The solution of fractional order epidemic model by implicit Adams methods

We consider the numerical solution of the fractional order epidemic model on long time intervals of a non-fatal disease in a population. Under real-life initial conditions the problem needs to be treated by means of an implicit numerical scheme. Here we consider the use of implicit fractional linear multistep methods of Adams type. Numerical results are presented. (C) 2016 Elsevier Inc. All rights reserved.