In this paper an e-SIR epidemic model with fuzzy initial values is proposed. The crisp solution is found by applying the Matlab and the fuzzy solution of e-SIR epidemic model is derived by using generalized differentiability method. After analyzing e-SIR epidemic model with fuzzy initial values a set of solutions is obtained but all the solutions do not reflect the physical behavior of the said model. Hence choose the best solution from the set of solutions which better fits the behavior of e-SIR epidemic model.

e-SIR epidemic model, fuzzy derivative, fuzzy differential equation (FDE), fuzzy initial values.