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Abstract
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In this paper, some epidemic models for the transmission of Infectious diseases will be ana-
lyzed via some kind of fractional derivatives. The effect of insurance parameter on the incidence
of the diseases will be considered. The reproduction numbers will be calculated. The equilib-
rium points of the models are calculated and the stability of the disease-free equilibrium point
is demonstrated. The significance of the parameters is evaluated through sensitivity analysis.
Additionally, a numerical method is presented and numerical simulations are conducted
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