Abstract
The objective of this work is to examine the dynamics of a fractional-order susceptible-infectious-recovered (SIR) model that simulate epidemiological diseases such as childhood diseases. An effective numerical scheme based on Grünwald–Letnikov fractional derivative is suggested to solve the considered model. A stability analysis is performed to qualitatively examine the dynamics of the SIR model. The reliability and robustness of the proposed scheme is demonstrated by comparing obtained results with results obtained from a fourth order Runge–Kutta built-in Maple syntax when considering derivatives of integer order. Graphical illustrations of the numerical results are given. The inaccuracy of some results presented in two studies exist in the literature have been clearly explained. Generalizing of the cases examined in another study, by considering a model with fraction-order derivatives, is another objective of this work as well.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference32 articles.
1. Study of a Fractional-Order Epidemic Model of Childhood Diseases
2. Numerical Analysis of Fractional Order Epidemic Model of Childhood Diseases
3. Adomian decomposition approach to a SIR epidemic model with constant vaccination strategy
4. Mathematical modelling, simulation, and optimal control of the 2014 ebola outbreak in West Africa. Discret;Rachah;Dyn. Nat. Soc.,2015
5. A Mathematical model with quarantine states for the dynamics of Ebola virus disease in human populations;GA;Comput. Math. Methods Med.,2016
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献