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General Resource
165
views
40
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0
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2003-Knorrenschild-Gross-Text Books on Mathematical Modeling in Biology
Text Books on Mathematical Modeling in Biology Compiled from the Internet by Michael Knorrenschild,
biology
Mathematical Biology
textbook
text
Modeling Scenario
239
views
113
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
193
views
218
downloads
0
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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
Potential Scenario
174
views
43
downloads
0
comments
2006-Michelle_LeMasurier-Nonstandard Topics for Student Presentations in Differential Equations
An interesting and effective way to showcase the wide variety of fields to which differential equations can be applied is to have students give short oral presentations on a specific application.
Presentation
student presentation
Technique Narrative
313
views
142
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
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