RT Journal Article
T1 Concept and solution of digital twin based on a Stieltjes differential equation
A1 Area Carracedo, Iván Carlos
A1 Fernández Fernández, Francisco Javier
A1 Nieto, Juan J.
A1 Fernández Tojo, Fernando Adrián
K1 1206.02 Ecuaciones Diferenciales
K1 1206.12 Ecuaciones Diferenciales Ordinarias
K1 2420.08 Virus Respiratorios
AB We introduce the concept of a digital twin by using Stieltjes differential equations. A precise mathematical definition of solution to the problem is presented. We also analyze the existence and uniqueness of solutions, introduce the concept of main digital twin. As a particular case, the classical compartmental SIR (susceptible, infected, recovered) epidemic model is considered and we study the interrelation between the digital twin and the system. In doing so, we use Stieltjes derivatives to feed the data from the real system to the virtual model which, in return, improves it in real time. Numerical simulations with real data of the COVID-19 epidemic show the accuracy of the proposed ideas.
PB Mathematical Methods in the Applied Sciences
SN 01704214
YR 2022
FD 2022-08
LK http://hdl.handle.net/11093/3350
UL http://hdl.handle.net/11093/3350
LA eng
NO Mathematical Methods in the Applied Sciences, 45(12): 7451-7465 (2022)
NO Financiado para publicación en acceso aberto: Universidade de Vigo/CISUG
NO Xunta de Galicia | Ref. ED431C 2019/02
DS Investigo
RD 04-dic-2024