QUALITATIVE ANALYSIS OF HEPATITIS B VIRUS INFECTION MODEL WITH IMPULSIVE VACCINATION AND TIME DELAY

doi:10.1016/S0252-9602(11)60294-4

Abstract

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.

Key words: impulsive vaccination, time delay, globally asymptotical stability, persistence

CLC Number:

37C75

QIAO Mei-Hong, QI Huan, CHEN Ying-Chun. QUALITATIVE ANALYSIS OF HEPATITIS B VIRUS INFECTION MODEL WITH IMPULSIVE VACCINATION AND TIME DELAY[J].Acta mathematica scientia,Series B, 2011, 31(3): 1020-1034.

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