Publisher:International Journal Of Advanced in Science and Technology
Series Info:International Journal Of Advanced in Science and Technology;VOL : 5 Issue : 20
Type:Article
Keywords:University for Childhood diseases
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Fractional order differential equations
,
GeneralizedEuler method
Abstract:
Childhood vaccination programs have had a dramatic impact onreducing child mortality worldwide. We introduce fractional-order into A SIRmodel that monitors the temporal dynamics of a childhood disease in the pres-ence of preventive vaccine is presented in this paper. Generalized Euler method(GEM) is considered in this paper to obtain an analytic approximate solutionof this model. The obtained results proved that the disease will persist withinthe population if the vaccination coverage level is below a certain threshold.