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Disease transmission MSEIR model with individuals traveling between patches i and i+1

In this article we want to formulate a disease transmission model, MSEIR model, for a population with individuals travelling between patches i and i + 1 and we derive an explicit formula for the basic repro- ductive number, R0, employing the spectral radius of the next generation operator. Also, in...

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Main Authors: Chaharborj, Sarkhosh Seddighi, Abu Bakar, Mohd Rizam, Ebadian, Alli
Format: Article
Language:English
Published: The Korean Society for Computational and Applied Mathematics 2010
Online Access:http://psasir.upm.edu.my/id/eprint/14091/1/Disease%20Transmission%20MSEIR%20Model%20with%20Individuals%20Traveling%20Between%20Patches%20I%20and%20I.pdf
http://psasir.upm.edu.my/id/eprint/14091/
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spelling my.upm.eprints.140912015-11-26T00:53:25Z http://psasir.upm.edu.my/id/eprint/14091/ Disease transmission MSEIR model with individuals traveling between patches i and i+1 Chaharborj, Sarkhosh Seddighi Abu Bakar, Mohd Rizam Ebadian, Alli In this article we want to formulate a disease transmission model, MSEIR model, for a population with individuals travelling between patches i and i + 1 and we derive an explicit formula for the basic repro- ductive number, R0, employing the spectral radius of the next generation operator. Also, in this article we show that a system of ordinary differen- tial equations for this model has a unique disease-free equilibrium and it is locally asymptotically stable if R0 < 1 and unstable if R0 > 1. The Korean Society for Computational and Applied Mathematics 2010-09 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/14091/1/Disease%20Transmission%20MSEIR%20Model%20with%20Individuals%20Traveling%20Between%20Patches%20I%20and%20I.pdf Chaharborj, Sarkhosh Seddighi and Abu Bakar, Mohd Rizam and Ebadian, Alli (2010) Disease transmission MSEIR model with individuals traveling between patches i and i+1. Journal of Applied Mathematics and Informatics, 28 (5-6). 1073 - 1088. ISSN 1598-5857; ESSN: 2234-8417
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description In this article we want to formulate a disease transmission model, MSEIR model, for a population with individuals travelling between patches i and i + 1 and we derive an explicit formula for the basic repro- ductive number, R0, employing the spectral radius of the next generation operator. Also, in this article we show that a system of ordinary differen- tial equations for this model has a unique disease-free equilibrium and it is locally asymptotically stable if R0 < 1 and unstable if R0 > 1.
format Article
author Chaharborj, Sarkhosh Seddighi
Abu Bakar, Mohd Rizam
Ebadian, Alli
spellingShingle Chaharborj, Sarkhosh Seddighi
Abu Bakar, Mohd Rizam
Ebadian, Alli
Disease transmission MSEIR model with individuals traveling between patches i and i+1
author_facet Chaharborj, Sarkhosh Seddighi
Abu Bakar, Mohd Rizam
Ebadian, Alli
author_sort Chaharborj, Sarkhosh Seddighi
title Disease transmission MSEIR model with individuals traveling between patches i and i+1
title_short Disease transmission MSEIR model with individuals traveling between patches i and i+1
title_full Disease transmission MSEIR model with individuals traveling between patches i and i+1
title_fullStr Disease transmission MSEIR model with individuals traveling between patches i and i+1
title_full_unstemmed Disease transmission MSEIR model with individuals traveling between patches i and i+1
title_sort disease transmission mseir model with individuals traveling between patches i and i+1
publisher The Korean Society for Computational and Applied Mathematics
publishDate 2010
url http://psasir.upm.edu.my/id/eprint/14091/1/Disease%20Transmission%20MSEIR%20Model%20with%20Individuals%20Traveling%20Between%20Patches%20I%20and%20I.pdf
http://psasir.upm.edu.my/id/eprint/14091/
_version_ 1643825527833755648
score 13.211869

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