activity
20172024
most citedA Partial Differential Equation Model with Age-Structure and Nonlinear Recidivism: Conditions for a Backward Bifurcation and a General Numerical Implementation

16 citations · 34 across the 15 of their papers we have counts for

collaborators

16 papers

q-bio.PE2024

Stochastic two-patch epidemic model with nonlinear recidivism

Juan G. Calvo, Mario I. Simoy, Juan P. Aparicio +2

We develop a stochastic two-patch epidemic model with nonlinear recidivism to investigate infectious disease dynamics in heterogeneous populations. Extending a deterministic framew…

math.NA2023

Robust domain decomposition methods for high-contrast multiscale problems on irregular domains with virtual element discretizations

Juan G. Calvo, Juan Galvis

Our research focuses on the development of domain decomposition preconditioners tailored for second-order elliptic partial differential equations. Our approach addresses two major…

stat.AP2023★ 11 cited

Bayesian spatio-temporal model with INLA for dengue fever risk prediction in Costa Rica

Shu-Wei Chou-Chen, Luis A. Barboza, Paola Vásquez +4

Due to the rapid geographic spread of the Aedes mosquito and the increase in dengue incidence, dengue fever has been an increasing concern for public health authorities in tropical…

math.DS2023★ 2 cited

A nonlinear relapse model with disaggregated contact rates: analysis of a forward-backward bifurcation

Jimmy Calvo-Monge, Fabio Sanchez, Juan G. Calvo +1

We developed a nonlinear differential equation model to explore the dynamics of relapse phenomena. Our incidence rate function is formulated, taking inspiration from recent adaptiv…

q-bio.PE2023

Common patterns between dengue cases, climate, and local environmental variables in Costa Rica: A Wavelet Approach

Yury E. Garcia, Shu-Wei Chou-Chen, Luis A. Barboza +6

Throughout history, prevention and control of dengue transmission have challenged public health authorities worldwide. In the last decades, the interaction of multiple factors, suc…

math.DS2022

A mathematical model with nonlinear relapse: conditions for a forward-backward bifurcation

Fabio Sanchez, Jorge Arroyo-Esquivel, Juan Gabriel Calvo

We constructed a Susceptible-Addicted-Reformed model and explored the dynamics of nonlinear relapse in the Reformed population. The transition from susceptible considered {\it at-r…

cs.CY2022★ 1 cited

Assessing dengue fever risk in Costa Rica by using climate variables and machine learning techniques

Luis A. Barboza, Shu-Wei Chou, Paola Vásquez +4

Dengue fever is a vector-borne disease mostly endemic to tropical and subtropical countries that affect millions every year and is considered a significant burden for public health…

q-bio.PE2021

Projecting the Impact of Covid-19 Variants and Vaccination Strategies in Disease Transmission using a Multilayer Network Model in Costa Rica

Yury E. García, Gustavo Mery, Paola Vásquez +4

For countries starting to receive steady supplies of vaccines against SARS-CoV-2, the course of Covid-19 for the following months will be determined by the emergence of new variant…

physics.soc-ph2021

A multilayer network model of Covid-19: implications in public health policy in Costa Rica

Fabio Sanchez, Juan G. Calvo, Gustavo Mery +5

Successful partnerships between researchers, experts and public health authorities has been critical to navigate the challenges of the Covid-19 pandemic worldwide. In Costa Rica, w…

q-bio.PE2021★ 1 cited

Wavelet Analysis of Dengue Incidence and its Correlation with Weather and Vegetation Variables in Costa Rica

Yury E. García, Luis A. Barboza, Fabio Sanchez +2

Dengue represents a serious public health problem in tropical and subtropical regions worldwide. The number of dengue cases and its geographical expansion has increased in recent d…

physics.soc-ph2021★ 2 cited

A Multilayer Network Model implementation for Covid-19

Juan G. Calvo, Fabio Sanchez, Luis A. Barboza +2

We present a numerical implementation for a multilayer network used to model the transmission of Covid-19 or other diseases with a similar transmission mechanism. The model incorpo…

stat.AP2021★ 1 cited

The role of mobility and sanitary measures on Covid-19 in Costa Rica, March through July 2020

Luis A. Barboza, Paola Vásquez, Gustavo Mery +5

The aim of this paper is to infer the effects that changes on human mobility had on the transmission dynamics during the first four months of the SARS-CoV-2 outbreak in Costa Rica,…

q-bio.PE2019

Dengue model with early-life stage of vectors and age-structure within host

Fabio Sanchez, Juan G. Calvo

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 vect…

q-bio.PE2019

A two-patch epidemic model with nonlinear reinfection

Juan G. Calvo, Alberto Hernández, Mason A. Porter +1

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…

q-bio.PE2018

The role of short-term immigration on disease dynamics: An SIR model with age-structure

Fabio Sanchez, Juan Gabriel Calvo

We formulate an age-structured nonlinear partial differential equation model that features short-term immigration effects in a population. Individuals can immigrate into the popula…

math.DS2017★ 16 cited

A Partial Differential Equation Model with Age-Structure and Nonlinear Recidivism: Conditions for a Backward Bifurcation and a General Numerical Implementation

Fabio Sanchez, Juan G. Calvo, Esteban Segura +1

\noindent We formulate an age-structured three-staged nonlinear partial differential equation model that features {\it nonlinear} recidivism to the infected ({\it infectious}) clas…