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Supervision of the Infection in an SI (SI-RC) Epidemic Model by Using a Test Loss Function to Update the Vaccination and Treatment Controls
De la Sen Parte, Manuel 
; Ibeas Hernández, Asier ; Nistal Riobello, Raúl ; ; Garrido Hernández, Aitor Josu (MDPI, 2020-10-15)
; Ibeas Hernández, Asier ; Nistal Riobello, Raúl ; ; Garrido Hernández, Aitor Josu (MDPI, 2020-10-15)
This paper studies and proposes some supervisory techniques to update the vaccination and control gains through time in a modified SI (susceptible-infectious) epidemic model involving the susceptible and subpopulations. ...
On a New Discrete SEIADR Model with Mixed Controls: Study of Its Properties
Nistal Riobello, Raúl ; De la Sen Parte, Manuel ; ; Ibeas Hernández, Asier (MDPI, 2018-12-25)
; De la Sen Parte, Manuel ; ; Ibeas Hernández, Asier (MDPI, 2018-12-25)
A new discrete SEIADR epidemic model is built based on previous continuous models. The model considers two extra subpopulation, namely, asymptomatic and lying corpses on the usual SEIR models. It can be of potential interest ...
Some Formal Results on Positivity, Stability, and Endemic Steady-State Attainability Based on Linear Algebraic Tools for a Class of Epidemic Models with Eventual Incommensurate Delays
De la Sen Parte, Manuel ; Nistal Riobello, Raúl ; ; Ibeas Hernández, Asier (Hindawi, 2019-07-08)
; Nistal Riobello, Raúl ; ; Ibeas Hernández, Asier (Hindawi, 2019-07-08)
A formal description of typical compartmental epidemic models obtained is presented by splitting the state into an infective substate, or infective compartment, and a noninfective substate, or noninfective compartment. A ...
On the Use of Entropy Issues to Evaluate and Control the Transients in Some Epidemic Models
De la Sen Parte, Manuel ; Nistal Riobello, Raúl ; Ibeas Hernández, Asier ; Garrido Hernández, Aitor Josu (MDPI, 2020-05-09)
; Nistal Riobello, Raúl ; Ibeas Hernández, Asier ; Garrido Hernández, Aitor Josu (MDPI, 2020-05-09)
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 ...
On the Entropy of Events under Eventually Global Inflated or Deflated Probability Constraints. Application to the Supervision of Epidemic Models under Vaccination Controls
De la Sen Parte, Manuel ; Ibeas Hernández, Asier ; Nistal Riobello, Raúl (MDPI, 2020-02-29)
; Ibeas Hernández, Asier ; Nistal Riobello, Raúl (MDPI, 2020-02-29)
This paper extends the formulation of the Shannon entropy under probabilistic uncertainties which are basically established in terms or relative errors related to the theoretical nominal set of events. Those uncertainties ...
An SIRS Epidemic Model Supervised by a Control System for Vaccination and Treatment Actions Which Involve First-Order Dynamics and Vaccination of Newborns
; De la Sen Parte, Manuel ; Nistal Riobello, Raúl (MDPI, 2021-12-23)
; Nistal Riobello, Raúl (MDPI, 2021-12-23)
This paper analyses an SIRS epidemic model with the vaccination of susceptible individuals and treatment of infectious ones. Both actions are governed by a designed control system whose inputs are the subpopulations of the ...
On a New Epidemic Model with Asymptomatic and Dead-Infective Subpopulations with Feedback Controls Useful for Ebola Disease
De la Sen Parte, Manuel ; Ibeas Hernández, Asier ; ; Nistal Riobello, Raúl (Hindawi Publishing Corporation, 2017-02-19)
; Ibeas Hernández, Asier ; ; Nistal Riobello, Raúl (Hindawi Publishing Corporation, 2017-02-19)
This paper studies the nonnegativity and local and global stability properties of the solutions of a newly proposed SEIADR model which incorporates asymptomatic and dead-infective subpopulations into the standard SEIR model ...
A Study on COVID-19 Incidence in Europe through Two SEIR Epidemic Models Which Consider Mixed Contagions from Asymptomatic and Symptomatic Individuals
Nistal Riobello, Raúl ; De la Sen Parte, Manuel ; Gabirondo Aranguren, Jon ; ; Garrido Hernández, Aitor Josu ; Garrido Hernández, Izaskun (MDPI, 2021-07-06)
; De la Sen Parte, Manuel ; Gabirondo Aranguren, Jon ; ; Garrido Hernández, Aitor Josu ; Garrido Hernández, Izaskun (MDPI, 2021-07-06)
The impact of the SARS-CoV-2 (COVID-19) on the world has been partially controlled through different measures of social isolation and prophylaxis. Two new SEIR (Susceptible-Exposed-Infected-Recovered) models are proposed ...
On the Properties of a Class of Impulsive Competition Beverton–Holt Equations
De la Sen Parte, Manuel ; Ibeas Hernández, Asier ; ; Garrido Hernández, Aitor Josu ; Garrido Hernández, Izaskun (MDPI, 2021-09-28)
; Ibeas Hernández, Asier ; ; Garrido Hernández, Aitor Josu ; Garrido Hernández, Izaskun (MDPI, 2021-09-28)
This paper is devoted to a type of combined impulsive discrete Beverton–Holt equations in ecology when eventual discontinuities at sampling time instants are considered. Such discontinuities could be interpreted as impulses ...
Equivalence between the Existence of Best Proximity Points and Fixed Points for Some Classes of Proximal Contractions
; ; De la Sen Parte, Manuel (MDPI, 2022-09-13)
(MDPI, 2022-09-13)
In the year 2014, Almeida et al. introduced a new class of mappings, namely, contractions of Geraghty type. Additionally, in the year 2021, Beg et al. introduced the concept of generalized F-proximal contraction of the ...