On the use of entropy issues to evaluate and control the transients in some epidemic models
De la Sen, Manuel (Universidad del País Vasco. Instituto de Investigación y Desarrollo de Procesos)
Nistal, Raul (Universidad del País Vasco. Instituto de Investigación y Desarrollo de Procesos)
Ibeas, Asier (Universitat Autònoma de Barcelona. Departament de Telecomunicació i Enginyeria de Sistemes)
Garrido, Aitor J. (Universidad del País Vasco. Instituto de Investigación y Desarrollo de Procesos)

Date:	2020
Abstract:	This paper studies the representation of a general epidemic model by means of a first-order differential equation with a time-varying log-normal type coefficient. Then the generalization of the first-order differential system to epidemic models with more subpopulations is focused on by introducing the inter-subpopulations dynamics couplings and the control interventions information through the mentioned time-varying coefficient which drives the basic differential equation model. It is considered a relevant tool the control intervention of the infection along its transient to fight more efficiently against a potential initial exploding transmission. The study is based on the fact that the disease-free and endemic equilibrium points and their stability properties depend on the concrete parameterization while they admit a certain design monitoring by the choice of the control and treatment gains and the use of feedback information in the corresponding control interventions. Therefore, special attention is paid to the evolution transients of the infection curve, rather than to the equilibrium points, in terms of the time instants of its first relative maximum towards its previous inflection time instant. Such relevant time instants are evaluated via the calculation of an "ad hoc" Shannon's entropy. Analytical and numerical examples are included in the study in order to evaluate the study and its conclusions.
Grants:	Agencia Estatal de Investigación RTI2018-094902-B-C22 Agencia Estatal de Investigación RTI2018-094336-B-I00 Ministerio de Ciencia e Innovación COV20/01213
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Shannon entropy ; Epidemic model ; Transient behavior ; Vaccination and treatment ; Intervention controls
Published in:	Entropy, Vol. 22, Issue 5 (May 2020) , art. 534, ISSN 1099-4300

DOI: 10.3390/e22050534
PMID: 33286306

31 p, 5.0 MB

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