STABILITY ANALYSIS OF ROTAVIRUS-MALARIA CO-EPIDEMIC MODEL WITH VACCINATION

This study proposes a model that describes the dynamics of rotavirus and malaria co-epidemics with vaccination using systems of nonlinear ordinary differential equations. We first study the sub-model of rotavirus-only in order to gain insights into how vaccination impacts on transmission dynamics of rotavirus separately, thereafter we study the full model. The basic reproduction numbers of the sub-models of rotavirus-only and malaria-only are determined and used to establish the existence and analyze the stabilities of equilibria. The model is extended to explore the effects of rotavirus and its vaccination on rotavirus-malaria co-infection dynamics. Results show that the rotavirus-only model is globally asymptotically stable when the reproduction number, R-r is less than one while the co-infection model is found to exhibit a backward bifurcation. Further analysis indicate rotavirus vaccination would effectively reduce co-infections with malaria. We carry out numerical simulations to illustrate the potential impact of the vaccination scenarios and to support our analytical findings.