Skip to Main Content
Powered by
QUBES
Login
close
SCUDEM
EXPO
SIMIODE EXPO 2024
SIMIODE EXPO 2023
SIMIODE EXPO 2022
SIMIODE EXPO 2021
Textbook
Redeem Access or Download Code
Third Party Sales
Browse
Starter Kit
Authors
About
Newsletter
Members
170
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(140)
Modeling Scenario
(51)
Technique Narrative
(1)
Potential Scenario
(76)
Article or Presentation
(6)
Free Online Textbook
(5)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(140)
ODE
(127)
PDE
(10)
Difference
(14)
Delay
(5)
Integral
(0)
First
(62)
Second
(5)
Higher
(1)
Linear
(21)
Nonlinear
(74)
System
(60)
Constant Coeff
(5)
Homogeneous
(20)
Nonhomogeneous
(10)
Other
(5)
Technique
(140)
Boundary Value Problems
(13)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(112)
Integrating Factor
(5)
Laplace Transform
(0)
Linear Algebra
(1)
Matrices
(0)
Numerical Methods
(19)
Parameter Estimation
(47)
Qualitative Behavior
(14)
Separable
(9)
Separation of Variables
(11)
Series
(0)
Substitution Methods
(1)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(12)
Qualitative Analysis
(140)
Equilibrium
(34)
Stability
(30)
Attractor
(0)
Phase Plane
(16)
Graphical analysis
(46)
Eigenvalue analysis
(0)
Parameters
(90)
Other
(20)
Application Area
(140)
Chemistry
(4)
Economics
(12)
Engineering
(4)
Humanities
(1)
Life Sciences
(104)
Mathematics
(79)
Modeling (general)
(103)
Physics
(10)
Social Sciences
(31)
Other
(0)
Course
(140)
Precalculus
(2)
Calculus 1
(3)
Calculus 2
(31)
Calculus 3 (multivariable)
(3)
Differential Equations
(135)
Modeling
(133)
Other
(3)
Course Level
(140)
Introductory
(133)
Upper Level
(129)
Graduate
(1)
High School
(57)
Other
(4)
Lesson Length
(140)
Portion of one class period
(26)
One class period
(24)
Multiple class periods
(10)
One term (semester or quarter)
(3)
One year
(0)
Other
(86)
Technology
(140)
Derive
(0)
Excel
(15)
GeoGebra
(2)
Maple
(4)
Mathematica
(15)
MathCad
(0)
MatLab
(12)
Octave
(0)
Python
(1)
R
(0)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(11)
Other
(93)
Approach
(140)
Directed
(1)
Flipped
(0)
Guided
(51)
Open-ended
(2)
Discussion
(1)
Develop model
(0)
Other
(88)
Skills
(140)
Data collection
(16)
Data analysis
(59)
Programming
(0)
Statistics
(3)
Other
(78)
Key Scientific Process Skills
(52)
Reading research papers
(0)
Reviewing prior research
(3)
Asking a question
(51)
Formulating hypotheses
(45)
Designing/conducting experiments
(8)
Predicting outcomes
(15)
Gathering data/making observations
(14)
Analyzing data
(20)
Interpreting results/data
(22)
Displaying/modeling results/data
(23)
Communicating results
(17)
Translating into mathematics
(1)
Assessment Type
(52)
Assessment of individual student performance
(1)
Assessment of student groups/teams
(1)
Assignment
(0)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(48)
Answer clicker-type question(s)
(0)
Answer essay question(s)
(0)
Answer fill in the blank question(s)
(0)
Answer multiple choice question(s)
(0)
Answer short answer question(s)
(0)
Answer true/false question(s)
(0)
Create a concept map
(0)
Create a diagram, drawing, figure, etc.
(0)
Create a website
(0)
Create graph, table etc. to present data
(0)
Design an experiment or research study
(0)
Design/present a poster
(0)
Give an oral presentation
(0)
Informal in-class report
(0)
Interpret data
(0)
Order items (e.g. strip sequence)
(0)
Participate in discussion
(0)
Peer evaluation
(0)
Post-test
(0)
Pre-test
(0)
Produce a video or video response
(0)
Respond to metacognition/reflection prompt
(0)
Self evaluation
(0)
Solve problem(s)
(0)
Written assignment: One minute paper
(0)
Written assignment: Brochure
(0)
Written assignment: Essay
(1)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(48)
Written assignment: Literature review
(0)
Pedagogical Approaches
(46)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(2)
Clicker Question
(0)
Collaborative Work
(2)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(0)
Physical Model
(1)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(42)
Vision and Change Core Competencies - Ability
(52)
Create and develop models
(49)
Use quantitative reasoning
(50)
Design simulations
(6)
Tap into interdisciplinary study
(10)
Communicate and collaborate with mathematics community
(1)
Communicate and collaborate with other disciplines
(4)
Understand the relationship between material and society
(0)
Principles of How People Learn
(52)
Motivates student to learn material
(50)
Focuses student on the material to be learned
(50)
Develops supportive community of learners
(1)
Leverages differences among learners
(1)
Reveals prior knowledge
(1)
Requires student to do the bulk of the work
(1)
Bloom's Cognitive Level
(44)
Foundational: factual knowledge & comprehension
(0)
Application & Analysis
(44)
Synthesis/Evaluation/Creation
(0)
Includes clear efforts on Issues
(2)
Diversity
(1)
Equity
(2)
Inclusion
(1)
Enhancement of all
(1)
Applied Filters
Downloads
Views
Date
Relevance
Potential Scenario
184
views
68
downloads
0
comments
2014-XM-Huang-Ordinary Differential Equation Model and its Application in the Prediction Control of Population
In this paper, we study two kinds of ordinary differential equation models, i.e., Malthus model and Logistic model, and discuss their applications in the prediction control of population.
population dynamics
Logistic model
Malthus Model
Population Prediction Control
Potential Scenario
176
views
50
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
188
views
38
downloads
0
comments
2012-Michael_Kerckhove-From Population Dynamics to Partial Differential Equations
This article illustrates PDE models for location-dependent carrying capacities, migrations, and the dispersion of a population.
population dynamics
logistic equation
location-dependent carrying capacities
Potential Scenario
143
views
37
downloads
0
comments
2007-Hui_Luo-Population Modeling by Differential Equations
A general model for the population of Tibetan antelope is constructed. The present model shows that the given data is reasonably logistic.
population dynamics
extinction
logistic
Tibetan antelope
Potential Scenario
159
views
44
downloads
0
comments
2000-Armson-Cockroft-Stone-Modelling a barnacle goose population
This paper explores a number of models for the growth of a barnacle goose population. These geese spend their summers breeding in Spitsbergen and then winter in Caerlaverock on the Solway Firth. The population growth is modelled using exponential...
population dynamics
exponential
logistic equation
Barnacle Geese
Potential Scenario
168
views
41
downloads
0
comments
2011-Brian_Winkel-Parameter Estimates in Differential Equation Models for Population Growth
We estimate the parameters present in several differential equation models of population growth, specifically logistic growth models and multiple species competition models.
logistic
population
paramecia
Gause
gradient search
Potential Scenario
123
views
40
downloads
0
comments
2010-Del-Ciello-EtAl-Modeling Disease
We model the transmission of a disease through a population. Such modeling is very important to the study of epidemiology and the practice of medicine.
disease
spread
carries
symptomatic
asymptomatic
Modeling Scenario
363
views
142
downloads
0
comments
1-039-StochasticPopModels-ModelingScenario
We develop strategies for creating a population model using some simple probabilistic assumptions. These assumptions lead to a system of differential equations for the probability that a system is in state (or population size) n at time t.
Probability
population dynamics
Variance
Mean
stochastic
deterministic
Modeling Scenario
224
views
173
downloads
0
comments
1-066-USCensusModeling-ModelingScenario
The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled with the exponential, logistic, or Gompertz functions.
data
logistic
population
Gompertz
census
goodness of fit
Potential Scenario
195
views
81
downloads
0
comments
2017-Rosario-Antony-Mathematical Model for Future Population Scenario In India And China – An Econometric Approach
A mathematical model including dynamical systems, statistical models and differential equations involves variety abstract structures. Population growth is one of the main issues in India and China which are located in Asia.
logistic
India
vital coefficients
Asia
Carrying Vapacitiy
annual growth rate
Potential Scenario
146
views
43
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
138
views
40
downloads
0
comments
2006-Michael_Coleman-Population Modeling with Ordinary Differential Equations
We will investigate some cases of differential equations population models beyond the separable case and then expand to some basic systems of ordinary differential equations.
population dynamics
Article or Presentation
147
views
37
downloads
0
comments
2011-Brian_Winkel-Parameter_Estimates_in_Differential_Equation_Models_for_Population_Growth
We estimate the parameters present in several differential equation models of population growth, specifically single species exponential and logistic growth, and multiple species competition and predation models.
population model
parameter estimation
population
parameter
Modeling Scenario
192
views
598
downloads
0
comments
1-124-WorldPopulation-ModelingScenario
We build models of world population using data to estimate growth rate.
population dynamics
human
growth rate
varying growth rate
Potential Scenario
142
views
46
downloads
0
comments
2017-Lia_Vas-Modeling With Differential Equations
This is a set of class notes for Lia Vas in which examples from population, falling objects, tank mixing, growth and threshold, are offered.
thresholds
falling object
growth
tank mixing
Potential Scenario
187
views
58
downloads
0
comments
2006-Graves-Peckham-Pastor-2D differential equations model for mutualism
We develop from basic principles a two-species differential equations model which exhibits mutualistic population interactions.
population dynamics
Lotka-Volterra
growth rate
mutualism
Lichen
Modeling Scenario
254
views
428
downloads
0
comments
1-170-CensusModeling-ModelingScenario
Students who have studied models for population are likely to be familiar with the exponential and the logistic population models. The goal here is to explore the role of modeling assumptions in choosing which model to use.
logistic growth
exponential
population
U.S. Census Data
assumption
Google Sheets
Unites States
Guatemala
Potential Scenario
165
views
36
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
121
views
52
downloads
0
comments
2010-Keesom-EtAl-Fishing for Answers Investigating Sustainable Harvesting Ra
The purpose of this report is to determine and propose a model by which an optimal harvesting frequency can be determined to maintain a steady population of Alaskan salmon.
fisheries
Euler's method
nonlinear
logistic harvesting
canabalism
salmon
Potential Scenario
201
views
67
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
Results 1 - 20 of 140
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End