Existence of exact solution of the Susceptible-Exposed-Infectious-Recovered (SEIR) epidemic model
arXiv:2302.00826 · doi:10.1016/j.jde.2023.01.017
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.
40 pages, 9 figures
References in corpus (4)
- Exact analytical solutions of the Susceptible-Infected-Recovered (SIR) epidemic model and of the SIR model with equal death and birth rates
- Exact Solution to a Dynamic SIR Model
- Analytic solution of the SEIR epidemic model via asymptotic approximant
- A note on Exact solution of SIR and SIS epidemic models