An SIRS epidemic model of Japanese Encephalitis
An epidemiological model of the dynamics of Japanese Encephalitis (J.E.) spread coupling the SIRS (Susceptible/Infected/Removal/Susceptible) models of J.E. spread in the reservoir population and in the human population has been proposed. The basic reproductive rate R(0) in the coupled system has bee...
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| Format: | Article |
| Language: | English |
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Wiley
1994-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171294000487 |
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| author | B. B. Mukhopadhyay P. K. Tapaswi |
| author_facet | B. B. Mukhopadhyay P. K. Tapaswi |
| author_sort | B. B. Mukhopadhyay |
| collection | DOAJ |
| description | An epidemiological model of the dynamics of Japanese Encephalitis (J.E.) spread coupling the SIRS (Susceptible/Infected/Removal/Susceptible) models of J.E. spread in the reservoir population and in the human population has been proposed. The basic reproductive rate R(0) in the coupled system has been worked out. Using Aron's results (cf. [1] and [2]), it has been observed that the disease-free system is stable in this coupled system also, if R(0) is less than unity, and if R(0) is greater than unity, the disease-free system is unstable and there exists a unique stable endemic equilibrium. |
| format | Article |
| id | doaj-art-9657d6d97871454ab02a75480aeb672f |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9657d6d97871454ab02a75480aeb672f2025-08-20T02:10:13ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117234735510.1155/S0161171294000487An SIRS epidemic model of Japanese EncephalitisB. B. Mukhopadhyay0P. K. Tapaswi1Department of Community Medicine, Burdwan Medical College, Burdwan 713 104, West Bengal, IndiaEmbryology Unit, Indian Statistical Institute, Calcutta 700 035, IndiaAn epidemiological model of the dynamics of Japanese Encephalitis (J.E.) spread coupling the SIRS (Susceptible/Infected/Removal/Susceptible) models of J.E. spread in the reservoir population and in the human population has been proposed. The basic reproductive rate R(0) in the coupled system has been worked out. Using Aron's results (cf. [1] and [2]), it has been observed that the disease-free system is stable in this coupled system also, if R(0) is less than unity, and if R(0) is greater than unity, the disease-free system is unstable and there exists a unique stable endemic equilibrium.http://dx.doi.org/10.1155/S0161171294000487SIRS modelJapanese encephalitisbasic reproduction ratestability analysiscontrol measure. |
| spellingShingle | B. B. Mukhopadhyay P. K. Tapaswi An SIRS epidemic model of Japanese Encephalitis International Journal of Mathematics and Mathematical Sciences SIRS model Japanese encephalitis basic reproduction rate stability analysis control measure. |
| title | An SIRS epidemic model of Japanese Encephalitis |
| title_full | An SIRS epidemic model of Japanese Encephalitis |
| title_fullStr | An SIRS epidemic model of Japanese Encephalitis |
| title_full_unstemmed | An SIRS epidemic model of Japanese Encephalitis |
| title_short | An SIRS epidemic model of Japanese Encephalitis |
| title_sort | sirs epidemic model of japanese encephalitis |
| topic | SIRS model Japanese encephalitis basic reproduction rate stability analysis control measure. |
| url | http://dx.doi.org/10.1155/S0161171294000487 |
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