A hepatitis stochastic epidemic model with acute and chronic stages

A hepatitis stochastic epidemic model with acute and chronic stages

Abstract The article is based on the study of hepatitis transmission dynamics using a stochastic epidemic model. We discuss the stochastic perturbations of our proposed model by considering the effect of environmental fluctuation and distribute the transmission rate in the form of white noise. Takin...

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Main Authors: Amir Khan, Ghulam Hussain, Abdullahi Yusuf, Auwalu Hamisu Usman, Usa Wannasingha Humphries
Format: Article
Language:English
Published: SpringerOpen 2021-03-01
Series:Advances in Difference Equations
Subjects:
Stochastic model
Existence and uniqueness
Extinction and persistence of the model
Numerical simulation
Online Access:https://doi.org/10.1186/s13662-021-03335-7
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spelling doaj-7c08db44fd2647c386c6a8bee9a037692021-03-28T11:39:57ZengSpringerOpenAdvances in Difference Equations1687-18472021-03-012021111010.1186/s13662-021-03335-7A hepatitis stochastic epidemic model with acute and chronic stagesAmir Khan0Ghulam Hussain1Abdullahi Yusuf2Auwalu Hamisu Usman3Usa Wannasingha Humphries4Department of Mathematics and Statistics, University of SwatDepartment of Mathematics, University of MalakandDepartment of Computer Engineering, Biruni UniversityDepartment of Mathematics, Faculty of Science, King Mongkutas University of Technology Thonburi (KMUTT)Department of Mathematics, Faculty of Science, King Mongkutas University of Technology Thonburi (KMUTT)Abstract The article is based on the study of hepatitis transmission dynamics using a stochastic epidemic model. We discuss the stochastic perturbations of our proposed model by considering the effect of environmental fluctuation and distribute the transmission rate in the form of white noise. Taking into account the Lyapunov function theory, the uniqueness and existence of the global positive solution are proven. Some sufficient conditions for the extinction and persistence in the mean are established. The numerical simulations are given to verify the main theoretical findings.https://doi.org/10.1186/s13662-021-03335-7Stochastic modelExistence and uniquenessExtinction and persistence of the modelNumerical simulation
collection DOAJ
language English
format Article
sources DOAJ
author Amir Khan
Ghulam Hussain
Abdullahi Yusuf
Auwalu Hamisu Usman
Usa Wannasingha Humphries
spellingShingle Amir Khan
Ghulam Hussain
Abdullahi Yusuf
Auwalu Hamisu Usman
Usa Wannasingha Humphries
A hepatitis stochastic epidemic model with acute and chronic stages
Advances in Difference Equations
Stochastic model
Existence and uniqueness
Extinction and persistence of the model
Numerical simulation
author_facet Amir Khan
Ghulam Hussain
Abdullahi Yusuf
Auwalu Hamisu Usman
Usa Wannasingha Humphries
author_sort Amir Khan
title A hepatitis stochastic epidemic model with acute and chronic stages
title_short A hepatitis stochastic epidemic model with acute and chronic stages
title_full A hepatitis stochastic epidemic model with acute and chronic stages
title_fullStr A hepatitis stochastic epidemic model with acute and chronic stages
title_full_unstemmed A hepatitis stochastic epidemic model with acute and chronic stages
title_sort hepatitis stochastic epidemic model with acute and chronic stages
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2021-03-01
description Abstract The article is based on the study of hepatitis transmission dynamics using a stochastic epidemic model. We discuss the stochastic perturbations of our proposed model by considering the effect of environmental fluctuation and distribute the transmission rate in the form of white noise. Taking into account the Lyapunov function theory, the uniqueness and existence of the global positive solution are proven. Some sufficient conditions for the extinction and persistence in the mean are established. The numerical simulations are given to verify the main theoretical findings.
topic Stochastic model
Existence and uniqueness
Extinction and persistence of the model
Numerical simulation
url https://doi.org/10.1186/s13662-021-03335-7
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