A Simplified Fractional Seir Epidemic Model and Unique Inversion of the Fractional Order

Autor:	Yi Zhang, Gongsheng Li
Rok vydání:	2022
Předmět:	General Mathematics
Zdroj:	WSEAS TRANSACTIONS ON MATHEMATICS. 21:113-118
ISSN:	2224-2880 1109-2769
DOI:	10.37394/23206.2022.21.17
Popis:	A simplified linear time-fractional SEIR epidemic system is set forth, and an inverse problem of determining the fractional order is discussed by using the measurement at one given time. By the Laplace transform the solution to the forward problem is obtained, by which the inverse problem is transformed to a nonlinear algebraic equation. By choosing suitable model parameters and the measured time, the nonlinear equation has a unique solution by the monotonicity of the Mittag-Lellfer function. Theoretical testification is presented to demonstrate the unique solvability of the inverse problem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c48822f92d6b852d55a72d27cb0c7f58 https://doi.org/10.37394/23206.2022.21.17 Zobrazit plný text záznamu