Now showing items 1-10 of 22
Modeling the university drinking culture phenomenon
We study a susceptible-drinker-recovered (SDR) model for the drinking culture phenomenon in university atmospheres. We find conditions for this model to have extinction and endemic equilibrium points. We analyze different ...
Asociación entre la introducción de la vacuna contra el COVID-19 y el Índice Mensual de Actividad Económica en Costa Rica
Este trabajo es un esfuerzo por lograr asociar el comportamiento de la economía de Costa Rica afectada por las restricciones impuestas por la pandemia COVID-19 y la introducción de la vacuna contra el virus causante ...
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
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 ...
A nonlinear relapse model with disaggregated contact rates: Analysis of a forward-backward bifurcation
Throughout the progress of epidemic scenarios, individuals in different health classes are expected to have different average daily contact behavior. This contact heterogeneity has been studied in recent adaptive models ...
Vertical Transmission in a Two-Strain Model of Dengue Fever
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 ...
The Impact of Help-Seeking for Depression: A Mathematical Model
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 ...
Infection model for analyzing biological control of coffee rust using bacterial anti-fungal compounds
Coffee rust is one of the main diseases that affect coffee plantations worldwide (Cressey, 2013 ). This causes an important economic impact in the coffee production industry in countries where coffee is an important ...
A Two-Patch Epidemic Model with Nonlinear Reinfection
Un modelo epidémico de dos poblaciones con reinfección no lineal
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 ...
Parameter estimates of the 2016-2017 Zika outbreak in Costa Rica: An Approximate Bayesian Computation (ABC) approach
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 ...
A partial differential equation model with age-structure and nonlinear recidivism: Conditions for a backward bifurcation and a general numerical implementation
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, ...