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Dynamical behavior of a stochastic HBV infection model with logistic hepatocyte growth
Journal article   Peer reviewed

Dynamical behavior of a stochastic HBV infection model with logistic hepatocyte growth

Qun Liu, Daqing Jiang, Ningzhong Shi, Tasawar Hayat and Ahmed Alsaedi
Acta mathematica scientia, Vol.37(4), pp.927-940
01/07/2017
DOI: https://doi.org/10.1016/S0252-9602(17)30048-6

Abstract

60H10 92B05 92D30 extinction Lyapunov function stationary distribution stochastic HBV infection model
This paper is concerned with a stochastic HBV infection model with logistic growth. First, by constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of ergodic stationary distribution of the solution to the HBV infection model. Then we obtain sufficient conditions for extinction of the disease. The stationary distribution shows that the disease can become persistent in vivo.

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