Integrable discretizations of the SIR model
Exactly Solvable and Integrable Systems
2024-03-06 v3 Numerical Analysis
Mathematical Physics
Dynamical Systems
math.MP
Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2209.08549,
title = {Integrable discretizations of the SIR model},
author = {Yuta Tanaka and Ken-ichi Maruno},
journal= {arXiv preprint arXiv:2209.08549},
year = {2024}
}
Comments
31 pages, 8 figures