Back to Search
Start Over
Existence of exact solution of the Susceptible-Exposed-Infectious-Recovered (SEIR) epidemic model.
- Source :
-
Journal of Differential Equations . May2023, Vol. 355, p103-143. 41p. - Publication Year :
- 2023
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DIFFERENTIAL equations
*EPIDEMICS
*INITIAL value problems
*LINEAR systems
Subjects
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 355
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 162475079
- Full Text :
- https://doi.org/10.1016/j.jde.2023.01.017