Mathematical model for the control of infectious disease
We proposed a mathematical model of infectious disease dynamics. The model is a system of first order ordinary differential equations. The population is partitioned into three compartments of Susceptible S(t) , Infected I(t) and Recovered R(t). Two equilibria states exist: the disease-free equilibr...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Joint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP)
2018-05-01
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| Series: | Journal of Applied Sciences and Environmental Management |
| Subjects: | |
| Online Access: | https://www.ajol.info/index.php/jasem/article/view/170456 |
| _version_ | 1797227970802221056 |
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| author | O.J. Peter O.B. Akinduko F.A. Oguntolu C.Y. Ishola |
| author_facet | O.J. Peter O.B. Akinduko F.A. Oguntolu C.Y. Ishola |
| author_sort | O.J. Peter |
| collection | DOAJ |
| description |
We proposed a mathematical model of infectious disease dynamics. The model is a system of first order ordinary differential equations. The population is partitioned into three compartments of Susceptible S(t) , Infected I(t) and Recovered R(t). Two equilibria states exist: the disease-free equilibrium which is locally asymptotically stable if Ro < 1 and unstable if Ro > 1. Numerical simulation of the model shows that an increase in vaccination leads to low disease prevalence in a population.
Keywords: Infectious Disease, Equilibrium States, Basic Reproduction Number
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| first_indexed | 2024-04-24T14:49:16Z |
| format | Article |
| id | doaj.art-7018914e384c421aab50faf1105dbb3a |
| institution | Directory Open Access Journal |
| issn | 2659-1502 2659-1499 |
| language | English |
| last_indexed | 2024-04-24T14:49:16Z |
| publishDate | 2018-05-01 |
| publisher | Joint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP) |
| record_format | Article |
| series | Journal of Applied Sciences and Environmental Management |
| spelling | doaj.art-7018914e384c421aab50faf1105dbb3a2024-04-02T19:51:55ZengJoint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP)Journal of Applied Sciences and Environmental Management2659-15022659-14992018-05-0122410.4314/jasem.v22i4.1Mathematical model for the control of infectious diseaseO.J. PeterO.B. AkindukoF.A. OguntoluC.Y. Ishola We proposed a mathematical model of infectious disease dynamics. The model is a system of first order ordinary differential equations. The population is partitioned into three compartments of Susceptible S(t) , Infected I(t) and Recovered R(t). Two equilibria states exist: the disease-free equilibrium which is locally asymptotically stable if Ro < 1 and unstable if Ro > 1. Numerical simulation of the model shows that an increase in vaccination leads to low disease prevalence in a population. Keywords: Infectious Disease, Equilibrium States, Basic Reproduction Number https://www.ajol.info/index.php/jasem/article/view/170456Infectious DiseaseEquilibrium StatesBasic Reproduction Number |
| spellingShingle | O.J. Peter O.B. Akinduko F.A. Oguntolu C.Y. Ishola Mathematical model for the control of infectious disease Journal of Applied Sciences and Environmental Management Infectious Disease Equilibrium States Basic Reproduction Number |
| title | Mathematical model for the control of infectious disease |
| title_full | Mathematical model for the control of infectious disease |
| title_fullStr | Mathematical model for the control of infectious disease |
| title_full_unstemmed | Mathematical model for the control of infectious disease |
| title_short | Mathematical model for the control of infectious disease |
| title_sort | mathematical model for the control of infectious disease |
| topic | Infectious Disease Equilibrium States Basic Reproduction Number |
| url | https://www.ajol.info/index.php/jasem/article/view/170456 |
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