The Effect of Pulse Vaccination on the Transmission Dynamics of Rotavirus Diarrhea
Journal of Chemical, Environmental and Biological Engineering
Volume 2, Issue 1, June 2018, Pages: 26-31
Received: May 18, 2018; Accepted: Jun. 12, 2018; Published: Jul. 9, 2018
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Author
Amar Nath Chatterjee, Department of Mathematics, K. L. S. College, Magadh University, Bodh-Gaya, India
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Abstract
Diarrhea is the third most fatal disease in the developing countries. Approximately 611,000 children die each year due to effect of rotavirus infection. Rotavirus also causes gastroenteritis in adults and it is the main cases of travellers’ diarrhea. After initial contact, children are more susceptible to be affected with diarrhoeal illnesses of any kind, but the repeatition of infections with rotavirus tend to be less severe than the original infection. Rotavirus continues to persist, is attributed to the different modes of transmission among the pathogens. To fight against this problem, several rotavirus vaccines have been developed. Federal Drug Administration (FDA) approved drugs within the last two years are currently in use. These vaccines present a degree of protection from rotavirus infection. We formulate a model of the spread of rotavirus diarrhea based on a continuous time ordinary differential equations model. We further expand the model to investigate the effects of pulse vaccination. We use computer simulations to further analyze the effect of vaccination as a controlled method. We find the minimum levels of vaccination necessary in this model to eradicate severe rotavirus disease.
Keywords
Diarrhea, Rota Virus, Pulse Vaccination, Impulsive Differential Equation
To cite this article
Amar Nath Chatterjee, The Effect of Pulse Vaccination on the Transmission Dynamics of Rotavirus Diarrhea, Journal of Chemical, Environmental and Biological Engineering. Vol. 2, No. 1, 2018, pp. 26-31. doi: 10.11648/j.jcebe.20180201.15
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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