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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 ...
A two-level overlapping Schwarz method for H(curl) in two dimensions with irregular subdomains
(2015-10-07)
A bound is obtained for the condition number of a two-level overlapping Schwarz algorithm for problems posed in H(curl) in two dimensions, where the subdomains are only assumed to be John subdomains. The coarse space is ...
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 ...
Mathematical and Statistical models as tools for the control ofmosquito-borne diseases: The experience of Costa Rica
(2021-06-25)
The modeling of infectious diseases provides valuable input in the development of mitigating strategies and implementation of public health interventions. We highlight results and current research conducted in Costa Rica ...
An overlapping preconditioner for 2D virtual problems posed in H(rot) with irregular subdomains
(2022)
We present a two-level overlapping Schwarz preconditioner for problems posed in H(rot) in two dimensions, that extends previous methods for Nédélec elements (triangular meshes) to general polygonal partitions (virtual ...
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, ...