Citation
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
Abstract
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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Additional Metadata
| Item Type: |
Article
|
| Divisions: |
Faculty of Science |
| Publisher: |
The Korean Society for Computational and Applied Mathematics |
| Keywords: |
Basic reproductive number; Modified reproductive number; Disease-free equilibrium; Irreducible |
| Depositing User: |
Nurul Ainie Mokhtar
|
| Date Deposited: |
26 Nov 2015 00:53 |
| Last Modified: |
26 Nov 2015 00:53 |
| URI: |
http://psasir.upm.edu.my/id/eprint/14091 |
| Statistic Details: |
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