A model of hepatitis B virus with random interference infection rate

According to the mechanism of drug inhibition of hepatitis B virus and the analysis of clinical data, it is found that random factors in long-term treatment produced uncertainty and resistance to hepatitis B virus infection rate, a model of hepatitis B virus with random interference infection rate i...

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Autores principales:	Dong-Me Li, Bing Chai, Qi Wang
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	drug resistance stochastic virus dynamics model asymptotic behavior the numerical simulation Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/57dff657a3fc4cddbfdd4985b3bc7a91
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id	oai:doaj.org-article:57dff657a3fc4cddbfdd4985b3bc7a91
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spelling	oai:doaj.org-article:57dff657a3fc4cddbfdd4985b3bc7a912021-11-24T01:12:10ZA model of hepatitis B virus with random interference infection rate10.3934/mbe.20214101551-0018https://doaj.org/article/57dff657a3fc4cddbfdd4985b3bc7a912021-09-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021410?viewType=HTMLhttps://doaj.org/toc/1551-0018According to the mechanism of drug inhibition of hepatitis B virus and the analysis of clinical data, it is found that random factors in long-term treatment produced uncertainty and resistance to hepatitis B virus infection rate, a model of hepatitis B virus with random interference infection rate is established. By constructing Lyapunov function and using Ito's formula, it is proved that the stochastic hepatitis B model has a unique global positive solution. The sufficient conditions for the asymptotic behavior of solution are given. The relationship between noise intensity and oscillation amplitude is obtained. The effects of noise intensity on the asymptotic behavior of the model and antiviral therapy are simulated, and the conclusion of the theorem is verified. An interesting phenomenon is also found that with the increase of noise intensity, the number of drug-resistant viruses will decrease, which will affect the accuracy of a single test of HBV DNA. Therefore, it is suggested to increase the frequency and interval of tests.Dong-Me LiBing Chai Qi WangAIMS Pressarticledrug resistancestochastic virus dynamics modelasymptotic behaviorthe numerical simulationBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 8257-8297 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	drug resistance stochastic virus dynamics model asymptotic behavior the numerical simulation Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	drug resistance stochastic virus dynamics model asymptotic behavior the numerical simulation Biotechnology TP248.13-248.65 Mathematics QA1-939 Dong-Me Li Bing Chai Qi Wang A model of hepatitis B virus with random interference infection rate
description	According to the mechanism of drug inhibition of hepatitis B virus and the analysis of clinical data, it is found that random factors in long-term treatment produced uncertainty and resistance to hepatitis B virus infection rate, a model of hepatitis B virus with random interference infection rate is established. By constructing Lyapunov function and using Ito's formula, it is proved that the stochastic hepatitis B model has a unique global positive solution. The sufficient conditions for the asymptotic behavior of solution are given. The relationship between noise intensity and oscillation amplitude is obtained. The effects of noise intensity on the asymptotic behavior of the model and antiviral therapy are simulated, and the conclusion of the theorem is verified. An interesting phenomenon is also found that with the increase of noise intensity, the number of drug-resistant viruses will decrease, which will affect the accuracy of a single test of HBV DNA. Therefore, it is suggested to increase the frequency and interval of tests.
format	article
author	Dong-Me Li Bing Chai Qi Wang
author_facet	Dong-Me Li Bing Chai Qi Wang
author_sort	Dong-Me Li
title	A model of hepatitis B virus with random interference infection rate
title_short	A model of hepatitis B virus with random interference infection rate
title_full	A model of hepatitis B virus with random interference infection rate
title_fullStr	A model of hepatitis B virus with random interference infection rate
title_full_unstemmed	A model of hepatitis B virus with random interference infection rate
title_sort	model of hepatitis b virus with random interference infection rate
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/57dff657a3fc4cddbfdd4985b3bc7a91
work_keys_str_mv	AT dongmeli amodelofhepatitisbviruswithrandominterferenceinfectionrate AT bingchai amodelofhepatitisbviruswithrandominterferenceinfectionrate AT qiwang amodelofhepatitisbviruswithrandominterferenceinfectionrate AT dongmeli modelofhepatitisbviruswithrandominterferenceinfectionrate AT bingchai modelofhepatitisbviruswithrandominterferenceinfectionrate AT qiwang modelofhepatitisbviruswithrandominterferenceinfectionrate
_version_	1718416034110636032

A model of hepatitis B virus with random interference infection rate

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