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On a Discrete SEIR Epidemic Model with Exposed Infectivity, Feedback Vaccination and Partial Delayed Re-Susceptibility
De la Sen Parte, Manuel 
; Alonso Quesada, Santiago ; Ibeas Hernández, Asier (MDPI, 2021-03-02)
; Alonso Quesada, Santiago ; Ibeas Hernández, Asier (MDPI, 2021-03-02)
A new discrete Susceptible-Exposed-Infectious-Recovered (SEIR) epidemic model is proposed, and its properties of non-negativity and (both local and global) asymptotic stability of the solution sequence vector on the first ...
On Confinement and Quarantine Concerns on an SEIAR Epidemic Model with Simulated Parameterizations for the COVID-19 Pandemic
De la Sen Parte, Manuel ; Ibeas Hernández, Asier ; Agarwal, Ravi P. (MDPI, 2020-10-07)
; Ibeas Hernández, Asier ; Agarwal, Ravi P. (MDPI, 2020-10-07)
This paper firstly studies an SIR (susceptible-infectious-recovered) epidemic model without demography and with no disease mortality under both total and under partial quarantine of the susceptible subpopulation or of both ...
On the Reachability of a Feedback Controlled Leontief-Type Singular Model Involving Scheduled Production, Recycling and Non-Renewable Resources
De la Sen Parte, Manuel ; Ibeas Hernández, Asier ; Alonso Quesada, Santiago (MDPI, 2021-09-06)
; Ibeas Hernández, Asier ; Alonso Quesada, Santiago (MDPI, 2021-09-06)
This paper proposes and studies the reachability of a singular regular dynamic discrete Leontief-type economic model which includes production industries, recycling industries, and non-renewable products in an integrated ...
On a Controlled Se(Is)(Ih)(Iicu)AR Epidemic Model with Output Controllability Issues to Satisfy Hospital Constraints on Hospitalized Patients
De la Sen Parte, Manuel ; Ibeas Hernández, Asier (MDPI, 2020-11-03)
; Ibeas Hernández, Asier (MDPI, 2020-11-03)
An epidemic model, the so-called SE(Is)(Ih)(Iicu)AR epidemic model, is proposed which splits the infectious subpopulation of the classical SEIR (Susceptible-Exposed-Infectious-Recovered) model into four subpopulations, ...
On the Supervision of a Saturated SIR Epidemic Model with Four Joint Control Actions for a Drastic Reduction in the Infection and the Susceptibility through Time
De la Sen Parte, Manuel ; Ibeas Hernández, Asier ; Alonso Quesada, Santiago (MDPI, 2022-01-28)
; Ibeas Hernández, Asier ; Alonso Quesada, Santiago (MDPI, 2022-01-28)
This paper presents and studies a new epidemic SIR (Susceptible–Infectious–Recovered) model with susceptible recruitment and eventual joint vaccination efforts for both newborn and susceptible individuals. Furthermore, ...
On a Discrete SEIR Epidemic Model with Two-Doses Delayed Feedback Vaccination Control on the Susceptible
De la Sen Parte, Manuel ; Alonso Quesada, Santiago ; Ibeas Hernández, Asier ; Nistal Riobello, Raúl (MDPI, 2021-04-18)
; Alonso Quesada, Santiago ; Ibeas Hernández, Asier ; Nistal Riobello, Raúl (MDPI, 2021-04-18)
A new discrete susceptible-exposed-infectious-recovered (SEIR) epidemic model is presented subject to a feedback vaccination effort involving two doses. Both vaccination doses, which are subject to a non-necessarily identical ...
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 ; Alonso Quesada, Santiago ; Garrido Hernández, Aitor Josu (MDPI, 2020-10-15)
; Ibeas Hernández, Asier ; Nistal Riobello, Raúl ; Alonso Quesada, Santiago ; 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 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 ...
On the Properties of a Class of Impulsive Competition Beverton–Holt Equations
De la Sen Parte, Manuel ; Ibeas Hernández, Asier ; Alonso Quesada, Santiago ; Garrido Hernández, Aitor Josu ; Garrido Hernández, Izaskun (MDPI, 2021-09-28)
; Ibeas Hernández, Asier ; Alonso Quesada, Santiago ; 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 ...