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Downloads
Views
Date
Relevance
Potential Scenario
52
views
10
downloads
0
comments
2019-Dimopulos-Heaney-Bukaida-IceCoverageInTheArcticClimateOverTime
Through extensive research, it was found that the region’s oldest and thickest ice on this extent has significantly and continually decreased over the years.
Antarctic foodd webs
Biodiversity decline
ice coverage
polar bear
Potential Scenario
112
views
37
downloads
0
comments
2004-Hill-Lozowski-Sampson-Experiments on ice spikes and a simple growth model
We observed ice-spike growth using time-lapse digital photography, using two water types in two different containers.
ice
ice spike
bulk heat transfer
mass conservation
Modeling Scenario
362
views
239
downloads
0
comments
1-020-IceMelt-ModelingScenario
We offer up the claim of a store catalog that its ice ball mold allows users to ``. . . make ice balls that outlast cubes and won't water drinks down.'' We ask students to build a mathematical model to defend or contradict this claim.
sphere
ice
melt
cube
Modeling Scenario
280
views
149
downloads
0
comments
3-063-FallingBuildingIce-ModelingScenario
We model the fall of a piece of ice which is falling from a high building in New York City.
resistance
falling
gravity
ice
terminal velocity
skyscrapers
Potential Scenario
193
views
71
downloads
0
comments
2013-Herald-EtAl-Simple Climate Models to Illustrate How Bifurcations Can Alter Equilibria and Stability
While college level science classes now frequently include exposure to climate change issues, not all science majors, math majors and future math K-12 teachers are likely to see climate issues in the course of their studies.
climate change
ice caps
tipping point
bifuircation
Modeling Scenario
264
views
215
downloads
0
comments
6-010-SocialCampaign-ModelingScenario
The epidemic modeling problem is formulated as a system of three nonlinear, first order differential equations in which three compartments (S, I, and R) of the population are linked.
disease
growth rate
Judgment and Decision Making
SIR model
infections disease
social campaign
recovery rate
delay time
joining process
quitting process
exponential distribution
Potential Scenario
165
views
69
downloads
0
comments
2015-Zhang-EtAl-On the Selection of ODE Models with Application to Predator-Prey Dynamical Models
We propose a computationally inexpensive approach that employs statistical estimation of the full model, followed by a combination of a least squares approximation (LSA) and the adaptive Lasso.
least-squares approximation
Spline modeling
Monte Carlo simulations
variable selection
adaptive LASSO
Potential Scenario
199
views
70
downloads
0
comments
2014-Eckhoff-EtAl-Fun with maths-exploring implications of mathematical models for malaria eradication
. In this note, four examples demonstrate both the effects of model structures and assumptions and also the benefits of using a diversity of model approaches fomalaria eradication strategies.
vaccine
malaria
migration
eradication
seasonality
Potential Scenario
147
views
44
downloads
0
comments
2006-Ousmane_Mousa_Tessa-Mathematical model for control of measles by vaccination
In this article, we use a compartmental mathematical model of the dynamics of measles spread within a population with variable size to provide this framework.
vaccination
compartment
herd immunity
measles
optimal strategy
Modeling Scenario
341
views
448
downloads
0
comments
1-028-SouthernSweetIcedTea-ModelingScenario
We offer raw data collected from a webcam and a thermometer for evaluating the strength of steeping tea. We ask students to build a mathematical model using the data to predict how long the tea should steep before essentially reaching saturation.
data
Newton's Law of Cooling
tea
sweet tea
Potential Scenario
132
views
48
downloads
0
comments
2007-Ramsay-Hooker-Campbell-Cao-Parameter estimation for differential equations-a generalized smoothing approach
We propose a new method for estimating parameters in models that are defined by a system of non-linear differential equations.
estimating equation
functional data analysis
Gauss–Newton method
parameter cascade
profiled estimation
dynamic system
Free Online Textbook
166
views
55
downloads
0
comments
2017-Craig_Tracy-Lectures on Differential Equations
These notes are for a one-quarter course in differential equations. The approach is to tie the study of differential equations to specific applications in physics with an emphasis on oscillatory systems.
physics
oscillation
Potential Scenario
247
views
62
downloads
0
comments
2011-Cruz-Aponte-Herrera-Valdez-Mitigating effects of vaccination on influenza outbreaks given constraints in stockpile size and daily administrati
We present a SIR-like model that explicitly takes into account vaccine supply and the number of vaccines administered per day and places data-informed limits on these parameters.
vaccination
infection
SIR
epidemic
Potential Scenario
154
views
62
downloads
0
comments
2007-Mogen_Steffensen-Differential Equations in Finance and Life Insurance
The mathematics of finance and the mathematics of life insurance were always intersecting. Life insurance contracts specify an exchange of streams of payments between the insurance company and the contract holder.
finance
disability
life insurance
mortality
insurane
Thiele’s equation
Black-Scholes equation
Potential Scenario
180
views
75
downloads
0
comments
2007-I-Liang_Chern-Mathematical Modeling and Differential Equations
In this course, I will mainly focus on, but not limited to, two important classes of mathematical models by ordinary differential equations: • population dynamics in biology • dynamics in classical mechanics.
population dynamics
ecology
dynamics
classical mechanics
chemical reaction
Potential Scenario
243
views
85
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
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