Dynamics of rabies disease model under Atangana–Baleanu fractional derivative

In this work, animal rabies disease is explored through a nonlinear mathematical model. The necessary conditions under the fractional operator is considered for the existence and uniqueness of solutions. The parameters are estimated through the model calibration with the confirmed cases of rabies in cattle, from 1996 to 2002, in India. Numerical results portray that fractional order gives good fit to the real data in comparison with the classical order. Moreover, different control strategies, based on the sensitivity of parameters, are discussed for the controlling and reduction of the infection.