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Stability analysis and observer design for discrete-time SEIR epidemic models
Ibeas Hernández, Asier 
; De la Sen Parte, Manuel ; ; Zamani, Iman (Springer International Publishing, 2015-04-17)
; De la Sen Parte, Manuel ; ; Zamani, Iman (Springer International Publishing, 2015-04-17)
This paper applies Micken's discretization method to obtain a discrete-time SEIR epidemic model. The positivity of the model along with the existence and stability of equilibrium points is discussed for the discrete-time ...
A Data Dropout Compensation Algorithm Based on the Iterative Learning Control Methodology for Discrete-Time Systems
; De la Sen Parte, Manuel ; Ibeas Hernández, Asier (Hindawi Publishing Corporation, 2015)
; Ibeas Hernández, Asier (Hindawi Publishing Corporation, 2015)
This paper deals with the convergence of a remote iterative learning control system subject to data dropouts. The system is composed by a set of discrete-time multiple input-multiple output linear models, each one with its ...
On an SEIR Epidemic Model with Vaccination of Newborns and Periodic Impulsive Vaccination with Eventual On-Line Adapted Vaccination Strategies to the Varying Levels of the Susceptible Subpopulation
Etxeberria Etxaniz, Malen; ; De la Sen Parte, Manuel (MDPI, 2020-11-23)
(MDPI, 2020-11-23)
This paper investigates a susceptible-exposed-infectious-recovered (SEIR) epidemic model with demography under two vaccination effort strategies. Firstly, the model is investigated under vaccination of newborns, which is ...
On a Discrete SEIR Epidemic Model with Exposed Infectivity, Feedback Vaccination and Partial Delayed Re-Susceptibility
De la Sen Parte, Manuel ; ; Ibeas Hernández, Asier (MDPI, 2021-03-02)
; ; 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 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 ; (MDPI, 2021-09-06)
; Ibeas Hernández, Asier ; (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 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 ; (MDPI, 2022-01-28)
; Ibeas Hernández, Asier ; (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 the Stability and Equilibrium Points of Multistaged SI (n) R Epidemic Models
Nistal Riobello, Raúl ; De la Sen Parte, Manuel ; ; Ibeas Hernández, Asier ; Garrido Hernández, Aitor Josu (Hindawi Publishing, 2015)
; De la Sen Parte, Manuel ; ; Ibeas Hernández, Asier ; Garrido Hernández, Aitor Josu (Hindawi Publishing, 2015)
This paper relies on the concept of next generation matrix defined ad hoc for a new proposed extended SEIR model referred to as SI(n)R-model to study its stability. The model includes n successive stages of infectious ...
A Modelization of the Propagation of COVID-19 in Regions of Spain and Italy with Evaluation of the Transmission Rates Related to the Intervention Measures
Nistal Riobello, Raúl ; De la Sen Parte, Manuel ; Gabirondo Aranguren, Jon ; ; Garrido Hernández, Aitor Josu ; Garrido Hernández, Izaskun (MDPI, 2021-02-05)
; De la Sen Parte, Manuel ; Gabirondo Aranguren, Jon ; ; Garrido Hernández, Aitor Josu ; Garrido Hernández, Izaskun (MDPI, 2021-02-05)
Two discrete mathematical SIR models (Susceptible-Infectious-Recovered) are proposed for modelling the propagation of the SARS-CoV-2 (COVID-19) through Spain and Italy. One of the proposed models is delay-free while the ...
On a Discrete SEIR Epidemic Model with Two-Doses Delayed Feedback Vaccination Control on the Susceptible
De la Sen Parte, Manuel ; ; Ibeas Hernández, Asier ; Nistal Riobello, Raúl (MDPI, 2021-04-18)
; ; 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 ; ; 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. ...