An SIRS epidemic model of Japanese Encephalitis

B. B. Mukhopadhyay and P. K. Tapaswi

International Journal of Mathematics and Mathematical Sciences, 1994, vol. 17, 1-9

Abstract:

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.

The model also shows that in contrast to Aron's observations, loss of immunity is independent of the rate of exposure to the disease. This observation sheds light on the control measure of J.E. by vaccination. Passive immunization, i.e., administration of antibody at recurrent intervals is the correct method of vaccination to eradicate the disease.

Date: 1994
References: Add references at CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/17/352614.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/17/352614.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:352614

DOI: 10.1155/S0161171294000487

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().