Analysis of a stochastic HBV infection model with delayed immune response

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 so...

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Autores principales:	Fathalla A. Rihan, Hebatallah J. Alsakaji
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	hbv lyapunov functional milstein's scheme non-linear perturbations stationary distribution and ergodicity time-delays Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/43984a6c5a124e859780546ed0a6692e
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spelling	oai:doaj.org-article:43984a6c5a124e859780546ed0a6692e2021-11-09T01:56:45ZAnalysis of a stochastic HBV infection model with delayed immune response10.3934/mbe.20212641551-0018https://doaj.org/article/43984a6c5a124e859780546ed0a6692e2021-06-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021264?viewType=HTMLhttps://doaj.org/toc/1551-0018Considering 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.Fathalla A. RihanHebatallah J. AlsakajiAIMS Pressarticlehbvlyapunov functionalmilstein's schemenon-linear perturbationsstationary distribution and ergodicitytime-delaysBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 5194-5220 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	hbv lyapunov functional milstein's scheme non-linear perturbations stationary distribution and ergodicity time-delays Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	hbv lyapunov functional milstein's scheme non-linear perturbations stationary distribution and ergodicity time-delays Biotechnology TP248.13-248.65 Mathematics QA1-939 Fathalla A. Rihan Hebatallah J. Alsakaji Analysis of a stochastic HBV infection model with delayed immune response
description	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.
format	article
author	Fathalla A. Rihan Hebatallah J. Alsakaji
author_facet	Fathalla A. Rihan Hebatallah J. Alsakaji
author_sort	Fathalla A. Rihan
title	Analysis of a stochastic HBV infection model with delayed immune response
title_short	Analysis of a stochastic HBV infection model with delayed immune response
title_full	Analysis of a stochastic HBV infection model with delayed immune response
title_fullStr	Analysis of a stochastic HBV infection model with delayed immune response
title_full_unstemmed	Analysis of a stochastic HBV infection model with delayed immune response
title_sort	analysis of a stochastic hbv infection model with delayed immune response
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/43984a6c5a124e859780546ed0a6692e
work_keys_str_mv	AT fathallaarihan analysisofastochastichbvinfectionmodelwithdelayedimmuneresponse AT hebatallahjalsakaji analysisofastochastichbvinfectionmodelwithdelayedimmuneresponse
_version_	1718441379994009600

Analysis of a stochastic HBV infection model with delayed immune response

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