Existence of exact solution of the Susceptible-Exposed-Infectious-Recovered (SEIR) epidemic model

Autor:	Yoshida, Norio
Rok vydání:	2023
Předmět:	Quantitative Biology - Populations and Evolution 34A34
Zdroj:	J. Differential Equations 355(2023), 103-143
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jde.2023.01.017
Popis:	Exact solutions of the SEIR epidemic model are derived, and various properties of solutions are obtained directly from the exact solution. In this paper Abel differential equations play an important role in establishing the exact solution of SEIR differential system, in particular the number of infected individuals can be represented in a simple form by using a positive solution of an Abel differential equation. It is shown that the parametric form of the exact solution satisfies some linear differential system including a positive solution of an Abel differential equation. Comment: 40 pages, 9 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.00826 Zobrazit plný text záznamu View this record from Arxiv