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1-024-MalariaControl-ModelingScenario
26 May 2022 | Teaching Materials | Contributor(s):
By David Culver
United States Military Academy, West Point NY USA
This project offers students a chance to make policy recommendations based on the analysis of models using both linear (exponential decay) and non-linear (logistic growth) differential equations.
https://qubeshub.org/publications/3317/?v=1
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1-038-Ebola-ModelingScenario
14 Nov 2022 | Teaching Materials | Contributor(s):
By Lisa Driskell
Colorado Mesa University, Grand Junction CO USA
Students will use data published by the World Health Organization to model the 2014 outbreak of the Ebola virus in West Africa. We begin with a simple exponential growth model and move through the...
https://qubeshub.org/publications/3070/?v=1
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1-039-StochasticPopModels-ModelingScenario
25 May 2022 | Teaching Materials | Contributor(s):
By Daniel Flath
Macalester College, St. Paul Mn USA
We develop strategies for creating a population model using some simple probabilistic assumptions. These assumptions lead to a system of differential equations for the probability that a system is...
https://qubeshub.org/publications/3301/?v=1
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1-119-DairyFarming-ModelingScenario
22 May 2022 | Teaching Materials | Contributor(s):
By Robert Krueger
A simple first order population growth model is presented. The challenge is to produce a final differential equation which is the result of the difference or ratio of birth and death rates. This...
https://qubeshub.org/publications/3212/?v=1
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1-120-CircularRollerCoaster-ModelingScenario
22 May 2022 | Teaching Materials | Contributor(s):
By Kevin Huang
Centennial High School, Ellicott City MD USA
Students study the dynamics of a circular roller coaster and work out the equations of motion in the ideal case as well as considering the interesting complication of including kinetic friction....
https://qubeshub.org/publications/3211/?v=1
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1-124-WorldPopulation-ModelingScenario
22 May 2022 | Teaching Materials | Contributor(s):
By Lenka Pribylova1, Pavel Morcinek1, Jan Sevcik1
Masaryk University, Brno CZECH REPUBLIC
We build models of world population using data to estimate growth rate.
https://qubeshub.org/publications/3209/?v=1
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1-135-FishHarvesting-ModelingScenario
22 May 2022 | Teaching Materials | Contributor(s):
By Jennifer Crodelle
Middlebury College, Middlebury VT USA
This short activity will walk students through a guided list of questions to help them to understand how the stability of equilibrium changes with changes in a model parameter, in this case the...
https://qubeshub.org/publications/3204/?v=1
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1-143-PopulationModelVariationsMATLAB-ModelingScenario
22 May 2022 | Teaching Materials | Contributor(s):
By William (Bill) Skerbitz
Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models.
https://qubeshub.org/publications/3196/?v=1
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1-150-CancerTherapy-ModelingScenario
22 May 2022 | Teaching Materials | Contributor(s):
By Iordanka Panayotova1, Maila Hallare2
1. Christopher Newport University 2. NSU Math
This activity builds upon elementary models on population growth. In particular, we compare two different treatment models of cancer therapy where in one, surgery happens before therapy and in the...
https://qubeshub.org/publications/3195/?v=1
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1-190-IntroClass-ModelingScenario
21 May 2022 | Teaching Materials | Contributor(s):
By William (Bill) Skerbitz
Wayzata High School, Plymouth MN USA
Students go through development of ideas in mathematical modeling with differential equations. They encounter fundamental ideas of unlimited population growth, limited population growth and a...
https://qubeshub.org/publications/3189/?v=1
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1999-Meyer-Ausubel-Carrying Capacity-A Model with Logistically Varying Limits
02 Apr 2023 | Teaching Materials | Contributor(s):
By Meyer Perrin
NA
This paper extends the logistic equation to simple growth model with a logistically increasing carrying capacity. This is applied to human population situations in several countries with fits to data.
https://qubeshub.org/publications/3938/?v=1
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2000-Armson-Cockroft-Stone-Modelling a barnacle goose population
03 Apr 2023 | Teaching Materials | Contributor(s):
By R J Armson
NA
This paper explores a number of models for the growth of a barnacle goose population. These geese spend their summers breeding in Spitsbergen and then winter in Caerlaverock on the Solway Firth....
https://qubeshub.org/publications/3940/?v=1
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2000-Dwayne-Anderson-Estimates of the future membership of the Church of Jesus Christ of Latter-Day Saints
02 Apr 2023 | Teaching Materials | Contributor(s):
By Dwayne Anderson
NA
Thus, the purpose of this paper is to model the membership of the Church of the Latter Day Saints from the available data on membership from 1844 to 2000.
https://qubeshub.org/publications/3942/?v=1
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2006-Graves-Peckham-Pastor-2D differential equations model for mutualism
05 Apr 2023 | Teaching Materials | Contributor(s):
By Wendy Gruner Graves
NA
We develop from basic principles a two-species differential equations model which exhibits mutualistic population interactions.
https://qubeshub.org/publications/3984/?v=1
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2006-Michael_Coleman-Population Modeling with Ordinary Differential Equations
08 Apr 2023 | Teaching Materials | Contributor(s):
By Michael Coleman
NA
We will investigate some cases of differential equations population models beyond the separable case and then expand to some basic systems of ordinary differential equations.
https://qubeshub.org/publications/3989/?v=1
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2007-Hui_Luo-Population Modeling by Differential Equations
06 Apr 2023 | Teaching Materials | Contributor(s):
By hui Luo
NA
A general model for the population of Tibetan antelope is constructed. The present model shows that the given data is reasonably logistic.
https://qubeshub.org/publications/4002/?v=1
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2007-I-Liang_Chern-Mathematical Modeling and Differential Equations
06 Apr 2023 | Teaching Materials | Contributor(s):
By I-Liang Chern
NA
In this course, I will mainly focus on, but not limited to, two important classes of mathematical models by ordinary differential equations:• population dynamics in biology• dynamics in classical...
https://qubeshub.org/publications/4003/?v=1
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2010-Shaza_Hussein-Predator-Prey Modeling
06 Apr 2023 | Teaching Materials | Contributor(s):
By Shaza Hussein
NA
The objective of this project was to create five projections of animal populations based on a simple predator-prey model and explore the trends visible.
https://qubeshub.org/publications/4048/?v=1
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2012-Michael_Kerckhove-From Population Dynamics to Partial Differential Equations
07 Apr 2023 | Teaching Materials | Contributor(s):
By Michael Kerckhove
NA
This article illustrates PDE models for location-dependent carrying capacities, migrations, and the dispersion of a population.
https://qubeshub.org/publications/4082/?v=1
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2014-XM-Huang-Ordinary Differential Equation Model and its Application in the Prediction Control of Population
10 Apr 2023 | Teaching Materials | Contributor(s):
By X M Huang
NA
In this paper, we study two kinds of ordinary differential equation models, i.e., Malthus model and Logistic model, and discuss their applications in the prediction control of population.
https://qubeshub.org/publications/4123/?v=1