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Downloads
Views
Date
Relevance
Modeling Scenario
168
views
86
downloads
0
comments
1-036-NeutralBuoyancy-ModelingScenario
An object may hang suspended at, say, ten foot depth in a column of water if at ten feet underwater the density of the object equals the density of water. We study this phenomenon
Density
buoyancy
Archimedes’ Principle
float
neutral buoyance
Modeling Scenario
476
views
194
downloads
0
comments
5-012-LipoproteinModeling-ModelingScenario
Data from a study on the amounts of low-density-lipoprotein (LDL), form of cholesterol, in blood plasma is presented. Students build, validate, and use a compartment model of the kinetic exchange of the LDL between body tissue and blood plasma.
wildlife
low-density-lipoprotein
tracer
compartment model
cholesterol
blood plasma
body tissue
Potential Scenario
130
views
46
downloads
0
comments
1986-Cook-Witten-One-dimensional linear and logistic harvesting models
Some of the results in the literature on simple one-dimensional, density dependent, discrete and continuous models-with and without harvesting-are reviewed.
logistic
continuous
population
linear
discrete
harvestinbg
Potential Scenario
177
views
61
downloads
0
comments
2011-Nancy_Rodrıguez-Applied Partial Differential Equations in Crime Modeling and Biological Aggregation
In the first part we study a fully-parabolic system of PDEs for residential burglary ‘hotspots’ (spatio-temporal areas of high density of crime). In this work we are concerned with the existence and uniqueness of solutions of this model. In
biology
Diffusion
Keller-Segel model
chemotaxis
crime
Potential Scenario
248
views
38
downloads
0
comments
2009-Das-EtAl-Bioeconomic harvesting of a pre-predator fishery
This paper deals with the problem of non-selective harvesting of a prey–predator system by using a reasonable catch-rate function instead of usual catch-per-unit-effort hypothesis.
predator-prey
harvesting
Pontryagin’s maximum principle
bioeconomic
bionomic equilibrium
biotechnical productivity
catch-rate function
optimal equilibrium
Potential Scenario
130
views
48
downloads
0
comments
2012-Yuan_Yuan-A coupled plankton system with instantaneous and delayed predation
We present two simple plankton population models: one has instantaneous predation, another has delayed predation.
phytoplankton
bifurcation
orbits
herbivorous zooplankton
effect of fish
maturation time delay
Potential Scenario
110
views
40
downloads
0
comments
2011-Therese-Keane-Combat modelling with partial differential equations
We present work seeking to more realistically represent troop dynamics and to enable a deeper understanding of the nature of conflict.
Lanchester model
troop dynamics
swarming behavior
troop regrouping
losses
non-local terms
local terms
Free Online Textbook
210
views
79
downloads
0
comments
2016-Rob_deBoer-Population Dynamics A Graphical Approach
This book is an introduction into modeling population dynamics in ecology. Because there are several good textbooks on this subject, the book needs a novel ecological niche to justify its existence.
mathematical model
stability
competition
SIR
bifurcation
consumption
population population dynamics
general replication
nonlinear density dependencies
functional response
persistence
phase plan analysis
Modeling Scenario
305
views
207
downloads
0
comments
1-051-OneTankSaltModel-ModelingScenario
A large tank initially contains 60 pounds of salt dissolved into 90 gallons of water. Salt water flows in at a rate of 4 gallons per minute, with a salt density of 2 pounds per gallon. The incoming water is mixed in with the contents of the tank...
compartment
salt
tank
mixing
flow
Modeling Scenario
289
views
169
downloads
0
comments
3-009-BallDropInWater-ModelingScenario
We conduct an analysis of a falling ball in liquid to determine its terminal velocity and to ascertain just what radius ball for a given mass density is necessary to attain a designated terminal velocity.
resistance
gravity
falling body
terminal velocity
buoyancy
Modeling Scenario
285
views
214
downloads
0
comments
1-108-PoissonProcess-ModelingScenario
In this project students learn to derive the probability density function (pdf) of the Poisson distribution and the cumulative distribution (cdf) of the waiting time. They will use them to solve problems in stochastic processes.
Probability
s
stochastic processes
Poisson process
waiting time
arrival
Potential Scenario
135
views
51
downloads
0
comments
2007-Zenker-Rubin-Clermont-From inverse problems in mathematical physiology to quantitative differential diagnoses
The improved capacity to acquire quantitative data in a clinical setting has generally failed to improve outcomes in acutely ill patients, suggesting a need for advances in computer-supported data interpretation and decision making.
physiology
inverse problem
Potential Scenario
180
views
53
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
Modeling Scenario
245
views
141
downloads
0
comments
3-027-BobbingDropping-ModelingScenario
We present two exercises in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law of Motion and Archimedes' Principle.
drug resistance
directed
buoyancy
free fall
static equilibrium
displacement
Potential Scenario
211
views
60
downloads
0
comments
2012-Augustus-Wali-Mathematical Modeling of Uganda Population Growth
The purpose of this paper focuses on the application of logistic equation to model the population growth of Uganda using data from 1980 to 2010 (inclusive).
population growth
logistic growth
Drug and Alcohol detoxification
carrying capacity
vital coefficients
Potential Scenario
144
views
54
downloads
0
comments
2008-Ratneesh_Suri-Optimal harvesting strategies for fisheries-differential equations approach
We develop and investigate the harvesting model in both deterministic and stochastic settings. We first employ the Expected Net Present Value approach and determine optimal harvesting policy using various optimization techniques including optimal...
optimal control
sustainable yield
maximum sustainable yield
harvest
Expected Net Present Value
calculus of variations
dynamic programming
maximum economic yield
Modeling Scenario
792
views
369
downloads
1
comments
1-128-RocketFlight-ModelingScenario
We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight under power and then without power followed by its...
resistance
Flight
Rocketry
mass
Newton's Second Law of Motion
thrust
Free Body Diagram
apex
rocket
Technique Narrative
377
views
208
downloads
0
comments
1-009-Bifurcation-TechniqueNarrative
We lead students to investigate first-order differential equations that contain unknown parameters. Students discover what happens to the qualitative behavior of solutions to these equations as these parameters vary.
bifurcation
qualitative behavior
bifurcation diagram
Modeling Scenario
335
views
149
downloads
0
comments
1-105-AnimalFall-ModelingScenario
This project uses Newton's Second Law of Motion to model a falling animal with a resistance term proportional to cross sectional area of the animal, presumed to be spherical in shape.
animal
Netwon's Second Law of Motion
falling body
terminal velocity
air resistance
Newton
air friction
fall
Modeling Scenario
241
views
447
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
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