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Views
Date
Relevance
Technique Narrative
496
views
309
downloads
0
comments
1-010-AtmosphericCO2Bifurcation-TechniqueNarrative
Students are introduced to the concept of a bifurcation in a first-order ordinary differential equation (ODE) through a modeling scenario involving atmospheric carbon dioxide whish is taken as a parameter and temperature is a function of time.
carbon dioxide
Surface Atmosphere Exchange
bifurcation
fold bifurcation
saddle node
Potential Scenario
123
views
48
downloads
0
comments
2012-Yuan_Yuan-A coupled plankton system with instantaneous and delayed predation
We present two simple plankton population models: one has instantaneous predation, another has delayed predation.
phytoplankton
bifurcation
orbits
herbivorous zooplankton
effect of fish
maturation time delay
Modeling Scenario
236
views
201
downloads
0
comments
1-135-FishHarvesting-ModelingScenario
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 rate of harvesting fish.
population dynamics
fish
stability
bifurcation
harvest
Technique Narrative
336
views
202
downloads
0
comments
1-009-Bifurcation-TechniqueNarrative
We lead students to investigate first-order differential equations that contain unknown parameters. Students discover what happens to the qualitative behavior of solutions to these equations as these parameters vary.
bifurcation
qualitative behavior
bifurcation diagram
Potential Scenario
168
views
66
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
197
views
203
downloads
0
comments
1-134-LanguageDynamics-ModelingScenario
Students will be introduced to a mathematical model for language dynamics. Specifically, the model describes the change in the fraction of a population speaking one language over another.
language
compartment
phase lines
bifurcation
switching
Modeling Scenario
261
views
116
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
Modeling Scenario
204
views
273
downloads
0
comments
1-137-SheepGraze-ModelingScenario
In this activity, students will apply graphical analysis (such as phase lines) to determine the long-term predictions of a differential equation model for pasture grass using two different formulas for the herbivore consumption rate.
herbivore
plant
phase lines
bifurcation
overexploitation
sheep
graze
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