Global Dynamics of a Stochastic Viral Infection Model with Latently Infected Cells

In this paper, we study the global dynamics of a stochastic viral infection model with humoral immunity and Holling type II response functions. The existence and uniqueness of non-negative global solutions are derived. Stationary ergodic distribution of positive solutions is investigated. The soluti...

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Autores principales:	Chinnathambi Rajivganthi, Fathalla A. Rihan
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	extinction latently infectious random noise stochastic stationary distribution Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/31026a488f494118972af45544eb5a79
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spelling	oai:doaj.org-article:31026a488f494118972af45544eb5a792021-11-11T15:25:24ZGlobal Dynamics of a Stochastic Viral Infection Model with Latently Infected Cells10.3390/app1121104842076-3417https://doaj.org/article/31026a488f494118972af45544eb5a792021-11-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/21/10484https://doaj.org/toc/2076-3417In this paper, we study the global dynamics of a stochastic viral infection model with humoral immunity and Holling type II response functions. The existence and uniqueness of non-negative global solutions are derived. Stationary ergodic distribution of positive solutions is investigated. The solution fluctuates around the equilibrium of the deterministic case, resulting in the disease persisting stochastically. The extinction conditions are also determined. To verify the accuracy of the results, numerical simulations were carried out using the Euler–Maruyama scheme. White noise’s intensity plays a key role in treating viral infectious diseases. The small intensity of white noises can maintain the existence of a stationary distribution, while the large intensity of white noises is beneficial to the extinction of the virus.Chinnathambi RajivganthiFathalla A. RihanMDPI AGarticleextinctionlatently infectiousrandom noisestochasticstationary distributionTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10484, p 10484 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	extinction latently infectious random noise stochastic stationary distribution Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
spellingShingle	extinction latently infectious random noise stochastic stationary distribution Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999 Chinnathambi Rajivganthi Fathalla A. Rihan Global Dynamics of a Stochastic Viral Infection Model with Latently Infected Cells
description	In this paper, we study the global dynamics of a stochastic viral infection model with humoral immunity and Holling type II response functions. The existence and uniqueness of non-negative global solutions are derived. Stationary ergodic distribution of positive solutions is investigated. The solution fluctuates around the equilibrium of the deterministic case, resulting in the disease persisting stochastically. The extinction conditions are also determined. To verify the accuracy of the results, numerical simulations were carried out using the Euler–Maruyama scheme. White noise’s intensity plays a key role in treating viral infectious diseases. The small intensity of white noises can maintain the existence of a stationary distribution, while the large intensity of white noises is beneficial to the extinction of the virus.
format	article
author	Chinnathambi Rajivganthi Fathalla A. Rihan
author_facet	Chinnathambi Rajivganthi Fathalla A. Rihan
author_sort	Chinnathambi Rajivganthi
title	Global Dynamics of a Stochastic Viral Infection Model with Latently Infected Cells
title_short	Global Dynamics of a Stochastic Viral Infection Model with Latently Infected Cells
title_full	Global Dynamics of a Stochastic Viral Infection Model with Latently Infected Cells
title_fullStr	Global Dynamics of a Stochastic Viral Infection Model with Latently Infected Cells
title_full_unstemmed	Global Dynamics of a Stochastic Viral Infection Model with Latently Infected Cells
title_sort	global dynamics of a stochastic viral infection model with latently infected cells
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/31026a488f494118972af45544eb5a79
work_keys_str_mv	AT chinnathambirajivganthi globaldynamicsofastochasticviralinfectionmodelwithlatentlyinfectedcells AT fathallaarihan globaldynamicsofastochasticviralinfectionmodelwithlatentlyinfectedcells
_version_	1718435298589802496

Global Dynamics of a Stochastic Viral Infection Model with Latently Infected Cells

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