Analysis of a stochastic HBV infection model with delayed immune response

Fathalla A. Rihan; Hebatallah J. Alsakaji; Fathalla A. Rihan; Hebatallah J. Alsakaji

doi:10.3934/mbe.2021264

Mathematical Biosciences and Engineering

2021, Volume 18, Issue 5: 5194-5220. doi: 10.3934/mbe.2021264

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Analysis of a stochastic HBV infection model with delayed immune response

Fathalla A. Rihan ,
Hebatallah J. Alsakaji ^,

Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al-Ain 15551, UAE

Academic Editor: Xinfeng Liu

Received: 06 April 2021 Accepted: 07 June 2021 Published: 10 June 2021

Considering the environmental factors and uncertainties, we propose, in this paper, a higher-order stochastically perturbed delay differential model for the dynamics of hepatitis B virus (HBV) infection with immune system. Existence and uniqueness of an ergodic stationary distribution of positive solution to the system are investigated, where the solution fluctuates around the endemic equilibrium of the deterministic model and leads to the stochastic persistence of the disease. Under some conditions, infection-free can be obtained in which the disease dies out exponentially with probability one. Some numerical simulations, by using Milstein's scheme, are carried out to show the effectiveness of the obtained results. The intensity of white noise plays an important role in the treatment of infectious diseases.

Keywords:

Citation: Fathalla A. Rihan, Hebatallah J. Alsakaji. Analysis of a stochastic HBV infection model with delayed immune response[J]. Mathematical Biosciences and Engineering, 2021, 18(5): 5194-5220. doi: 10.3934/mbe.2021264

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Abstract

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