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The role of short-term immigration on disease dynamics: An SIR model with age-structure
El rol de la inmigración en periodos cortos sobre la dinámica de enfermedades: un modelo sir con estructura de edad
(2019-02-18)
We formulate an age-structured nonlinear partial differential equation model that features short-term immigration effects in a population. Individuals can immigrate into the population as any of the three stages in the ...
Vertical Transmission in a Two-Strain Model of Dengue Fever
(2014)
The role of vertical transmission in vectors has rarely been addressed in the study of dengue dynamics and control, in part because it was not considered a critical population-level factor. In this paper, we apply the ...
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 ...
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 ...
Climate-based descriptive models of dengue fever: The 2002 epidemic in Colima, Mexico
(2006-06)
Dengue is a public health problem on the rise in many tropical regions and affects approximately 100 million people every year worldwide. In this paper, the authors retrospectively assess the association between five ...
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, ...
A Two-Patch Epidemic Model with Nonlinear Reinfection
Un modelo epidémico de dos poblaciones con reinfección no lineal
(2019-12)
The propagation of infectious diseases and its impact on individuals play a major role in disease dynamics, and it is important to incorporate population heterogeneity into efforts to study diseases. As a simplistic but ...
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 ...
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 ...
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 ...