On some mathematical models tracking epidemics spreading

Abstract

Abstract 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.