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Qualitative analysis of hepatitis B virus infection model with impulsive vaccination and time delay |
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| Authors: | Meihong Qiao Huan QiYingchun Chen |
| Institution: | a School of Mathematics and Physics, China University of Geoscience, Wuhan 430074, China b Department of Control Science & Engineering, Huazhong University of Science & Technology, Wuhan 430074, China c National Key Lab of Defence Science and Technology on Acoustic Countermeasure, Zhanjiang Branch, Zhanjiang 524022, China |
| Abstract: | According to the epidemic state, propagation mode and transformation between HBV infection states, the Hepatitis B Virus (HBV) infection with impulsive vaccination and time delay are modelled and analyzed. The control methods of impulsive vaccination and active therapy are adopted. By using comparative theorem of impulsive differential equation, the sufficient conditions that Hepatitis B Virus will be eliminated eventually or be persistent are derived. |
| Keywords: | impulsive vaccination time delay globally asymptotical stability persistence |
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