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Modeling Scenario
295
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10-100-InsectOutbreaks-ModelingScenario
We use a system of difference equations that incorporates a temperature-dependent MPB population growth rate to model the outbreak and recovery cycle in mountain pine beetle-infested forests.
ecology
climate change
insect
insect outbreaks
insect outbreak
solitary wave
Modeling Scenario
475
views
245
downloads
0
comments
6-005-InsectColonySurvivalOpt-ModelingScenario
We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number of different energy functions.
optimization
Optimal Control Theory
insect colony
optimal control
natural resources
Pointryagin's Maximum Principle
control variable
Modeling Scenario
372
views
644
downloads
0
comments
6-007-FunctionsAndDerivativesInSIRModels-ModelingScenario
Given a system of differential equations, how do the solution graphs compare with the graphs of the differential equations? Students tackle this question using SIR models for well-known infectious diseases.
epidemiology
species interactions
derivatives
visualization
infection
SIR models
Law of Mass Action
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