Open AccessOn some mathematical models tracking epidemics spreading
Author(s) -
José M. Cerveró
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2038/1/012006
Subject(s) - perspective (graphical) , class (philosophy) , statistical mechanics , quantum , computer science , statistical physics , mathematics , theoretical physics , physics , quantum mechanics , artificial intelligence
A complete integrability of one SEIRD-like dynamical system is presented. Many models like this have been used nowadays in epidemiology and several other descriptions of virological spreading. In this paper we show that one of them is exactly solvable. Only one almost trivial condition for integrability is needed. The statistical perspective is not considered. Our solution is an exact one and the result hereby presented cast some doubts on the interest in this class of deterministic models. One entirely new avenue for tackling the problem of spreading diseases is then proposed. Curiously enough is surprisingly related to Quantum Mechanics in its non-hermitic version also called PT-Quantum Mechanics.