A Mathematical Model for Rotavirus Infection Incorporating Time Delay on the Effectiveness of Vaccination with Treatment

Rotavirus is the most common cause of severe diarrheal disease in young children globally attributing approximately 527,000 deaths of children under five each year. A Rotavirus vaccine was developed in 1998, however, it takes time for vaccine induced immunity to take place. The aim of the study was develop and analyze a mathematical model on rotavirus infection which incorporated a time delay on effectiveness of vaccination with treatment. The developed model was shown to be positively invariant and bounded.Conditions for stability of the equilibrium points is obtained and it is also shown that a bigger time delay would make the population not to be predictable. The findings of this study is useful to the government, ministry of Health stakeholders and policy developers and further provides baseline information for studies of this nature.