Katia Vogt-Geisse

Katia Vogt-Geisse
Universidad Adolfo Ibáñez · Facultad de Ingeniería y Ciencias, Sede Peñalolén, Santiago

PhD in Mathematics (Mathematical Epidemiology), Purdue University

About

15
Publications
2,484
Reads
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141
Citations
Citations since 2017
11 Research Items
131 Citations
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201720182019202020212022202301020304050
Additional affiliations
January 2015 - present
Universidad Adolfo Ibáñez
Position
  • Instructor
August 2009 - December 2014
Purdue University
Position
  • Research and Teaching Assistant
Education
August 2009 - December 2014
Purdue University
Field of study
  • Mathematics - Mathematical Epidemiology
March 2000 - December 2005
Pontificia Universidad Católica de Chile
Field of study
  • Mathematics

Publications

Publications (15)
Article
Full-text available
Since the detection of the first case of COVID-19 in Chile on March 3 rd , 2020, a total of 513,188 cases, including ~14,302 deaths have been reported in Chile as of November 2 nd , 2020. Here, we estimate the reproduction number throughout the epidemic in Chile and study the effectiveness of control interventions especially the effectiveness of lo...
Article
Full-text available
Modeling human behavior within mathematical models of infectious diseases is a key component to understand and control disease spread. We present a mathematical compartmental model of Susceptible–Infectious–Removed to compare the infected curves given by four different functional forms describing the transmission rate. These depend on the distance...
Article
Full-text available
The classical SEIR model, being an autonomous system of differential equations, has important limitations when representing a pandemic situation. Particularly, the geometric unimodal shape of the epidemic curve is not what is generally observed. This work introduces the βSEIR model, which adds to the classical SEIR model a differential law to model...
Article
Full-text available
Human interactions and perceptions about health risk are essential to understand the evolution over the course of a pandemic. We present a Susceptible-Exposed-Asymptomatic-Infectious-Recovered-Susceptible mathematical model with quarantine and social-distance-dependent transmission rates, to study COVID-19 dynamics. Human activities are split acros...
Article
Full-text available
Malaria remains a major health problem in many parts of the world, including Sub-Saharan Africa. Insecticide-treated nets, in combination with other control measures, have been effective in reducing malaria incidence over the past two decades. Nevertheless, there are concerns about improper handling and misuse of nets, producing possible health eff...
Preprint
Full-text available
In this article we describe special type of mathematical problems that may help develop teaching methods that motivate students to explore patterns, formulate conjectures and find solutions without only memorizing formulas and procedures. These are problems that either their solutions do not make sense in a real life context and/or provide a contra...
Preprint
Full-text available
The classical SEIR model, being an autonomous system of differential equations, has important limitations when representing a pandemic situation. Particularly, the geometric unimodal shape of the epidemic curve is not what is generally observed. This work introduces the βSEIR model, which adds to the classical SEIR model a differential law to model...
Article
A deterministic model for the effects on disease prevalence of the most advanced pre-erythrocytic vaccine against malaria is proposed and studied. The model includes two vaccinated classes that correspond to initially vaccinated and booster dose vaccinated individuals. These two classes are structured by time-since-initial-vaccination (vaccine-age)...
Article
We analyze the 2019 Chilean social unrest episode, consisting of a sequence of events, through the lens of an epidemic-like model that considers global contagious dynamics. We adjust the parameters to the Chilean social unrest aggregated public data available from the Undersecretary of Human Rights and observe that the number of violent events foll...
Preprint
Full-text available
Since the detection of first case of COVID-19 in Chile on March 3 rd , 2020, a total of 301019 cases including 6434 deaths have been reported in Chile as of July 7 th , 2020. In this manuscript we estimate the reproduction number during the early transmission phase in Chile and study the effectiveness of control interventions by conducting short-te...
Preprint
This article discusses the process of creating, implementing and experiencing Flipped Learning in a Multivariable Calculus course for second year engineering students. We describe the construction of the teaching material, consisting of short videos for pre-class preparation and aligned worksheets for in-class dynamics, and the activities that were...
Article
Full-text available
Evidence suggests a strong correlation between the prevalence of HSV-2 (genital herpes) and the perseverance of the HIV epidemic. HSV-2 is an incurable viral infection, characterized by periodic reactivation. We construct a model of the co-infection dynamics between the two diseases by incorporating a time-since-infection variable to track the alte...
Article
An age-structured mathematical model for malaria is presented. The model explicitly includes the human and mosquito populations, structured by chronological age of humans. The infected human population is divided into symptomatic infectious, asymptomatic infectious and asymptomatic chronic infected individuals. The original partial differential equ...
Article
When a new pandemic influenza strain has been identified, mass-production of vaccines can take several months, and antiviral drugs are expensive and usually in short supply. Social distancing measures, such as school closures, thus seem an attractive means to mitigate disease spread. However, the transmission of influenza is seasonal in nature, and...
Article
When resources are limited, measures to control an incipient influenza pandemic must be carefully considered. Because several months are needed to mass-produce vaccines once a new pandemic strain has been identified, antiviral drugs are often considered the first line of defense in a pandemic situation. Here we use an SIR disease model with periodi...

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