Affiliations: College of Mathematics and Systems Science, Xinjiang University, Urumqi, Xinjiang, China
Correspondence:
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Corresponding author. Zhiming Li and Zhidong Teng, College of Mathematics and Systems Science, Xinjiang University, Urumqi, Xinjiang 830046, China. E-mails: [email protected] (Z. Li) and [email protected] (Z. Teng).
Abstract: This paper extends the classical susceptible-infected-susceptible (SIS) epidemic model from a deterministic framework to an uncertain one and formulates it as an uncertain differential equation (UDE) for SIS epidemic model. The solutions of UDE SIS model and the corresponding α-paths are obtained. Under some conditions, these α-paths have the convergence properties. Further, a general uncertain SIS model is introduced. It’s solutions and α-paths are given. An algorithm is provided to solve α-paths and uncertain distributions of the UDE SIS model, including some examples.
