Solutions of Fractional Order Model of Childhood diseases with Constant Vaccination Strategy
Date
2012
Authors
Journal Title
Journal ISSN
Volume Title
Type
Article
Publisher
Mathematical Sciences Letters
Series Info
Mathematical Sciences Letters;Vol. 1 No. 1 17-23
Doi
Scientific Journal Rankings
Abstract
Childhood vaccination programs have had a dramatic impact on child morbidity and mortality. Protecting children from diseases that can be prevented by vaccination is a primary goal of health administrators. A SIR model that monitors the temporal dynamics of a childhood disease in the presence of preventive vaccine is presented in this paper. We introduce fractional-order into the presented model. Homotopy analysis method (HAM) is considered in this paper to obtain an analytic approximate solution of this model. The results obtained by HAM are compared with the classical fourth order Runge–Kutta method (RK4) to gauge its effectiveness. The obtained results proved that the disease will persist within the population if the vaccination coverage level is below a certain threshold.
Description
Keywords
University for Infectious diseases modes, Fractional order differential equations, Homotopy analysis method
Citation
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