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Optimal control of a fractional order model for granular SEIR epidemic with uncertainty
Communications in Nonlinear Science and Numerical Simulation Số , năm 2020 (Tập 88, trang -)
DOI: 10.1016/j.cnsns.2020.105312
Tài liệu thuộc danh mục: ISI, Scopus
English
English
Từ khóa: Differential equations; Fuzzy sets; Optimal control systems; Existence and uniqueness of solution; Fractional derivatives; Fractional differential; Fractional order models; Fractional systems; Optimal control problem; SEIR epidemic models; Uncertain environments; Disease control
Tóm tắt tiếng anh
In this study, we present a general formulation for the optimal control problem to a class of fuzzy fractional differential systems relating to SIR and SEIR epidemic models. In particular, we investigate these epidemic models in the uncertain environment of fuzzy numbers with the rate of change expressed by granular Caputo fuzzy fractional derivatives of order β ∈ (0, 1]. Firstly, the existence and uniqueness of solution to the abstract fractional differential systems with fuzzy parameters and initial data are proved. Next, the optimal control problem for this fractional system is proposed and a necessary condition for the optimality is obtained. Finally, some examples of the fractional SIR and SEIR models are presented and tested with real data extracted from COVID-19 pandemic in Italy and South Korea. © 2020 Elsevier B.V.
