On the Stability and Equilibrium Points of Multistaged SI (n) R Epidemic Models

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 subpopulations, each one acting at the exposed subpopulation of the next infectious stage in a cascade global disposal where each infectious population acts as the exposed subpopulation of the next infectious stage. The model also has internal delays which characterize the time intervals of the coupling of the susceptible dynamics with the infectious populations of the various cascade infectious stages. Since the susceptible subpopulation is common, and then unique, to all the infectious stages, its coupled dynamic action on each of those stages is modeled with an increasing delay as the infectious stage index increases from 1 to n. The physical interpretation of the model is that the dynamics of the disease exhibits different stages in which the infectivity and the mortality rates vary as the individual numbers go through the process of recovery, each stage with a characteristic average time.

Convergence Properties and Fixed Points of Two General Iterative Schemes with Composed Maps in Banach Spaces with Applications to Guaranteed Global Stability

This paper investigates the boundedness and convergence properties of two general iterative processes which involve sequences of self-mappings on either complete metric or Banach spaces. The sequences of self-mappings considered in the first iterative scheme are constructed by linear combinations of a set of self-mappings, each of them being a weighted version of a certain primary self-mapping on the same space. The sequences of self-mappings of the second iterative scheme are powers of an iteration-dependent scaled version of the primary self-mapping. Some applications are also given to the important problem of global stability of a class of extended nonlinear polytopic-type parameterizations of certain dynamic systems.

Fixed and Best Proximity Points of Cyclic Jointly Accretive and Contractive Self-Mappings

p(>= 2)-cyclic and contractive self-mappings on a set of subsets of a metric space which are simultaneously accretive on the whole metric space are investigated. The joint fulfilment of the p-cyclic contractiveness and accretive properties is formulated as well as potential relationships with cyclic self-mappings in order to be Kannan self-mappings. The existence and uniqueness of best proximity points and fixed points is also investigated as well as some related properties of composed self-mappings from the union of any two adjacent subsets, belonging to the initial set of subsets, to themselves.

Best Proximity Points of Generalized Semicyclic Impulsive Self-Mappings: Applications to Impulsive Differential and Difference Equations

This paper is devoted to the study of convergence properties of distances between points and the existence and uniqueness of best proximity and fixed points of the so-called semicyclic impulsive self-mappings on the union of a number of nonempty subsets in metric spaces. The convergences of distances between consecutive iterated points are studied in metric spaces, while those associated with convergence to best proximity points are set in uniformly convex Banach spaces which are simultaneously complete metric spaces. The concept of semicyclic self-mappings generalizes the well-known one of cyclic ones in the sense that the iterated sequences built through such mappings are allowed to have images located in the same subset as their pre-image. The self-mappings under study might be in the most general case impulsive in the sense that they are composite mappings consisting of two self-mappings, and one of them is eventually discontinuous. Thus, the developed formalism can be applied to the study of stability of a class of impulsive differential equations and that of their discrete counterparts. Some application examples to impulsive differential equations are also given.

Energy Supply and the Sustainability of Endogenous Growth

29 p.

Theoretical and experimental absorption spectra study of [(FeTPPbipy]·)n provided by TD-DFT calculations

Comunicación a congreso (póster): 11th European Biological Inorganic Chemistry Conference EUROBIC 11. 12-16 September, 2012 - Granada (Spain)

Travellers' Types

This paper uses subjects’ self-reported justifications to explain discrepancies between observed heterogeneous behavior and the unique equilibrium prediction in a one-shot traveler’s dilemma experiment (TD). Principal components (PC) analysis suggests that iterative reasoning, aspiration levels, competitive behavior, attitudes towards risk and penalties and focal points may be behind different choices. Such reasons are coherent with same subjects’ behavior in other tests and experiments in which these particular issues are prominent. Overall, we identify types of subjects whose motivations are consistent across tasks.

Relaciones comerciales entre puertos franceses y guipuzcoanos en las décadas finales del siglo XVI y la primera mitad del siglo XVII: síntoma de vitalidad económica

[ES]El presente trabajo presenta una fuente documental infrautilizada, la de los libros de manifestaciones, que representa un interesantísimo instrumento de estudio para el conocimiento de la realidad comercial e industrial de la Guipúzcoa de los siglos XVI y XVII. Esta documentación permite matizar algunas de las afirmaciones que durante décadas han venido marcando la historiografía vasca sobre la tan manida “crisis del siglo XVII”, más en consonancia con los criterios que en los últimos años se vienen imponiendo en los ámbitos español y europeo. Las relaciones comerciales con puertos, principalmente franceses, que se pueden seguir a través de las mencionadas fuentes permiten seguir los fluidos intercambios y las llegadas de cereales y bastimentos, así como la salida de hierro y moneda desde algunos de los principales puertos guipuzcoanos. Una de las principales conclusiones es que la exportación de hierro a los puertos franceses tuvo continuidad a fines del siglo XVI y principios del siglo XVII

Textos antiguos vascos en Internet

Bilbao, Gidor y Ricardo Gómez, «Textos antiguos vascos en Internet», en Humanidades Digitales: desafíos, logros y perspectivas de futuro, Sagrario López Poza y Nieves Pena Sueiro (editoras), Janus [en línea], Anexo 1 (2014), 111-121, publicado el 11/04/2014, consultado el 12/04/2014. URL: .

New climate scenario framework implementation in the GCAM integrated assessment model

48 p.

Efficiency vs. Stability in a Mixed Network Formation Model

Documentos de Trabajo

The impact of liberalizing cost-saharing on basic models of network formation

This paper studies the impact of "liberalizing " the cost-sharing of links on some basic models of network formation. This is done in a setting where both doubly supported and singly supported links are possible, and which includes the two seminal models of network formation by Jackson and Wolinsky and Bala and Goyal as extreme cases. In this setting, the notion of pairwise stability is extended and it is proved that liberalizing cost-sharing for doubly supported links widens the range of values of the parameters where the efficient networks formed by such type of links are pairwise stable, while the range of values of the parameters where the efficient networks formed by singly supported links are pairwise stable shrinks, but the region where the latter are e¢ cient and pairwise stable remains the same.