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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| Format: | Article |
| Language: | English |
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The Korean Society for Computational and Applied Mathematics
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/14091/ http://psasir.upm.edu.my/id/eprint/14091/1/Disease%20Transmission%20MSEIR%20Model%20with%20Individuals%20Traveling%20Between%20Patches%20I%20and%20I.pdf |
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| author | Chaharborj, Sarkhosh Seddighi Abu Bakar, Mohd Rizam Ebadian, Alli |
| author_facet | Chaharborj, Sarkhosh Seddighi Abu Bakar, Mohd Rizam Ebadian, Alli |
| author_sort | Chaharborj, Sarkhosh Seddighi |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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.
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| first_indexed | 2025-11-15T07:56:54Z |
| format | Article |
| id | upm-14091 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T07:56:54Z |
| publishDate | 2010 |
| publisher | The Korean Society for Computational and Applied Mathematics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Chaharborj, Sarkhosh Seddighi Abu Bakar, Mohd Rizam Ebadian, Alli Disease transmission MSEIR model with individuals traveling between patches i and i+1 |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/14091/ http://psasir.upm.edu.my/id/eprint/14091/1/Disease%20Transmission%20MSEIR%20Model%20with%20Individuals%20Traveling%20Between%20Patches%20I%20and%20I.pdf |