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Drinking as an epidemic - a simple mathematical model with recovery and relapse
(2007)
This chapter discusses a simple mathematical model of drinking lapse. Problem drinking is modeled as an acquired state - the result of frequent or intense interactions among individuals in three drinking states within a ...
Clustering via ant colonies: Parameter analysis and improvement of the algorithm
(2020-04-18)
An ant colony optimization approach for partitioning a set of objects is proposed. In order to minimize the intra-variance, or within sum-of-squares, of the partitioned classes, we construct ant-like solutions by a ...
Theta series and number fields: theorems and experiments
(2021-03-01)
Let d and n be positive integers and let K be a totally real number field of discriminant d and degree n. We construct a theta series $\theta_K \in \mathcal{M}_{d, n}$ where $\mathcal{M}_{d, n}$ is a space of modular forms ...
The role of mobility and sanitary measures on the delay of community transmission of COVID-19 in Costa Rica
(2021-07-21)
The aim of this paper is to infer the effects that change on human mobility had on the transmission dynamics during the first four months of the SARS-CoV-2 pandemic in Costa Rica, which could have played a role in delaying ...
Wavelet analysis of dengue incidence and its correlation with weather and vegetation variables in Costa Rica
(2021)
Dengue represents a serious public health problem in tropical and subtropical regions worldwide. The number of dengue cases and its geographical expansion has increased in recent decades, driven mostly after by social and ...
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 ...
Comparative analysis of dengue versus chikungunya outbreaks in Costa Rica
(2018-06)
For decades, dengue virus has been a cause of major public health concern in Costa Rica, due to its landscape and climatic conditions that favor the circumstances in which the vector, Aedes aegypti, thrives. The emergence ...
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, ...
Parameter estimates of the 2016-2017 Zika outbreak in Costa Rica: An Approximate Bayesian Computation (ABC) approach
(2019-03-28)
In Costa Rica, the first known cases of Zika were reported in 2016. We looked at the 2016-2017 Zika outbreak and explored the transmission dynamics using weekly reported data. A nonlinear differential equation single-outbreak ...
The role of SARS-CoV-2 testing on hospitalizations in California
(2021-12-03)
The rapid spread of the new SARS-CoV-2 virus triggered a global health crisis, disproportionately impacting people with pre-existing health conditions and particular demographic and socioeconomic characteristics. One of ...