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1-104-S-InfectionRisk
26 Aug 2021 | | Contributor(s):: Qingxia Li
This project is designed to examine differences between the exponential and logistic growth models in biology and how to apply these models in solving epidemic questions. This project was designed for an introductory section in Calculus II or a course involving ordinary differential equations,...
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SIMIODE EXPO 2021 - Minicourse M-R2 - Delay Differential Equations in Epidemiology
06 Mar 2021 | | Contributor(s):: Nsoki Mamie Mavinga
SIMIODE EXPO 2021 - Minicourse M-R2 - Nsoki Mavinga - Delay Differential Equations in Epidemiology Nsoki Mavinga, Swarthmore College, Swarthmore PA USA This was a presentation made at the SIMIODE EXPO 2021 - see program. Abstract: Many problems in epidemiology give rise to...
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2020-Winkel, Brian - Remote Teaching Module - Modeling a Nonlethal Influenza Epidemic
21 Jun 2020 | | Contributor(s):: Brian Winkel
We place here and in the Supporting Docs all the materials in support of the SIMIODE Remote Teaching Module - Modeling Nonlethal Influenza Epidemic.This module contains1) (Below and separate file in Supporting Docs) A brief Teaching Guide with an overview of the content and...
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6-016-S-PandemicModeling
13 May 2020 | | Contributor(s):: Jue Wang
The recent coronavirus outbreak has infected millions of people worldwide and spread to over 200 countries. The virus is spreading rapidly. Infectious disease modeling is an essential part of the effort to minimize the spread and help predict the likely course of an epidemic. How can we use...
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6-045-S-CholeraTranmission
19 Apr 2020 | | Contributor(s):: Urmi Ghosh-Dastidar
A recent cholera outbreak in Haiti brought public attention to this disease. Cholera, a diarrheal disease, is caused by an intestinal bacterium, and if not addressed in a timely manner may become fatal. During the project described here, the students will learn how to solve and address a...
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2001-Abramson, Guillermo - Mathematical modeling of the spread of infectious diseases. Lecture notes.
06 Apr 2020 | | Contributor(s):: Brian Winkel
Abramson, Guillermo. 2001. Mathematical modeling of the spread of infectious diseases. A series of lectures given at PANDA, UNMThis are informal notes, mostly based on the bibliography listed at the end and on recent papers in the field.Outline of introduction:The...
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2018-Nguyen, Van Kinh and Esteban A. Hernandez-Vargas - Parameter estimation in mathematical models of viral infections using R.
01 Apr 2020 | | Contributor(s):: Brian Winkel
Nguyen, Van Kinh and Esteban A. Hernandez-Vargas. 2018. Parameter estimation in mathematical models of viral infections using R. Methods Mol Biol. 1836: 531-549.See https://pubmed.ncbi.nlm.nih.gov/30151590/ .Abstract: In recent years, mathematical modeling...
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2020-Ciaroshi, Jennifer - How COVID-19 Spreads - MathModels
01 Apr 2020 | | Contributor(s):: Brian Winkel
CIAROCHI, JENNIFER. 2020. How COVID-19 and Other Infecious Diseases Spread: Mathematical Modeling. 12 March 2020. https://triplebyte.com/blog/modeling-infectious-diseases.Introduction:On December 31, 2019, the Chinese city of Wuhan reported an outbreak of a novel...
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2007-Choisy, M., J.-F. Guégan, and P. Rohani -Mathematical Modeling of Infectious Diseases Dynamics.
01 Apr 2020 | | Contributor(s):: Brian Winkel
Choisy, M., J.-F. Guégan, and P. Rohani1. 2007. Mathematical Modeling of Infectious Diseases...
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2009-Noakes, Catherine J. and P. Andrew Sleigh - Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards
29 Mar 2020 | | Contributor(s):: Brian Winkel
Noakes, Catherine J. and P. Andrew Sleigh. 2009. Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards. J. R. Soc. Interface. 6: S791-S-800.See https://pubmed.ncbi.nlm.nih.gov/19812072/ .Abstract: Understanding the risk of...
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2018-Reed, Hanna - Mathematical Models of Mosquito Populations. University of Central Florida. Honors Thesis.
24 Mar 2020 | | Contributor(s):: Brian Winkel
Reed, Hanna. 2018. Mathematical Models of Mosquito Populations. University of Central Florida. Honors Thesis. 38 pp. ABSTRACT: The intent of this thesis is to develop ordinary differential equation models to better understand the mosquito population. We first develop a framework model, where...
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2014-Smith?, Rogert - Mathematical Modeling of Zombies
22 Mar 2020 | | Contributor(s):: Brian Winkel
Smith?, Rogert. 2014. Mathematical Modeling of Zombies. University Ottawa Press. 26 pp.See https://people.maths.ox.ac.uk/maini/PKM%20publications/384.pdf .Abstract: Knowing how long we have before we face off with a zombie could mean the difference between life, death and...
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2009-Haran, Murali - An introduction to models for disease dynamics. Presentation
20 Mar 2020 | | Contributor(s):: Brian Winkel
Haran, Murali. 2009. An introduction to models for disease dynamics. Presentation. 68 slides. Opening slides: Useful to model and understand disease dynamics because: Important for basic science as well as public policy. Models for infectious diseases are...
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2013-Beckley, Ross; Cametria Weatherspoon; Michael Alexander; Marissa Chandler; Anthony Johnson, and Ghan S Bhatt - Modeling epidemics with differential equations.
20 Mar 2020 | | Contributor(s):: Brian Winkel
Ross Beckley, Cametria Weatherspoon, Michael Alexander, Marissa Chandler, Anthony Johnson, and Ghan S Bhatt. 2013. Modeling epidemics with differential equations. Class project Tennessee State University and Philander Smith University.Abstract: Abstract. The well known SIR models...
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2015-Goulson, R. - Exploring differential equation of HIV infection
21 Jun 2019 | | Contributor(s):: Rebecca L. Goulson
Exploring differential equation models of the HIV infection Presentation by Rebecca L. Goulson Department of Mathematics Pacific Lutheran University Tacoma, WA, May, 2015. 67 Slides Models presented and data analyzed to determine parameters.
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6-011-S - HumansVsZombies
25 Oct 2018 | | Contributor(s):: Hope McIlwain
In this activity, students will analyze the SIR differential equations model in the context of a zombie invasion of a human population. First the students will analyze a two equation system representing only two populations, humans and zombies. Then a new population, the recovered zombies, will...
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6-010-S-SocialCampaigns
23 Sep 2018 | | Contributor(s):: Hyunsun Lee
Mathematical epidemic models are crucial tools to understand, analyze, predict, and control infectious diseases. The Susceptible-Infected-Recovered (SIR) model is a basic compartment model, describing how an infectious disease propagates through a population. The problem is formulated as a system...
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2008-Yang, Junyuan , Xiaoyan Wang, and Fengqin Zhang - A Differential Equation Model of HIV Infection of CD T-Cells with Delay.
02 Sep 2018 | | Contributor(s):: Brian Winkel
Yang, Junyuan , Xiaoyan Wang, and Fengqin Zhang. 2008. A Differential Equation Model of HIV Infection of CD T-Cells with Delay. Volume 2008. Article ID 903678.See https://www.hindawi.com/journals/ddns/2008/903678/ .Abstract: An epidemic model of HIV infection of...
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6-003-S-SchoolFluEpidemic
28 Aug 2018 | | Contributor(s):: Darrell Weldon Pepper
We offer a model of the spread of flu in a school dormitory and are asked to find when the flu levels reach their peak and explain long term behavior of the spread of the flu.
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2017-Karam Allali, Adil Meskaf, and Abdessamad Tridane - Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection
07 Mar 2018 | | Contributor(s):: Karam Allali, Adil Meskaf, Abdessamad Tridane
Karam Allali, Adil Meskaf, and Abdessamad Tridane. 2018. Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection. International Journal of Differential Equations. Volume 2017, Article ID 6710575, 13...