Abstract
A simple mathematical model for malaria transmission with the inflow of infected immigrants is presented and analysed. The model is extended to incorporate and analyse the effects of seasonality in the transmission rates. The results obtained show that the model does not have a disease free equilibrium but has multiple endemic equilibria depending on the value of the fraction of infected immigrants. We also deduce that the seasonal strength influences the endemic levels in a population. Finally numerical analysis is carried out to determine the behaviour of the models under different scenarios
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