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Downloads
Views
Date
Relevance
Potential Scenario
109
views
42
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
epidemic
cowpox
smallpox
complex networks
Modeling Scenario
191
views
83
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
Potential Scenario
100
views
39
downloads
0
comments
2007-Choisy-Guégan-Rohani-Mathematical Modeling of Infectious Diseases Dynamics
After presenting general notions of mathematical modeling (Section 22.2) and the nature of epidemiological data available to the modeler (Section 22.3), we detail the very basic SIR epidemiological model (Section 22.5).
stochastic
SIR model
deterministic
incubation
infectives
Modeling Scenario
286
views
408
downloads
0
comments
6-016-PandemicModeling-ModelingScenario
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?
population dynamics
infectious disease
disease
Ebola
e
SIR models
COVID19
pandemic
epidemic
reproduction number
Potential Scenario
182
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
Modeling Scenario
243
views
122
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
Modeling Scenario
228
views
275
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
Modeling Scenario
278
views
345
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.
Modeling Scenario
146
views
108
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
Modeling Scenario
498
views
210
downloads
0
comments
1-104A-T-InfectionRisk-ModelingScenario
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 and comparing to actual disease data sets.
regression
infection
COVID19
carrying capacity
logistic equation
exponential model
Modeling Scenario
211
views
156
downloads
0
comments
6-004-VillageEpidemic-ModelingScenario
Students are offered data from a plague epidemic that occurred in the middle of the seventeenth century in Eyam, a small English village. With only two assumptions offered to students they are to build a mathematical model.
SIR models
epidemic
susceptible
infective
removed
Eyam
English village
Modeling Scenario
603
views
491
downloads
0
comments
6-015-CombatingEbolaEpidemic-ModelingScenario
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 when the Ebola outbreak in West Africa.
disease
Ebola
Analysis
Policy
decision
Potential Scenario
151
views
50
downloads
0
comments
2014-Allen-EtAl-Perturbations in Epidemiological Models -When zombies attack we can survive
In this paper, we investigate the existence of stability-changing bifurcations in epidemiological models used to study the spread of zombiism through a human population.
epidemiology
dynamical systems
zombies
bifurcation
perturbation
Modeling Scenario
1139
views
1238
downloads
0
comments
1-070-FisheryHarvest-ModelingScenario
Students model with logistic growth, harvesting, and diffusion in analyzing ocean fisheries of the Atlantic cod. We help students build models, ever more complex, to capture physical realities. At each stage we ask students to reflect on the model.
logistic
Diffusion
management
harvest
fishery
Modeling Scenario
213
views
158
downloads
0
comments
6-018-ExploringSIRModel-ModelingScenario
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 understand, to apply, and to develop SIR models.
population dynamics
sensitivity
disease
SIR models
epidemic
rumors
Potential Scenario
181
views
63
downloads
0
comments
2014-Eckhoff-EtAl-Fun with maths-exploring implications of mathematical models for malaria eradication
. In this note, four examples demonstrate both the effects of model structures and assumptions and also the benefits of using a diversity of model approaches fomalaria eradication strategies.
vaccine
malaria
migration
eradication
seasonality
Modeling Scenario
317
views
266
downloads
0
comments
1-022-SpreadOfTechnologies-ModelingScenario
We examine plots on the spread of technologies and ask students to estimate and extract data from the plots and then model several of these spread of technologies phenomena with a logistic differential equation model.
data analysis
technology
logistic
spread
innovation
Modeling Scenario
200
views
256
downloads
0
comments
6-019-EnablingEpidemicExploration-ModelingScenario
We became aware of several interesting possibilities for a modeling opportunity with data and we invited you to explore the several routes to parameter estimation in a SIR model with respect to the data offered.
Akaike Information Criterion
Michaelis-Menten
epidemic
saturation
gradient
least sum of square errors
Modeling Scenario
238
views
90
downloads
0
comments
6-009-FakeNews-ModelingScenario
In modern society, creating and disseminating information is easier than ever. In this project, you will model the spread of fake news and investigate ways to deter distributing misinformation.
sensitivity analysis
SIR models
SIS model
fake news
Modeling Scenario
257
views
329
downloads
0
comments
1-037-CommonColdSpread-ModelingScenario
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 relevant example.
disease
common cold
residence hall
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