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1-037-CommonColdSpread-ModelingScenario
07 May 2022 | Teaching Materials | Contributor(s):
By Corban Harwood
George Fox University, Newberg OR USA
This modeling scenario guides students to simulate and investigate the spread of the common cold in a residence hall. An example floor plan is given, but the reader is encouraged to use a more...
https://qubeshub.org/publications/3008/?v=1
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2010-Del-Ciello-EtAl-Modeling Disease
06 Apr 2023 | Teaching Materials | Contributor(s):
By Sarah Del Ciello
NA
We model the transmission of a disease through a population. Such modeling is very important to the study of epidemiology and the practice of medicine.
https://qubeshub.org/publications/4042/?v=1
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2010-Jungck-EtAl-Mathematical Manipulative Models-In Defense of Beanbag Biology
06 Apr 2023 | Teaching Materials | Contributor(s):
By John Jungck
NA
This paper offers up samples of projects from the Bio- QUEST Curriculum Consortium’s 24-yr experience of holding faculty development workshops for biology and mathematics educators.
https://qubeshub.org/publications/4043/?v=1
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2011-Gaff-Lenhart-Use of optimal control models to predict treatment time for managing tick-borne disease
06 Apr 2023 | Teaching Materials | Contributor(s):
By Holly Gaff
NA
Tick-borne diseases have been on the rise recently, and correspondingly, there is an increased interest in implementing control measures to decrease the risk. Optimal control provides an ideal tool...
https://qubeshub.org/publications/4056/?v=1
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2011-Nakul-Chitnis-Introduction to Mathematical Epidemiology - Deterministic Compartmental Model
07 Apr 2023 | Teaching Materials | Contributor(s):
By Nakul Chitnis
NA
Deterministic compartmental models form the simplest models in the mathematical study of infectious disease dynamics. They assume that a population is homogenous (all people are the same) and the...
https://qubeshub.org/publications/4063/?v=1
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2012-Tweedle-Smith-Mathematical model of Bieber Fever-The most infectious disease of our time
07 Apr 2023 | Teaching Materials | Contributor(s):
By Valerie Tweedle1, Robert Smith1
NA
We develop a mathematical model to describe the spread of Bieber Fever, whereby individuals can be susceptible, Bieber-infected or bored of Bieber.
https://qubeshub.org/publications/4090/?v=1
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2014-Bozkurt-Peker-Mathematical modelling of HIV epidemic and stability analysis
31 Mar 2023 | Teaching Materials | Contributor(s):
By Fatma Bozhut
NA
A nonlinear mathematical model of differential equations with piecewise constant arguments is proposed. This model is analyzed by using the theory of both differential and difference equations to...
https://qubeshub.org/publications/3911/?v=1
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2016-Lofgren-EtAl-Equations of the End Teaching Mathematical Modeling Using the Zombie Apocalypse
09 Apr 2023 | Teaching Materials | Contributor(s):
By Eric Lofgren
NA
In this article, we explore several uses of zombie epidemics to make mathematical modeling and infectious disease epidemiology more accessible to public health professionals, students, and the...
https://qubeshub.org/publications/4164/?v=1
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2018-Meredith_Greer-Ella_Livesay-Mathematical Epidemiology Goes to College
11 Apr 2023 | Teaching Materials | Contributor(s):
By Meredith Greer1, Ella Livesay1
NA
In this article we present models that were inspired by two real-life outbreaks at a small residential college campus: H1N1 influenza in 2009 and, surprisingly, mumps in 2016.
https://qubeshub.org/publications/4228/?v=1
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2018-Nyanginja-Angwenyi-Musyoka-Orwa - Mathematical modeling of the effects of public health education on tungiasis
15 Mar 2023 | Teaching Materials | Contributor(s):
By Rachel Nyang’inja
NA
In this paper, we formulate and study a mathematical model for the dynamics of jigger infestation incorporating public health education using systems of ordinary differential equations and...
https://qubeshub.org/publications/3823/?v=1
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2018-Van_Kinh Nguyen-Esteban_Hernandez-Vargas-Parameter estimation in mathematical models of viral infections using R
15 Mar 2023 | Teaching Materials | Contributor(s):
By Van Kinh Nguyen
NA
Mathematical modeling has played a central role to understand mechanisms in different viral infectious diseases. In this approach, biological-based hypotheses are expressed via mathematical...
https://qubeshub.org/publications/3822/?v=1
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2020-Ciaroshi-How_COVID-19_Spreads_MathModels
08 Mar 2023 | Teaching Materials | Contributor(s):
By Jennifer Ciarochei
NA
On December 31, 2019, the Chinese city of Wuhan reported an outbreak of a novel coronavirus (COVID-19) that has since killed over 4,200 people. As of March 11, 2020, over 118,000 infections—have...
https://qubeshub.org/publications/3733/?v=1
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2020-TeachingModule-SpreadOfCommonColdSimulation
13 Aug 2023 | Teaching Materials | Contributor(s):
By R. Corban Harwood
George Fox University, Newberg OR USA
This simulation is meant to introduce the idea of a differential equation model and investigate the impact of heightened hygiene and decreased interactions on the spread of an infectious disease....
https://qubeshub.org/publications/4499/?v=1
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6-010-SocialCampaign-ModelingScenario
17 May 2022 | Teaching Materials | Contributor(s):
By Hyunsun Lee
Hawaii Pacific University, Honolulu HI USA
The epidemic modeling problem is formulated as a system of three nonlinear, first order differential equations in which three compartments (S, I, and R) of the population are linked.
https://qubeshub.org/publications/3102/?v=1
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6-015-CombatingEbolaEpidemic-ModelingScenario
17 May 2022 | Teaching Materials | Contributor(s):
By Jonathan Paynter1, Patrick Mugg1, LAmar Adams1
United States Military Academy, West Point NY USA
This project offers students a chance to make a policy recommendation based on analysis of a nonlinear system of differential equations (disease model). The scenario is taken from the fall of 2014...
https://qubeshub.org/publications/3099/?v=1
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6-016-PandemicModeling-ModelingScenario
17 May 2022 | Teaching Materials | Contributor(s):
By Jue Wang
The recent coronavirus outbreak has infected millions of people worldwide and spread to over 200 countries. How can we use differential equations to study the spread of coronavirus?
https://qubeshub.org/publications/3098/?v=1
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6-018-ExploringSIRModel-ModelingScenario
17 May 2022 | Teaching Materials | Contributor(s):
By Stanley Florkowski, Ryan Miller1
United States Military Academy, West Point NY USA
Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to...
https://qubeshub.org/publications/3097/?v=1
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Disease Spread Simulation with M&M's and Information on the wider SIMIODE community
03 Jul 2015 | | Contributor(s):: Brian Winkel
This resource has been updated - find the current version here: https://qubeshub.org/publications/358This is a Student Version of a Modeling Scenario from the community, SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations at...
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Disease Spread Simulation with M&M's and Information on the wider SIMIODE community
13 Feb 2018 | Teaching Materials | Contributor(s):
By Brian Winkel
SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations
This is a Student Version of a Modeling Scenario from the community, SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations at www.simiode.org
https://qubeshub.org/publications/358/?v=1
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Disease Transmission Dynamics on Networks: Network Structure Versus Disease Dynamics
Citation | Chapter
Just, Winfried, Callender, Hannah, LaMar, M. Drew, Raina S. Robeva (2015), "Disease Transmission Dynamics on Networks: Network Structure Versus Disease Dynamics", Algebraic and Discrete Mathematical Methods for Modern Biology, first, Academic Press: pg: 217-235, March, 9780128012130, (DOI: )