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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. ...
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 ...
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 ...