Mathematical analysis of a novel Japanese encephalitis fractional model

Japanese encephalitis (JE) is a mosquito-borne disease that causes encephalitis, mostly in children in Asia and livestock. In this paper, a new fractional model of JE transmission involving the general form of Caputo derivative is proposed. This model emphasis on the environmental effects on the aquatic phase of mosquitoes. Basilar properties of the new model including the equilibrium points and the basic reproduction number are considered. Moreover, a product-integration-based numerical method is established to solve and implement the new model.