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Views
Date
Relevance
Modeling Scenario
309
views
404
downloads
0
comments
1-139-PlantsVsHerbivores-ModeliongScenario
In this activity, students will apply a variety of techniques for analyzing nonlinear systems (e.g., nullclines, linearization, and technologies for drawing phase portraits) to study plant-herbivore models.
ecology
nullclines
herbivore
plant-herbivore interactions
plant
linearization
Potential Scenario
146
views
51
downloads
0
comments
1991-JR_Lobry-P_Flandois-Comparison of Monod's Growth Model Parameters from the Same Data Set
The paper obtains the parameters in Monod's Growth model using a minimization of the sum of square errors with a given data set and obtains confidence intervals
Confidence intervals
sum of square errors
linearization
growth
Modo Growth model
Technique Narrative
256
views
265
downloads
0
comments
1-015-DimensionlessVariables-TechniqueNarrative
This material introduces the idea of ``rescaling'' for ordinary differential equations (ODE's) by the use of dimensionless variables. In practice this is an extremely common and useful prelude to the analysis and solution of ODE's.
linearization
dimensional analysis
time scale
scaling
dimensionless variables
spatial scale
Modeling Scenario
305
views
282
downloads
0
comments
1-114-EarthClimate-ModelingScenario
In this modeling scenario, we investigate the Earth's climate using a zero-dimensional energy balance model. Energy balance models are climate models that try to predict the average surface temperature of the Earth.
climate
energy
temperature
linearization
phase lines
energy balance model
root finding
Modeling Scenario
258
views
377
downloads
0
comments
3-080-PendulumModeling-ModelingScenario
We lead students through building model for several pendulum configurations in motion and ask students to compare results.
pendulum
period
linearization
Modeling Scenario
211
views
239
downloads
0
comments
4-036-AltitudeDependentGravity-ModelingScenario
When projectiles are way above Earth's surface gravity's changes become important when dealing with projectiles at high altitudes. We lay out an approach for such a case which is a second-order differential equation.
a
gravity
projectile
linearization
ltitufe
altitude
Modeling Scenario
584
views
330
downloads
0
comments
6-020-AlgaePopulationSelf-Replenishment-ModelingScenario
This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, in 1994. A
algae
population
Mexico
qualitative
compartment
linearization
Jacobian
lak
nondimensionalization
pplane
Free Online Textbook
216
views
55
downloads
0
comments
2016-I-Liang_Chern-Mathematical Modeling_and_Ordinary_Differential_Equations
We let the author's Table of Contents speak for itself.
differential equations
modeling
textbook
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