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 Roig, Juan José
A1 Fernández Tojo, Fernando Adrián
K1 Compartmental epidemiological model
K1 COVID-19
K1 Digital twin
K1 Stieltjes differential equation
AB We introduce the concept of a digital twin by using Stieltjes differentialequations. A precise mathematical definition of solution to the problem is presented. We also analyze the existence and uniqueness of solutions, introducethe concept of main digital twin. As a particular case, the classical compartmental SIR (susceptible, infected, recovered) epidemic model is considered and westudy the interrelation between the digital twin and the system. In doing so, weuse Stieltjes derivatives to feed the data from the real system to the virtual modelwhich, in return, improves it in real time. Numerical simulations with real dataof the COVID-19 epidemic show the accuracy of the proposed ideas.
PB Wiley
YR 2022
FD 2022
LK http://hdl.handle.net/10347/34446
UL http://hdl.handle.net/10347/34446
LA eng
NO Math Meth Appl Sci. 2022;45:7451–7465
NO Agencia Estatal de Investigación (Spain),Grant/Award Number: MTM2016-75140-Pand PID2020-113275GB-I00; Xunta deGalicia, Grant/Award Number: ED431C2019/02; Instituto de Salud Carlos III,Grant/Award Number: COV20/00617
DS Minerva
RD 24 abr 2026