Search
Now showing items 1-10 of 19
A mathematical model with nonlinear relapse: conditions for a forward-backward bifurcation
(2023)
We constructed a Susceptible-Addicted-Reformed model and explored the dynamics of nonlinear relapse in the Reformed population. The transition from susceptible considered at-risk is modeled using a strictly decreasing ...
A nonlinear relapse model with disaggregated contact rates: Analysis of a forward-backward bifurcation
(2023-09)
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 ...
A two-patch epidemic model with nonlinear reinfection
Un modelo epidémico de dos poblaciones con reinfección no lineal
(2020)
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 ...
A multilayer network model of Covid-19: implications in public health policy in Costa Rica
(2022-05)
Successful partnerships between researchers, experts, and public health authorities have been critical to navigate the challenges of the Covid-19 pandemic worldwide. In this collaboration, mathematical models have played ...
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 ...
Modeling the university drinking culture phenomenon
(2022-11-03)
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 ...
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 ...
Asociación entre la introducción de la vacuna contra el COVID-19 y el Índice Mensual de Actividad Económica en Costa Rica
(2023)
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 ...
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 ...
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 ...