Analytical Model of Spread of Epidemics in Open Finite Regions

Epidemic dynamics, a kind of biological mechanisms describing microorganism propagation within populations, can inspire a wide range of novel designs of engineering technologies, such as advanced wireless communication and networking, global immunization on complex systems, and so on. There have bee...

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Main Authors: Daxin Tian, Chao Liu, Zhengguo Sheng, Min Chen, Yunpeng Wang
Format: Article
Language:English
Published: IEEE 2017-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/7915684/
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author Daxin Tian
Chao Liu
Zhengguo Sheng
Min Chen
Yunpeng Wang
author_facet Daxin Tian
Chao Liu
Zhengguo Sheng
Min Chen
Yunpeng Wang
author_sort Daxin Tian
collection DOAJ
description Epidemic dynamics, a kind of biological mechanisms describing microorganism propagation within populations, can inspire a wide range of novel designs of engineering technologies, such as advanced wireless communication and networking, global immunization on complex systems, and so on. There have been many studies on epidemic spread, but most of them focus on closed regions where the population size is fixed. In this paper, we proposed a susceptible-exposed-infected-recovered model with a variable contact rate to depict the dynamic spread processes of epidemics among heterogeneous individuals in open finite regions. We took the varied number of individuals and the dynamic migration rate into account in the model. We validated the effectiveness of our proposed model by simulating epidemics spread in different scenarios. We found that the average infected possibility of individuals, the population size of infectious individuals in the regions, and the infection ability of epidemics have great impact on the outbreak sizes of epidemics. The results demonstrate that the proposed model can well describe epidemics spread in open finite regions.
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spelling doaj.art-d7e1b43707dd4901b5df1e642106499e2022-12-21T23:03:14ZengIEEEIEEE Access2169-35362017-01-0159673968110.1109/ACCESS.2017.26999707915684Analytical Model of Spread of Epidemics in Open Finite RegionsDaxin Tian0https://orcid.org/0000-0001-7796-5650Chao Liu1Zhengguo Sheng2Min Chen3https://orcid.org/0000-0002-0960-4447Yunpeng Wang4Beijing Key Laboratory for Cooperative Vehicle Infrastructure Systems and Safety Control, School of Transportation Science and Engineering, Beihang University, Beijing, ChinaBeijing Key Laboratory for Cooperative Vehicle Infrastructure Systems and Safety Control, School of Transportation Science and Engineering, Beihang University, Beijing, ChinaDepartment of Engineering and Design, University of Sussex, Richmond, U.K.School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan, ChinaBeijing Key Laboratory for Cooperative Vehicle Infrastructure Systems and Safety Control, School of Transportation Science and Engineering, Beihang University, Beijing, ChinaEpidemic dynamics, a kind of biological mechanisms describing microorganism propagation within populations, can inspire a wide range of novel designs of engineering technologies, such as advanced wireless communication and networking, global immunization on complex systems, and so on. There have been many studies on epidemic spread, but most of them focus on closed regions where the population size is fixed. In this paper, we proposed a susceptible-exposed-infected-recovered model with a variable contact rate to depict the dynamic spread processes of epidemics among heterogeneous individuals in open finite regions. We took the varied number of individuals and the dynamic migration rate into account in the model. We validated the effectiveness of our proposed model by simulating epidemics spread in different scenarios. We found that the average infected possibility of individuals, the population size of infectious individuals in the regions, and the infection ability of epidemics have great impact on the outbreak sizes of epidemics. The results demonstrate that the proposed model can well describe epidemics spread in open finite regions.https://ieeexplore.ieee.org/document/7915684/Epidemic dynamicsspreading behaviorsystem model
spellingShingle Daxin Tian
Chao Liu
Zhengguo Sheng
Min Chen
Yunpeng Wang
Analytical Model of Spread of Epidemics in Open Finite Regions
IEEE Access
Epidemic dynamics
spreading behavior
system model
title Analytical Model of Spread of Epidemics in Open Finite Regions
title_full Analytical Model of Spread of Epidemics in Open Finite Regions
title_fullStr Analytical Model of Spread of Epidemics in Open Finite Regions
title_full_unstemmed Analytical Model of Spread of Epidemics in Open Finite Regions
title_short Analytical Model of Spread of Epidemics in Open Finite Regions
title_sort analytical model of spread of epidemics in open finite regions
topic Epidemic dynamics
spreading behavior
system model
url https://ieeexplore.ieee.org/document/7915684/
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AT chaoliu analyticalmodelofspreadofepidemicsinopenfiniteregions
AT zhengguosheng analyticalmodelofspreadofepidemicsinopenfiniteregions
AT minchen analyticalmodelofspreadofepidemicsinopenfiniteregions
AT yunpengwang analyticalmodelofspreadofepidemicsinopenfiniteregions