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Yayın A crank nicolson difference scheme for the system of nonlinear observing epidemic models(Maltepe Üniversitesi, 2019) Ashyralyev, A.; Hincal, E.; Kaymakamzade, B.Classical epidemic SIR, SIS, and SEIR models have been proposed and studied by many authors in (see, e.g., [1]- [2] and the references given therein). Theorems on existence and uniqueness of the bounded solution of linear and nonlinear systems are established in ( [3],[4]). In the present paper, a Crank Nicolson difference scheme and iteration method are used for the approximate solution of system of nonlinear observing epidemic model. Numerical results are provided.Yayın Numerical solution of the system of fractional differential equations observing epidemic models(Maltepe Üniversitesi, 2019) Ashyralyev, Allaberen; Kaymakamzade, B.; Hayder, I. D.Classical epidemic fractional and differential models have been proposed and studied by many authors in (see, e.g., [1]- [4]). In the present study, numerical solutions of fractional differential equations observing epidemic model problems are investigated. First and second order of accuracy difference schemes are presented for the solution of the one dimensional epidemic problems and the numerical procedure for implementation of these schemes is discussed.