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
224
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(63)
Modeling Scenario
(15)
Technique Narrative
(0)
Potential Scenario
(42)
Article or Presentation
(3)
Free Online Textbook
(3)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(63)
ODE
(59)
PDE
(3)
Difference
(7)
Delay
(6)
Integral
(0)
First
(17)
Second
(8)
Higher
(0)
Linear
(7)
Nonlinear
(27)
System
(41)
Constant Coeff
(2)
Homogeneous
(1)
Nonhomogeneous
(9)
Other
(0)
Technique
(63)
Boundary Value Problems
(6)
Eigen Methods
(3)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(52)
Integrating Factor
(1)
Laplace Transform
(1)
Linear Algebra
(0)
Matrices
(0)
Numerical Methods
(14)
Parameter Estimation
(17)
Qualitative Behavior
(16)
Separable
(3)
Separation of Variables
(2)
Series
(0)
Substitution Methods
(0)
Theory (general)
(1)
Undetermined Coefficients
(1)
Variation of Parameters
(0)
Other
(2)
Qualitative Analysis
(544)
Equilibrium
(67)
Stability
(63)
Attractor
(3)
Phase Plane
(29)
Graphical analysis
(151)
Eigenvalue analysis
(6)
Parameters
(365)
Other
(89)
Application Area
(63)
Chemistry
(0)
Economics
(4)
Engineering
(7)
Humanities
(1)
Life Sciences
(35)
Mathematics
(43)
Modeling (general)
(50)
Physics
(9)
Social Sciences
(11)
Other
(0)
Course
(63)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(3)
Calculus 3 (multivariable)
(1)
Differential Equations
(62)
Modeling
(60)
Other
(0)
Course Level
(63)
Introductory
(61)
Upper Level
(61)
Graduate
(1)
High School
(19)
Other
(1)
Lesson Length
(63)
Portion of one class period
(4)
One class period
(9)
Multiple class periods
(2)
One term (semester or quarter)
(0)
One year
(0)
Other
(48)
Technology
(63)
Derive
(0)
Excel
(4)
GeoGebra
(0)
Maple
(3)
Mathematica
(5)
MathCad
(0)
MatLab
(6)
Octave
(1)
Python
(1)
R
(0)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(2)
Other
(44)
Approach
(63)
Directed
(1)
Flipped
(0)
Guided
(14)
Open-ended
(1)
Discussion
(0)
Develop model
(0)
Other
(47)
Skills
(63)
Data collection
(3)
Data analysis
(19)
Programming
(0)
Statistics
(1)
Other
(43)
Key Scientific Process Skills
(16)
Reading research papers
(0)
Reviewing prior research
(3)
Asking a question
(15)
Formulating hypotheses
(16)
Designing/conducting experiments
(2)
Predicting outcomes
(5)
Gathering data/making observations
(4)
Analyzing data
(4)
Interpreting results/data
(4)
Displaying/modeling results/data
(5)
Communicating results
(7)
Translating into mathematics
(0)
Assessment Type
(14)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(0)
Assignment
(0)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(14)
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
(0)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(14)
Written assignment: Literature review
(0)
Pedagogical Approaches
(15)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(0)
Clicker Question
(0)
Collaborative Work
(0)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(2)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(13)
Vision and Change Core Competencies - Ability
(16)
Create and develop models
(16)
Use quantitative reasoning
(13)
Design simulations
(2)
Tap into interdisciplinary study
(3)
Communicate and collaborate with mathematics community
(1)
Communicate and collaborate with other disciplines
(5)
Understand the relationship between material and society
(0)
Principles of How People Learn
(16)
Motivates student to learn material
(15)
Focuses student on the material to be learned
(12)
Develops supportive community of learners
(1)
Leverages differences among learners
(1)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(16)
Foundational: factual knowledge & comprehension
(0)
Application & Analysis
(16)
Synthesis/Evaluation/Creation
(1)
Includes clear efforts on Issues
(0)
Diversity
(0)
Equity
(0)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Modeling Scenario
292
views
133
downloads
0
comments
1-089-SpreadOfDisease-ModelingScenario
In this project I want to use the algebra based concept “difference quotient” to solve differential equations models with the help of Excel. That means even students with only a College Algebra background, can still enjoy differential equation...
SIR model
Proportion
derivative
difference quotient
Sleeping Beauty
contagious disease
Potential Scenario
246
views
61
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
Modeling Scenario
307
views
207
downloads
0
comments
6-011-HumansVsZombies-ModelingScenario
Students analyze the SIR differential equations model in the context of a zombie invasion of a human population. Students analyze a two equation system representing only two populations, humans and zombies and then recovered zombies.
zombies
infection
SIR models
Potential Scenario
275
views
83
downloads
0
comments
2009-Munz-EtAl-When Zombies Attack-Mathematical modelling of an Outbreak of Zombie Infection
We introduce a basic model for zombie infection, determine equilibria and their stability, and illustrate the outcome with numerical solutions.
zombies
infection
epidemic
water treatment
latent infection
quarantine
impulsive eradication
Free Online Textbook
210
views
77
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
Potential Scenario
131
views
39
downloads
0
comments
2008-Yang-EtAl-Differential Equation Model of HIV Infection of CD T-Cells with Delay
Abstract: An epidemic model of HIV infection of CD4+ T-cells with cure rate and delay is studied. We include a baseline ODE version of the model, and a differential-delay model with a discrete time delay.
virus
T cells
Hopf bifurcation
endemic equilibrium
Potential Scenario
197
views
57
downloads
0
comments
2003-Yildirim-Mackey-Feedback Regulation in the Lactose Operon
A mathematical model for the regulation of induction in the lac operon in Escherichia coli is presented.
mRNA
lactose
lactose operon
feedback regulation
Potential Scenario
126
views
48
downloads
0
comments
2012-Arvind_Kumar_Misra-A simple mathematical model for the spread of two political parties
In this paper, a non-linear mathematical model for the spread of two political parties has been proposed and analyzed by using epidemiological approach.
epidemic
compartment
political parties
Potential Scenario
293
views
76
downloads
0
comments
2017-Suebcharoen-Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator
This paper studies the behavior of a predator-prey model with switching and stage-structure for predator.
stage structure
predator
prey
bifurcation
switching
Potential Scenario
216
views
60
downloads
0
comments
2014-Bozkurt-Peker-Mathematical modelling of HIV epidemic and stability analysis
A nonlinear mathematical model of differential equations with piecewise constant arguments is proposed. This model is analyzed by using the theory of both differential and difference equations to show the spread of HIV in a homogeneous population.
disease
logistic
HIV
piecewise constant
India
Potential Scenario
171
views
54
downloads
0
comments
1988-Michael Intriligator-Dagobert Brito-A Predator-Prey Model of Guerrilla Warfare
The authors present a three variable: numbers of guerrillas, numbers of regular (government) soldiers, and size of population controlled by the guerrillas, at time t), nonlinear system of three differential equations.
combat model
guerrilla warfare
government
Potential Scenario
156
views
111
downloads
0
comments
2017-Biswasa-EtAl-Mathematical Modeling Applied to Sustainable Management of Marine Resources
We study a nonlinear mathematical model of fishery management to understand dynamics of a fishery resource system in an aquatic environment that consists of two zones; one free fishing zone and another reserve zone where fishing is strictly...
natural resources
marine resources
fishery model
Potential Scenario
151
views
73
downloads
0
comments
2015-Sebesyen-Farago-Invasive Species Model with Linear Rat Harvesting on Easter Island
In this paper we suggest a natural modification of this model. Namely, we will investigate the case where the amount of the rats is decreased due to some external factor, e.g., exterminations by the people.
carrying capacity
harvest
Easter Island
invasie especies
rats
Roughgarden theorem.
Potential Scenario
165
views
79
downloads
0
comments
2014-Do-Lee-A Differential Equation Model for the Dynamics of Youth Gambling
We examine the dynamics of gambling among young people aged 16–24 years, how prevalence rates of at-risk gambling and problem gambling change as adolescents enter young adulthood, and prevention and control strategies.
reproductive number
Gambling
epidemic
sensitivity index
youth gambling
Potential Scenario
134
views
47
downloads
0
comments
2019-Banuelos_Danet_Flores_Ramos-Epidemiological_Math_Model_Approach_To_Political_System_with_Three_Parties
A nonlinear compartmental model is derived to study the movement between classes of voters with the assumption of a constant population that is homogeneously mixed.
politics
parameters
voting
compartment model
epidemiological model
equilibria
three-party system
Potential Scenario
135
views
42
downloads
0
comments
1998-K_H_Louie_Clark-P_C_D_Newton-Analysis of differential equation models in biology-clover meristem populations
A simple differential equation model (dynamical system) for clover, based on meristem numbers, is outlined and analysed mathematically.
sensitivity analysis
stability analysis
steady states
growing points
buds
meristems
Modeling Scenario
227
views
115
downloads
0
comments
6-045-CholeraTranmission-ModelingScenario
During the project described here, the students will learn how to solve and address a practical problem such as cholera transmission using various mathematical tools.
infectious disease
cholera
endemic
disease-free
transmission rate
waterborne pathogen
Modeling Scenario
393
views
610
downloads
0
comments
6-022-CannibalismPredatorPrey-ModelingScenario
The Lotka-Volterra model tells us that the prey and predator exhibit a shifted cyclic behavior over time. In this module, we look at modifying this prey-predator model to consider the case when there is cannibalism in the predator species.
stability
predator-prey
equilibria
oscillations
cannibalism
phase planes
spiral sinks
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
358
views
351
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
Results 1 - 20 of 63
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
Next
End