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Downloads
Views
Date
Relevance
Modeling Scenario
534
views
269
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
1192
views
1248
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
256
views
116
downloads
0
comments
1-084-GoingViral-ModelingScenario
Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom). Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation.
simulation
logistic
random
fitting
partial fractions
Modeling Scenario
249
views
263
downloads
0
comments
1-081-TumorGrowth-ModelingScenario
Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor growth.
logistic
population
tumor
Gompertz
Modeling Scenario
218
views
128
downloads
0
comments
1-009-ICUSpread-ModelingScenario
We offer students the opportunity to model the percentage of voluntary nonprofit hospitals in the United States with Intensive Care Units during the period of 1958-1974.
logistic
sum of square errors
Intensive Care Unit
hospital
spread
Modeling Scenario
313
views
149
downloads
0
comments
1-111-SpreadOfInformation-ModelingScenario
Students perform experiments to model spread of information within a population. Students collect data, determine essential components and parameters and build a mathematical model culminating with a separable linear first order differential...
data
logistic
racism
prejudice
misinformation
memes
spread
disinformation
information
lies
Google Trends
coins
pennies
Modeling Scenario
367
views
443
downloads
1
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
239
views
99
downloads
0
comments
1-067-ModelingWithSigmoidCurves-ModelingScenario
The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or S-shape.
logistic
Gompertz
sigmoid
Verhulst-Pearl
Modeling Scenario
356
views
310
downloads
0
comments
9-005-InvasiveSpeciesModel-ModelingScenario
This scenario takes students through the development of an invasive species partial differential equation model. Basic models are discussed first, which lead students to eventually develop their own model which takes into account dispersion.
Invasive Species
logistic
migration
traveling waves
dispersion
Modeling Scenario
336
views
317
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
349
views
251
downloads
0
comments
1-023-RumorSpread-ModelingScenario
We use a newspaper report on the spread of a rumor based on shares of articles on the Internet over a 5 day period to demonstrate the value of modeling with the logistic differential equation.
Internet
logistic
spread
rumors
Modeling Scenario
384
views
393
downloads
0
comments
1-102-CancerTumor-ModelingScenario
This module guides students in the use of differential equation models to predict cancer growth and optimize treatment outcomes. Several classical models for cancer growth are studied, including exponential, power law, Bertalanffy, logistic, and...
optimization
logistic
prediction
data fitting
power law
Gompertz
cancer growth
eponential
Bertalanaffy
Modeling Scenario
386
views
259
downloads
0
comments
1-102C-CancerGrowth-ModelingScenario
This module guides students in the use of differential equation models to predict cancer growth and study treatment outcomes. Several classical models for cancer growth are presented including exponential, power law, Bertalanffy, logistic, and...
optimization
cancer
logistic
exponential
prediction
tumor
growth
data fitting
power law
Bertanffy
Gompertz
Modeling Scenario
213
views
228
downloads
0
comments
6-029-TumorGrowth-ModelingScenario
This modeling scenario guides a student familiar with single ordinary differential equation (ODE) models towards the development of a more complex system of two ODEs for describing the evolution of tumor growth over time.
Pop_Growth Pilot
logistic
comparment
tumor
synthetic data
sum of squares error
Modeling Scenario
449
views
172
downloads
0
comments
1-046-GoingViral-ModelingScenario
Students participate in a simulation of the spread of a viral disease in the classroom and model the process with a logistic differential equation. The simulation uses random numbers and the entire class participates.
simulation
mathematical model
data
logistic
random number generator
fitting
random process
Modeling Scenario
292
views
290
downloads
0
comments
1-019-RocksInTheHead-Modeling Scenario
We describe an experiment with data on the perception of the individual mass of a collection of rocks in comparison to a 100 g brass mass. Students use the logistic differential equation as a reasonable model and estimate parameters.
logistic growth
parameter estimation
experiment
Modeling Scenario
296
views
561
downloads
0
comments
1-170-CensusModeling-ModelingScenario
Students who have studied models for population are likely to be familiar with the exponential and the logistic population models. The goal here is to explore the role of modeling assumptions in choosing which model to use.
logistic growth
exponential
population
U.S. Census Data
assumption
Google Sheets
Unites States
Guatemala
Modeling Scenario
354
views
254
downloads
0
comments
6-040-StruggleForExistence-ModelingScenario
We use historical data from the 1930's in the Soviet Union and model competition between two species of yeast after modeling each species separately and estimate parameters
competition
logistic
carrying capacity
paramecium
Modeling Scenario
250
views
209
downloads
0
comments
1-066-USCensusModeling-ModelingScenario
The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled with the exponential, logistic, or Gompertz functions.
data
logistic
population
Gompertz
census
goodness of fit
Modeling Scenario
270
views
126
downloads
0
comments
1-143-PopulationModelVariationsMATLAB-ModelingScenario
Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models.
population dynamics
ecology
logistic growth
bifurcation theory
slope fields
extinction
harvesting
qualitative analysis
stocking
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