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Views
Date
Relevance
Potential Scenario
255
views
85
downloads
0
comments
2006-Wilensky-Reisman-Thinking Like a Wolf a Sheep or a Firefly
We describe a computation-based approach that enables students to investigate the connections between different biological levels using agent-based, embodied modeling tools.
simulation
NetLogo
predator-prey
agent-based
wolf
fox
Potential Scenario
567
views
69
downloads
0
comments
2023-TechShareNotes. Differential Equations Modeling
TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting questions and problems as well as excellent diagrams and explanations.
population dynamics
predator-prey
circuit
reaction
spring mass
pharmacokinetics
cooling
Free Online Textbook
134
views
50
downloads
0
comments
2014-Andre_De Ross-Modeling Population Dynamics
This course is intended as an introduction to the formulation, analysis and application of mathematical models that describe the dynamics of biological populations.
predator-prey
competition
population
growth
bifrucation
text
Modeling Scenario
200
views
267
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
Modeling Scenario
209
views
187
downloads
0
comments
5-077-MandMAttritionWarfare-ModelingScenario
Students model attrition between two opposing forces using M&M candies and discover a system of linear differential equations of order one, often called the Lanchester equations.
attrition
Lanchester model
predator-predator
N-square Law
Modeling Scenario
267
views
260
downloads
0
comments
1-190-IntroClass-ModelingScenario
Students go through development of ideas in mathematical modeling with differential equations. They encounter fundamental ideas of unlimited population growth, limited population growth and a predator prey system.
population dynamics
predator-prey
logistic
exponential
graphical interpretations
qualitative analysis
Modeling Scenario
197
views
251
downloads
0
comments
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
Modeling Scenario
327
views
1165
downloads
0
comments
6-025-WhalesAndKrill-ModelingScenario
Students will use Excel to observe qualitative behavior in a simulation of a predator-prey model, with blue whales and krill as the predator and prey populations, respectively.
krill
whale
predatpr-prey
Potential Scenario
212
views
75
downloads
0
comments
1975-David_Burghes-Population dynamics An introduction to differential equations
In this paper a number of population models, which lead to differential equations, are derived. First-order variables separable equations are formulated from the Malthusian population model and its extension to include crowding effects.
fish
predator-prey
logistic
population
delay
lag
Article or Presentation
137
views
53
downloads
0
comments
1988-Michael_Intriligator-Dagobert_Brito-A_Predator-Prey_Model_of_Guerrilla_Warfare
The purpose of this paper is to analyze guerrilla warfare by means of a dynamic model. The model suggests specific paths for the evolution of such ward and how such wars might be fought or combatted.
simulation
guerilla warfare
warfare
combat
Modeling Scenario
397
views
102
downloads
0
comments
6-067-LotkaVolterra-ModelingScenario
This modeling scenario guides students through the process of fitting the Lotka-Volterra model of two differential equations to a real time series observational data. Students use the capabilities of R and R studio.
time series
data
competition
Lotka-Volterra
model fitting
prediction
gauseR
experimental
Potential Scenario
162
views
83
downloads
0
comments
2015-Boggess-EtAl-Mathematical Modeling in Ecology - Simulating the Reintroduction of the Extinct Passenger Pigeon
To determine under which conditions a Passenger Pigeon could survive a reintroduction into a natural habitat, we used two types of models.
simulation
agent-based modeling
allee_effect
Passenger Pigeons
forest envirnoment
Holling Type III functional response
Bio-energetics
tree distributions
Modeling Scenario
224
views
414
downloads
0
comments
6-026-IsleRoyaleModeling-ModelingScenario
The primary aim of this project is to draw a connection between differential equations and vector calculus, using population ecology modeling as a vehicle.
ecology
optimization
predator-prey
population
vector calculus
Lagrange multipliers
least squares
Islel Royale
Free Online Textbook
199
views
46
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
General Resource
175
views
42
downloads
0
comments
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
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