Integrable discretizations of the SIR model

Autor:	Tanaka, Yuta, Maruno, Ken-ichi
Rok vydání:	2022
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical Physics Mathematics - Dynamical Systems Mathematics - Numerical Analysis
Zdroj:	RIMS Kokyuroku Bessatsu, B94, pp85--115 (2023)
Druh dokumentu:	Working Paper
Popis:	Structure-preserving discretizations of the SIR model are presented by focusing on the hodograph transformation and the conditions for integrability for their discrete SIR models are given. For those integrable discrete SIR models, we derive their exact solutions as well as conserved quantities. If we choose the parameter appropriately for one of our proposed discrete SIR models, it conserves the conserved quantities of the SIR model. We also investigate an ultradiscretizable discrete SIR model. Comment: 31 pages, 8 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2209.08549 Zobrazit plný text záznamu View this record from Arxiv