摘要：In this article, a mathematical model of a rotavirus infection incorporating vaccination has been developed and comprehensively analyzed. The basic reproduction number, R v $R_{v}$ , has been established. Proof of existence of a positive endemic equilibrium has been derived. Through the analysis and simulation, it has been shown that both disease-free and endemic equilibria are globally asymptotically stable provided that R v 1 $R_{v}>1$ , respectively. Real data has been fitted to the model, showing that it can be used to predict the nature of a rotavirus infection in a population. The results of both the analysis and the simulation show that vaccination is a very effective way of controlling rotavirus infection.
关键词：rotavirus ; vaccination ; global asymptotic stability ; positive endemic equilibrium ; basic reproduction number
