A stochastic SIRS modeling of transport-related infection with three types of noises

Abdulwasea Alkhazzan; Jungang Wang; Yufeng Nie; Hasib Khan; Jehad Alzabut

doi:10.1016/j.aej.2023.06.049

A stochastic SIRS modeling of transport-related infection with three types of noises

Abdulwasea Alkhazzan, Jungang Wang, Yufeng Nie, Hasib Khan, Jehad Alzabut

School of Mathematics and Statistics

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

29 Scopus citations

Abstract

People's ability to easily travel across cities is thought to play a major role in the spread of infectious diseases. This research develops and analyzes a new Susceptible-Infected-Recovered-Susceptible (SIRS) model that accounts for transport-related infection, media coverage, and three types of noise (white, telegraph, and Lévy) to examine the role of transport in disease transmission. Thus, several theoretical and numerical uses of the revised model are investigated. Using Lyapunov functions, we check whether or not the model has a positive global solution. The infection either dies out or stays put beyond that point. The researched analytical results are validated by developing and using a numerical scheme to analyze and simulate the effects of various factors on the model's dynamics.

Original language	English
Pages (from-to)	557-572
Number of pages	16
Journal	Alexandria Engineering Journal
Volume	76
DOIs	https://doi.org/10.1016/j.aej.2023.06.049
State	Published - 1 Aug 2023

Keywords

Extinction
Lévy noise
Markov chain process
Persistence
Stochastic SIRS epidemic model

UN SDGs

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

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10.1016/j.aej.2023.06.049

Cite this

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title = "A stochastic SIRS modeling of transport-related infection with three types of noises",

abstract = "People's ability to easily travel across cities is thought to play a major role in the spread of infectious diseases. This research develops and analyzes a new Susceptible-Infected-Recovered-Susceptible (SIRS) model that accounts for transport-related infection, media coverage, and three types of noise (white, telegraph, and L{\'e}vy) to examine the role of transport in disease transmission. Thus, several theoretical and numerical uses of the revised model are investigated. Using Lyapunov functions, we check whether or not the model has a positive global solution. The infection either dies out or stays put beyond that point. The researched analytical results are validated by developing and using a numerical scheme to analyze and simulate the effects of various factors on the model's dynamics.",

keywords = "Extinction, L{\'e}vy noise, Markov chain process, Persistence, Stochastic SIRS epidemic model",

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T1 - A stochastic SIRS modeling of transport-related infection with three types of noises

AU - Alkhazzan, Abdulwasea

AU - Wang, Jungang

AU - Nie, Yufeng

AU - Khan, Hasib

AU - Alzabut, Jehad

PY - 2023/8/1

Y1 - 2023/8/1

N2 - People's ability to easily travel across cities is thought to play a major role in the spread of infectious diseases. This research develops and analyzes a new Susceptible-Infected-Recovered-Susceptible (SIRS) model that accounts for transport-related infection, media coverage, and three types of noise (white, telegraph, and Lévy) to examine the role of transport in disease transmission. Thus, several theoretical and numerical uses of the revised model are investigated. Using Lyapunov functions, we check whether or not the model has a positive global solution. The infection either dies out or stays put beyond that point. The researched analytical results are validated by developing and using a numerical scheme to analyze and simulate the effects of various factors on the model's dynamics.

AB - People's ability to easily travel across cities is thought to play a major role in the spread of infectious diseases. This research develops and analyzes a new Susceptible-Infected-Recovered-Susceptible (SIRS) model that accounts for transport-related infection, media coverage, and three types of noise (white, telegraph, and Lévy) to examine the role of transport in disease transmission. Thus, several theoretical and numerical uses of the revised model are investigated. Using Lyapunov functions, we check whether or not the model has a positive global solution. The infection either dies out or stays put beyond that point. The researched analytical results are validated by developing and using a numerical scheme to analyze and simulate the effects of various factors on the model's dynamics.

KW - Extinction

KW - Lévy noise

KW - Markov chain process

KW - Persistence

KW - Stochastic SIRS epidemic model

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DO - 10.1016/j.aej.2023.06.049

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SP - 557

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JO - Alexandria Engineering Journal

JF - Alexandria Engineering Journal

ER -

A stochastic SIRS modeling of transport-related infection with three types of noises

Abstract

Keywords

UN SDGs

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