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The Impact of Help-Seeking for Depression: A Mathematical Model
(2022)
For years and with the Covid-19 pandemic, mental illnesses such as depression have emerged. According to the World Health Organization, an average of 5\% of the population in a country suffers from depression. The ...
Local divisibility and model completeness of a theory of real closed rings
Divisibilité locale et modèle complétude en théorie des anneaux réels-clos
(2021-01)
Let T∗ be the theory of lattice-ordered rings convex in von Neumann regular real closed f-rings, without minimal idempotents (non zero) that are divisible-projectable and sc-regular. I introduce a binary relation describing ...
Definable Additive Subgroups of Partial Differential Fields of Characteristic Zero with an Automorphism
(2020-10-19)
Abstract.The theory of partial differential fields of characteristic zero withan automorphism has a model companion denoted DCFmA. This theory isnot complete, but its completions are easily discribed. They are supersimpleand ...
Teorías y propiedades universales de una teoría de anillos real cerrados (Informe Final Proyecto B9128)
(2021)
Sea $T^\ast$ la teor\'{\i}a de los subanillos reticulados que son convexos en los $f$-anillos von Neumann regulares real cerrados, y que adem\'as no tienen elementos idempotentes minimales (no-cero) y que son divisible-p ...
An overlapping preconditioner for 2D virtual problems posed in H(rot) with irregular subdomains
(2022)
We present a two-level overlapping Schwarz preconditioner for problems posed in H(rot) in two dimensions, that extends previous methods for Nédélec elements (triangular meshes) to general polygonal partitions (virtual ...
A basic model for the propagation of ideologies
(2022-11)
Ideas and ideologies move the world and are involved in almost every aspect of human life and society. This paper presents a mathematical model for the propagation of two different ideologies in a group of people that could ...
Models of torsors over affine spaces
(2019)
Let X := A n R be the n-dimensional affine space over a discrete valuation ring R with fraction field K. We prove that any pointed torsor Y over A n K under the action of an affine finite-type group scheme can be extended ...
The chirality theorem
(2018-03)
We show how chirality of the weak interactions stems from string independence in the string-local formalism of quantum field theory.
Transmission dynamics of Dengue in Costa Rica: The role of hospitalizations
Dinámica de la transmisión de dengue en Costa Rica: El rol de las hospitalizaciones
(2019-12)
For decades, dengue virus has caused major problems for public health officials in tropical and subtropical countries around the world. We construct a compartmental model that includes the role of hospitalized individuals ...
A partial differential equation model with age-structure and nonlinear recidivism: Conditions for a backward bifurcation and a general numerical implementation
(2019-12-15)
We formulate an age-structured three-staged nonlinear partial differential equation model that features nonlinear recidivism to the infected (infectious) class from the temporarily recovered class. Equilibria are computed, ...