Threshold behavior in two types of stochastic three strains influenza virus models

Qun Liu; Daqing Jiang; Tasawar Hayat; Ahmed Alsaedi; Bashir Ahmad

doi:10.1016/j.physa.2019.124082

Threshold behavior in two types of stochastic three strains influenza virus models

Qun Liu
, Daqing Jiang
, Tasawar Hayat
, Ahmed Alsaedi
, Bashir Ahmad

Northeast Normal University
China University of Petroleum (East China)
King Abdulaziz University
Quaid-I-Azam University

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

In this paper, we study two types of stochastic models consisting of three strains of influenza. For each type of the stochastic model, we establish sufficient conditions for extinction and persistence in the mean of these diseases by using the stochastic Lyapunov analysis method. Meanwhile, we obtain the threshold between persistence in the mean and extinction of the diseases.

Original language	English
Article number	124082
Journal	Physica A: Statistical Mechanics and its Applications
Volume	549
DOIs	https://doi.org/10.1016/j.physa.2019.124082
State	Published - 1 Jul 2020
Externally published	Yes

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Extinction
Influenza
Persistence
Three strains
Threshold

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10.1016/j.physa.2019.124082

Cite this

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title = "Threshold behavior in two types of stochastic three strains influenza virus models",

abstract = "In this paper, we study two types of stochastic models consisting of three strains of influenza. For each type of the stochastic model, we establish sufficient conditions for extinction and persistence in the mean of these diseases by using the stochastic Lyapunov analysis method. Meanwhile, we obtain the threshold between persistence in the mean and extinction of the diseases.",

keywords = "Extinction, Influenza, Persistence, Three strains, Threshold",

author = "Qun Liu and Daqing Jiang and Tasawar Hayat and Ahmed Alsaedi and Bashir Ahmad",

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year = "2020",

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T1 - Threshold behavior in two types of stochastic three strains influenza virus models

AU - Liu, Qun

AU - Jiang, Daqing

AU - Hayat, Tasawar

AU - Alsaedi, Ahmed

AU - Ahmad, Bashir

PY - 2020/7/1

Y1 - 2020/7/1

N2 - In this paper, we study two types of stochastic models consisting of three strains of influenza. For each type of the stochastic model, we establish sufficient conditions for extinction and persistence in the mean of these diseases by using the stochastic Lyapunov analysis method. Meanwhile, we obtain the threshold between persistence in the mean and extinction of the diseases.

AB - In this paper, we study two types of stochastic models consisting of three strains of influenza. For each type of the stochastic model, we establish sufficient conditions for extinction and persistence in the mean of these diseases by using the stochastic Lyapunov analysis method. Meanwhile, we obtain the threshold between persistence in the mean and extinction of the diseases.

KW - Extinction

KW - Influenza

KW - Persistence

KW - Three strains

KW - Threshold

UR - https://www.scopus.com/pages/publications/85077704155

U2 - 10.1016/j.physa.2019.124082

DO - 10.1016/j.physa.2019.124082

M3 - Article

AN - SCOPUS:85077704155

SN - 0378-4371

VL - 549

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

M1 - 124082

ER -

Threshold behavior in two types of stochastic three strains influenza virus models

Abstract

UN SDGs

Keywords

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