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In this article, we formulate and analyze a mathematical model including breastfeeding and vaccination to study the transmission dynamics of rotavirus epidemics. The model is divided into five compartmental classes, namely, the susceptible compartment ; the breastfeeding compartment ; the vaccinated compartment ; the infected compartment ; and the recovered compartment . To understand the threshold of infection, the basic reproduction number relating to breastfeeding and vaccination, denoted asdoi:10.5614/j.math.fund.sci.2020.52.1.4 fatcat:l647yvnj4jgkxlapaur5a5nw5e