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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 ...
An overlapping Schwarz method for virtual element discretizations in two dimensions
(2019)
A new coarse space for domain decomposition methods is presented for nodal ellipticproblems in two dimensions. The coarse space is derived from the novel virtual elementmethods and therefore can accommodate quite irregular ...
Uniform sparse bounds for discrete quadratic phase Hilbert transforms
(2017-09)
Consider the discrete quadratic phase Hilbert Transform acting on $\ell^{2}(\mathbb{Z})$ finitely supported
functions
$$
H^{\alpha} f(n) : = \sum_{m \neq 0} \frac{e^{i\alpha m^2} f(n - m)}{m}.
$$
We prove that, ...
Quenched distributions for the maximum, minimum and local time of the Brox diffusion
(2021)
After leaving fixed the environment, which is called the quenchend case, we give explicitly the distribution function of the maximum and the minimum of the Brox diffusion at first time it reaches a barrier. We also give ...
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 ...
Virtual Coarse Spaces for Irregular Subdomain Decompositions
(2020-10-25)
On the other hand, Virtual Element Methods (VEM) [1, 12, 13] allow to handle general polygonal elements. In the case of triangular elements, VEM reduces to the usual FEM. Thus, VEM is a natural choice for constructing space ...
Dengue model with early-life stage of vectors and age-structure within host
Modelo de dengue con etapa temprana en vectores y estructura de edad en el huésped
(2019-12)
We construct an epidemic model for the transmission of dengue fever with an early-life stage in the vector dynamics and age-structure within hosts. The early-life stage of the vector is modeled via a general function that ...
Climate-Driven Statistical Models as Effective Predictors of Local Dengue Incidence in Costa Rica: A Generalized Additive Model and Random Forest Approach
Variables climáticas como predictores de la incidencia de dengue en Costa Rica: Un enfoque de modelo aditivo generalizado y bosques aleatorios
(2019-12)
Climate has been an important factor in shaping the distribution and incidence of dengue cases in tropical and subtropical countries. In CostaRica, a tropical country with distinctive micro-climates, dengue has been endemic ...
On the approximation of a virtual coarse space for domain decomposition methods in two dimensions
(2018)
A new extension operator for a virtual coarse space is presented which can be used in domain decomposition methods for nodal elliptic problems in two dimensions. In particular, a two-level overlapping Schwarz algorithm is ...