Fractional Order SIR Model with Constant Population
Eric Okyere, Francis Tabi Oduro, Samuel Kwame Amponsah, Isaac Kwame Dontwi, Nana Kena Frempong
Journal of Advances in Mathematics and Computer Science · pp. 1–12 · Published 28 Jan 2016
10.9734/BJMCS/2016/23017Abstract
The main objective of this paper is to formulate an epidemiological model using fractional order derivatives which has an advantage over the classical integer order models due to its memory effect property. Our mathematical formulation of the non-integer order initial value problem will be based on the famous fractional order Caputo derivative. We discuss and show the existence of non-negative solutions of the mathematical model. We further investigate local asymptotic stability analysis of model equilibria. Finally, numerical solutions are presented using Adams-type predictor-corrector method to illustrate fractional model trajectories.
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