analysis of a delayed viral infection model with an immune impairment term[J];Journal of Tianjin Polytechnic University;2013-04
3 SONG Qiang;CAI Ke-jin;College of Mathematics and Computer Science,Xinyang Vocational and Technical College;Zhengzhou Health School;;A Delayed Viral Infection Model with Two Immune Responses[J];Journal of Biomathematics;2013-02
4 LI Dong-mei;ZHANG Ying;NIU Ben;Applied Science College,Harbin University of Science Technology;;Stability Analysis of a Disscretized SIRS Epidemic Model with Time Delay[J];Journal of Biomathematics;2013-02
5 FANG Bin;WANG Zhu;LI Xue-zhi;Beijing Institute of Information and Control;Department of Mathematics,Xinyang Normal University;;Global Dynamics of an HIV-1 Infection Delayed Model with Saturation Incidence and CTL Immune Response[J];Mathematics in Practice and Theory;2014-02
6 WU Hui-juan;REN Lei;Department of Mathematics,Xinyang Normal University;Department of Mathematics,Xinyang Water Conservancy Technical School;;Modelling and analysis of a delayed predator-prey model with disease in the predator[J];Journal of Southwest University for Nationalities(Natural Science Edition);2013-05
7 WANG Lai-quan;Xamxinur Abdurahman;College of Mathematics and System Sciences,Xinjiang University;;A Delayed HIV/AIDS Transmission Model with Intervention Measures for High-risk Susceptible[J];Journal of Xinjiang University(Natural Science Edition);2013-03
8 Fang Bin;Wang Zhu;Li Xuezhi;Beijing Institute of Information and Control;College of Mathematics and Information Science,Xinyang Normal University;;Global Dynamics of an HIV Infection Model with Saturation Incidence and Distributed Delays[J];Journal of Xinyang Normal University(Natural Science Edition);2014-01
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