Periodic solution of a stochastic HBV infection model with logistic hepatocyte growth

Falan Xie, Meijing Shan, Xinze Lian and Weiming Wang

Applied Mathematics and Computation, 2017, vol. 293, issue C, 630-641

Abstract: In this paper, we present a stochastic hepatitis B virus (HBV) infection model with logistic hepatocyte growth. We show that the stochastic differential equation (SDE) HBV model has at least one periodic solution induced by the white noise, and a unique stationary distribution which is stable. One of the most interesting findings is that random perturbations may be beneficial to format the periodic solution to the SDE HBV model.

Keywords: Hepatitis B virus; White noise; Periodic solution; Persistence in mean (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:293:y:2017:i:c:p:630-641

DOI: 10.1016/j.amc.2016.06.028

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