In this paper, an age-structured epidemiological process is considered. The disease model is based on a SIR model with unknown parameters. We addressed two important issues to analyzing the model and its parameters. One issue is concerned with the theoretical existence of unique solution, the identifiability problem. The second issue is how to estimate the parameters in the model. We propose an iterative algorithm to study the identifiability of the system and a method to estimate the parameters which are identifiable. A least squares approach based on a finite set of observations helps us to estimate the initial values of the parameters. Finally, we test the proposed algorithms.
This paper presents the use of an iteration method to solve the identifiability problem for a class of discretized linear partial differential algebraic equations. This technique consists in replacing the partial derivatives in the PDAE by differences and analyzing the difference algebraic equations obtained. For that, the theory of discrete singular systems, which involves Drazin inverse matrix, is used. This technique can also be applied to other differential equations in mathematical physics.
We analyze the evolution of an infectious disease by combining different groups of a population when the route of transmission is via encounters with free-living virulent organisms that can survive for a long time outside the individual. This study involves matrix analysis of lower triangular block matrices and some of their spectral properties. We propose an N-periodic control strategy in order to stabilize the disease around the disease-free equilibrium point.
El mercado laboral actual es cada vez más exigente y ello hace que a los profesionales se les exija un mayor nivel de adquisición de competencias en sus tres dimensiones -cognitiva, instrumental y actitudinal- para la resolución de problemas avanzados y la toma de decisiones eficiente. En este contexto, la Universitat Politècnica de València (UPV) apuesta por integrar la metodología docente de Aprendizaje Basado en Proyectos (ABP) en sus titulaciones de grado para fomentar el aprendizaje por competencias. Distintos estudios han demostrado que son los métodos activos, entre los que se encuentra el ABP, los más compatibles y coherentes con la formación por competencias. El objetivo del presente artículo es describir el proyecto de incorporación de ABP en las asignaturas de 3º y 4º curso de los seis grados del Campus de Alcoy de la UPV. Para ello, se detalla el contexto en el cual se desarrollará la innovación y mejora educativa, así como los objetivos que se persiguen, en qué consiste dicha innovación y cuáles son los resultados obtenidos hasta el momento así como cuáles son las líneas futuras de trabajo.
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