Numerical Solution of Fractional Order Epidemic Model of a Vector Born Disease by Laplace Adomian Decomposition Method

摘要

In this paper, we bring into focus a fractional order epidemicmodel of a vector -born disease with direct transmission in a populationwhich is assumed to have a constant size over the period of the epidemic isconsider. In this article, we only study the numerical solutions of the concernedmodel with the help of Laplace-Adomian decomposition method.We obtain the solutions of the differential equations involved in the modelin the form of infinite series. The concerned series rapidly converges toits exact value. Then, we compare our results with the results obtained byRunge-kutta method in case of integer order derivative.