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Downloads
Views
Date
Relevance
Potential Scenario
173
views
80
downloads
0
comments
2001-Smith-Moore-The SIR Model for Spread of Disease
A multiple part tour of SIR Models freely available with Maple, Mathematics, and MatLab support files at MAA site.
epidemic
SIR model
Euler's method
herd immunity
Hong Kong flu
Potential Scenario
109
views
35
downloads
0
comments
2010-Del-Ciello-EtAl-Modeling Disease
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.
disease
spread
carries
symptomatic
asymptomatic
Potential Scenario
171
views
94
downloads
0
comments
2016-Lofgren-EtAl-Equations of the End Teaching Mathematical Modeling Using the Zombie Apocalypse
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 general public.
simulation
infectious disease
disease
epidemic
Zombie
White Zed
Potential Scenario
111
views
40
downloads
0
comments
2016-Lewnard-Townsend-Climatic and evolutionary drivers of phase shifts in the plague epidemics of colonial India
Our analysis shows that historical datasets can yield powerful insights into the transmission dynamics of reemerging disease agents with which we have limited contemporary experience to guide quantitative modeling and inference.
infectious disease
p
Vector-Borne Disease
lague
plague
Modeling Scenario
185
views
78
downloads
0
comments
6-045-CholeraTranmission-ModelingScenario
During the project described here, the students will learn how to solve and address a practical problem such as cholera transmission using various mathematical tools.
infectious disease
cholera
endemic
disease-free
transmission rate
waterborne pathogen
Modeling Scenario
205
views
121
downloads
0
comments
1-089-SpreadOfDisease-ModelingScenario
In this project I want to use the algebra based concept “difference quotient” to solve differential equations models with the help of Excel. That means even students with only a College Algebra background, can still enjoy differential equation...
SIR model
Proportion
derivative
difference quotient
Sleeping Beauty
contagious disease
Potential Scenario
119
views
41
downloads
0
comments
2012-Tweedle-Smith-Mathematical model of Bieber Fever-The most infectious disease of our time
We develop a mathematical model to describe the spread of Bieber Fever, whereby individuals can be susceptible, Bieber-infected or bored of Bieber.
infectious disease
disease
infection
media
Justin Bieber
Bieber fever
symptoms
bored
reproductive ratio
Potential Scenario
133
views
60
downloads
0
comments
2011-Nakul-Chitnis-Introduction to Mathematical Epidemiology - Deterministic Compartmental Model
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 only distinction is in their disease state.
sensitivity
disease
infection
threshold
compartment
bifrucation
Potential Scenario
117
views
41
downloads
0
comments
2011-Gaff-Lenhart-Use of optimal control models to predict treatment time for managing tick-borne disease
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 to identify the best method for reducing risk.
disease
optimal control
TICK
tick mode
ehrlichiosis
bang bang control
Potential Scenario
139
views
41
downloads
0
comments
2018-Nyanginja-Angwenyi-Musyoka-Orwa - Mathematical modeling of the effects of public health education on tungiasis
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 computational simulations.
disease
endemic
reproduction number
tungiasis
jigger infestation
Modeling Scenario
212
views
260
downloads
0
comments
1-160-HeartDeathRate-ModelingScenario
Students simulate experience from a given data set which represents the heart death rate during the period 2000 - 2010 using several approaches to include exponential decay, difference equation, differential equation, and parameter estimation...
data
heart death rate
Article or Presentation
231
views
672
downloads
0
comments
2020-TeachingModule-SpreadOfCommonColdSimulation
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. The focus of this simulation is on the common cold.
simulation
module
infectious disease
disease
spread
Teaching Module
spread of disease
Potential Scenario
125
views
42
downloads
0
comments
2015-Just-Callender-Differential equation models of disease transmission
The work give full analyses of standard epidemic model and then shows how to do it with differential equations and agent-based modeling. Then it compares the results.
disease transmission
SIR models
epidemic
agent-based
Modeling Scenario
263
views
322
downloads
0
comments
1-017-DiseaseSpread-ModelingScenario
Using a grid and m&m candies, we simulate the spread of disease. Students conduct the simulation and collect data to estimate parameters (in several ways) in a differential equation model for the spread of the disease.
Potential Scenario
126
views
46
downloads
0
comments
2011-Yanyu_Xiao-Study of Malaria Transmission Dynamics by Mathematical Models
The novelty lies in the fact that different distribution functions are used to describe the variance of individual latencies. The theoretical results of this project indicate that latencies reduce the basic reproduction number.
infectious disease
infection
malaria
latency
spatial dispersal
multi-species
Potential Scenario
117
views
60
downloads
0
comments
2016-Manheim-EtAl-Improving Decision Support for Infectious Disease Prevention and Control
This report describes decision-support tools, including models and nonmodeling approaches, that are relevant to infectious disease prevention, detection, and response and aligns these tools with real-world policy questions that the tools can help...
infectious disease
ecosystem
epidemic
model policy
Potential Scenario
160
views
46
downloads
0
comments
2010-Jungck-EtAl-Mathematical Manipulative Models-In Defense of Beanbag Biology
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.
epidemiology
simulation
infectious disease
disease transmission
disease
in-class activity
bean bag activity
Potential Scenario
102
views
50
downloads
0
comments
2008-Abramson-Mathematical modeling of the spread of infectious diseases
These are informal notes, mostly based on the bibliography listed at the end and on recent papers in the field. The practical use of these models is based on the fact that they can be kept realistic enough.
infectious disease
bibliography
epidemic
cowpox
smallpox
complex networks
spread disease
Potential Scenario
164
views
38
downloads
0
comments
2020-Ciaroshi-How_COVID-19_Spreads_MathModels
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 been confirmed by the World Health Organization.
disease
covid
outbreak
Wuhan
coronoavirus
Modeling Scenario
125
views
98
downloads
0
comments
6-003-SchoolFluEpidemic-ModelingScenario
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.
infection
epidemic
SIR model
flu
peak
school children
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