Fractional order model for the spread of leptospirosis

Abstract

This paper deals with the fractional order for the spread of Leptospirosis. The non-local property of Leptospirosis epidemic model presented by fractional order differential equation makes the model to be more realistic compare to the analogues integer order, which lacks this property. The stability of disease free and positive fixed points is studied. We show that the model introduced in this paper has non negative solutions. AdamsBashforthMoulton algorithm have been used to solve and simulate the system of differential equations. Mathematics Subject Classification: 92B05, 93A30, 93C15