Dynamics of a stochastic SIS model with double epidemic diseases driven by Lévy jumps

Xinhong Zhang; Daqing Jiang; Tasawar Hayat; Bashir Ahmad

doi:10.1016/j.physa.2016.12.074

Dynamics of a stochastic SIS model with double epidemic diseases driven by Lévy jumps

Xinhong Zhang
, Daqing Jiang
, Tasawar Hayat
, Bashir Ahmad

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

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

84 Scopus citations

Abstract

This paper is to investigate the dynamics of a stochastic SIS epidemic model with saturated incidence rate and double epidemic diseases which make the research more complex. The environment variability in this study is characterized by white noise and jump noise. Sufficient conditions for the extinction and persistence in the mean of two epidemic diseases are obtained. It is shown that the two diseases can coexist under appropriate conditions. Finally, numerical simulations are introduced to illustrate the results developed.

Original language	English
Pages (from-to)	767-777
Number of pages	11
Journal	Physica A: Statistical Mechanics and its Applications
Volume	471
DOIs	https://doi.org/10.1016/j.physa.2016.12.074
State	Published - 1 Apr 2017
Externally published	Yes

UN SDGs

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

SDG 3 Good Health and Well-being

Keywords

Coexistence
Double epidemic diseases
Lévy jumps
Persistence in the mean
Stochastic SIS epidemic model

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10.1016/j.physa.2016.12.074

Cite this

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title = "Dynamics of a stochastic SIS model with double epidemic diseases driven by L{\'e}vy jumps",

abstract = "This paper is to investigate the dynamics of a stochastic SIS epidemic model with saturated incidence rate and double epidemic diseases which make the research more complex. The environment variability in this study is characterized by white noise and jump noise. Sufficient conditions for the extinction and persistence in the mean of two epidemic diseases are obtained. It is shown that the two diseases can coexist under appropriate conditions. Finally, numerical simulations are introduced to illustrate the results developed.",

keywords = "Coexistence, Double epidemic diseases, L{\'e}vy jumps, Persistence in the mean, Stochastic SIS epidemic model",

author = "Xinhong Zhang and Daqing Jiang and Tasawar Hayat and Bashir Ahmad",

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T1 - Dynamics of a stochastic SIS model with double epidemic diseases driven by Lévy jumps

AU - Zhang, Xinhong

AU - Jiang, Daqing

AU - Hayat, Tasawar

AU - Ahmad, Bashir

PY - 2017/4/1

Y1 - 2017/4/1

N2 - This paper is to investigate the dynamics of a stochastic SIS epidemic model with saturated incidence rate and double epidemic diseases which make the research more complex. The environment variability in this study is characterized by white noise and jump noise. Sufficient conditions for the extinction and persistence in the mean of two epidemic diseases are obtained. It is shown that the two diseases can coexist under appropriate conditions. Finally, numerical simulations are introduced to illustrate the results developed.

AB - This paper is to investigate the dynamics of a stochastic SIS epidemic model with saturated incidence rate and double epidemic diseases which make the research more complex. The environment variability in this study is characterized by white noise and jump noise. Sufficient conditions for the extinction and persistence in the mean of two epidemic diseases are obtained. It is shown that the two diseases can coexist under appropriate conditions. Finally, numerical simulations are introduced to illustrate the results developed.

KW - Coexistence

KW - Double epidemic diseases

KW - Lévy jumps

KW - Persistence in the mean

KW - Stochastic SIS epidemic model

UR - https://www.scopus.com/pages/publications/85008450522

U2 - 10.1016/j.physa.2016.12.074

DO - 10.1016/j.physa.2016.12.074

M3 - Article

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JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

ER -

Dynamics of a stochastic SIS model with double epidemic diseases driven by Lévy jumps

Abstract

UN SDGs

Keywords

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