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.
Highlights
Rotavirus is a virus for which babies and young children suffer from diarrhea
A basic mathematical model has been formulated to study the infection for Rota Virus on human population
The disease free equilibrium is asymptotically stable if the basic reproduction number is below the unity
Summary
Rotavirus is a virus for which babies and young children suffer from diarrhea. The common symptoms are vomiting and fever. The development of rotavirus vaccines is used for the control of diarrheal disease in children, and the impact of the introduction of these vaccines at the population-scale is uncertain [3]. A few mathematical studies about Rota virus till today have been addressed as the disease transmission, vaccine and drug options [4,5,6,7,8,9,10]. Atkinsa et al [7] worked on the reduction in RVGE incidence They observed that if vaccineinduced protection does not wane over three years, severe RVGE in children under five years of age could be eliminated within two years after the introduction of Rota virus vaccination.
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