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Modeling Scenario
393
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6-022-CannibalismPredatorPrey-ModelingScenario
The Lotka-Volterra model tells us that the prey and predator exhibit a shifted cyclic behavior over time. In this module, we look at modifying this prey-predator model to consider the case when there is cannibalism in the predator species.
stability
predator-prey
equilibria
oscillations
cannibalism
phase planes
spiral sinks
Modeling Scenario
221
views
291
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
Modeling Scenario
217
views
299
downloads
0
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5-015-RunnersSynchronize-ModelingScenario
In this modeling scenario we practice finding and classifying equilibria of a one-variable differential equation. We do this in the context of a phase model which is often a simpler way of studying oscillatory phenomena.
predator
Autonomous equations
oscillation
coupled oscillator
synchrony
runner
prey
Kuramato model
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