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On the awareness programs of the epidemic outbreaks fractional model. (English) Zbl 1513.92088

Summary: In this paper, a novel fractional model for the effect of awareness programs on the epidemic outbreaks is presented. This system is generalized to the standard awareness programs model by using fractional Caputo operator. Properties of the introduced system is studied analytically and numerically. Three numerical methods are introduced to solve the proposed model. These methods are the generalized Euler method, the predictor-corrector method, and the nonstandard finite difference method. Numerical simulations show that, the nonstandard finite difference method can be applied to solve such fractional differential equations simply and effectively.

MSC:

92D30 Epidemiology
26A33 Fractional derivatives and integrals
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