| dc.description.abstract | Rotavirus is the most common cause of severe gastroenteritis infection in infants and
young children, occurring even with very high standard of hygiene. The disease spreads by
contact with infected faeces and might also be transmitted through faecally-contaminated:
food, water and respiratory droplets. Rota teq and Rotarix are the two licensed oral
vaccine intervention for rotavirus. However, it takes time for the development of vaccineinduced
immunity to complete, hence the need to investigate the impact of this time
delay on the dynamics of rotavirus. The objectives of the study were: to formulate
a mathematical model for rotavirus incorporating time delay in vaccination; to perform
stability analysis of the model formulated and to simulate the long term effect of time
delay. A mathematical model based on a system of delay differential equation for rotavirus
incorporating time delay in the effects of vaccination was formulated. The disease free
equilibrium has been proved to be both locally and globally stable. The endemic equilibria
is proved to be locally stable whenever = 0 and undergoes a Hopf bifurcation if > 0.
From the analytical and simulation results, we observe a decrease in rotavirus infection
as result of using vaccine with high efficacy rates and a shorter delay time. Hence we
recommend vaccine with high efficacy rates and a shorter delay time should be introduced
in order to effectively control rotavirus infections. The fundings of this study can be
adopted by policy makers and health practitioners in planning and allocation of resources
towards vaccination strategies for control of rotavirus infection. | en_US |
