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Downloads
Views
Date
Relevance
Potential Scenario
161
views
68
downloads
0
comments
1972-R_C_Rothermel-A Mathematical Model for Predicting Fire Spread in Wildland Fuels
The development of a mathematical model for predicting rate of fire spread and intensity applicable to a wide range of wildland fuels is presented from the conceptual stage through evaluation and demonstration of results to hypothetical fuel models.
prediction
forest fire
fire management
fire spread
fuel
Potential Scenario
139
views
44
downloads
0
comments
2002-Chai-Optimal initial angle to fire a projectile
Assume a projectile is fired without air resistance and lands at a height y above its initial vertical position. What is the optimal initial angle of firing to maximize the horizontal distance traveled by the projectile?”
optimization
projectile motion
launch angle
Modeling Scenario
298
views
270
downloads
0
comments
1-098-NeuronDetection-ModelingScenario
Students study a linear, first order, one-dimensional ordinary differential equation (ODE) and learn how it can help understand basics of neural dynamics. The modeling framework is known in mathematical neuroscience as ``integrate-and-fire''...
biology
neuroscience
neuron physiology
voltage
integrate and fire
threfhols
coincidence detection
RC circuit
Modeling Scenario
358
views
352
downloads
0
comments
4-039-FallingDarts-ModelingScenario
we develop, solve, and analyze a second order differential equation model for free fall incorporating air resistance. Students solve the model using two methods -- reduction of order and separation of variables, and method of undetermined...
optimization
resistance
terminal velocity
muzzle velocity
drag coefficient
free fall
air drag
Potential Scenario
174
views
75
downloads
0
comments
2012-Murray_Bourne-Modeling fish stocks
Discusses many models of harvesting and consequences.
fish
logistic
management
susustainable development
harvest
fish stock
overpopulated
unsustainable
Potential Scenario
182
views
55
downloads
0
comments
2000-Idels-Wang-Harvesting Fisheries Management Strategies With Modified Effort Function
This study concludes that a control parameter beta (the magnitude of the effect of the fish population size on the fishing effort function E), changes not only the rate at which the population goes to equilibrium, but also the equilibrium values.
sustainability
fish
Fishing
management
harvest
fisher
strategy
overfishing
Potential Scenario
160
views
67
downloads
0
comments
2014-Patel-Schlijper-Models of Consumer Behavior
The problem posed to the Study Group was to construct models for consumer behaviour that might be useful in tools for brand management in markets for fast-moving consumer goods.
consumer behavior
market share
Potential Scenario
240
views
98
downloads
0
comments
2017-Chávez-EtAl-Modeling and Analysis of Integrated Pest Control Strategies via Impulsive Differential Equations
The paper is concerned with the development and numerical analysis of mathematical models used to describe complex biological systems in the framework of Integrated Pest Management (IPM).
bifurcations
chaos
impulsive model
limit cycles
hysteretic effects
period-doubling cascades
Potential Scenario
110
views
42
downloads
0
comments
2001-Edwards-Buckmire-A differential equation model of North American cinematic box-office dynamics
A new mathematical model is presented for the box-office dynamics of a motion picture released in North America.
cinema
movies
box-office
Modeling Scenario
308
views
282
downloads
0
comments
1-127-FishHarvesting-ModelingScenario
We offer students a harvesting model for operating a fishery over a 25 year horizon and ask them to write a report on optimal harvesting policy with their analyses for fishing industry experts (not necessarily mathematicians).
Management Of Data
optimal control
fisheries
logistic
harvesting
maximum sustainable yield
Modeling Scenario
348
views
244
downloads
0
comments
5-007-ChemOpt-ModelingScenario
Modeling a chemical reaction and estimating parameters in the model permits optimization of profits from extracting reactants.
optimization
p
Yield and sustainability
nonprofit management
Law of Mass Action
kinetic
reaction
Potential Scenario
195
views
53
downloads
0
comments
2016-Banks-EtAl-Modeling Bumble Bee Population Dynamics with Delay Differential Equations
To provide a tool for projecting and testing sensitivity of growth of populations under contrasting and combined pressures, we propose a delay differential equation model that describes multi-colony bumble bee population dynamics.
population model
Reproduction
spline approximations
Bombus terrestris
neonicotinoids
bumble bee
Potential Scenario
177
views
57
downloads
0
comments
1972-Suresh_Sethi-Optimal Control of the Vidale-Wolfe Advertising Model
This paper considers an optimal-control problem for the dynamics of the Vidale-Wolfe advertising model, the optimal control being the rate of advertising expenditure to achieve a terminal market share within specified limits.
Optimal Control Theory
advertising
sales
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