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Rift Valley fever is a zoonotic disease which is mainly transmitted by mosquitoes and has potential to affect humans and animals. To gain some understanding on its dynamics in an urban peridomestic cycle, a fractional-order derivative model is formulated and analysed. The basic reproduction number  ℛ 0 is computed and used in analysing the stability of disease when an outbreak occurs. Numerical simulations are performed in order to the variation of each population at order  α = 1,0.75 , 0.5 , and 0.25. Results from simulations show that there is an increase in susceptible and exposed population in both human and mosquitoes as the value of  α decreases. The infected population decreases with a decrease in the value of  α . However, a rapid increase in susceptible mosquitoes is observed just after the first 30 days and a rapid decrease in infected human and mosquitoes after the first 30 days for  α = 1 . Hence, fractional-order derivative also plays a significant role in providing insight on disease transmission and dynamics.

Fractional-Order Derivative Model of Rift Valley Fever in Urban Peridomestic Cycle