Qualitative study on the transmission of an infectious disease by fractional differential equations

The aim of this paper is to study the Nipah virus transmission dynamics by a Caputo-type fractional differential equation. As a result, we indicate that the virus can be transmitted by the impact of unsafe contact with an infected corpse. We also explore sufficient conditions for the local stability of the disease-free and the endemic equilibrium points based on the basic reproduction number. Lastly, with numerical simulations, we compare the responses of fractional and classical formulations, and demonstrate the usefulness of minimal unsafe touch with the infectious corpse. Simulation results coincide with the theoretical consequences