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
160
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(210)
Modeling Scenario
(66)
Technique Narrative
(1)
Potential Scenario
(125)
Article or Presentation
(11)
Free Online Textbook
(6)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(210)
ODE
(191)
PDE
(15)
Difference
(15)
Delay
(12)
Integral
(2)
First
(73)
Second
(15)
Higher
(2)
Linear
(30)
Nonlinear
(91)
System
(101)
Constant Coeff
(7)
Homogeneous
(22)
Nonhomogeneous
(14)
Other
(6)
Technique
(210)
Boundary Value Problems
(22)
Eigen Methods
(2)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(167)
Integrating Factor
(6)
Laplace Transform
(0)
Linear Algebra
(2)
Matrices
(1)
Numerical Methods
(29)
Parameter Estimation
(73)
Qualitative Behavior
(22)
Separable
(11)
Separation of Variables
(12)
Series
(0)
Substitution Methods
(1)
Theory (general)
(0)
Undetermined Coefficients
(1)
Variation of Parameters
(0)
Other
(17)
Qualitative Analysis
(210)
Equilibrium
(44)
Stability
(44)
Attractor
(2)
Phase Plane
(21)
Graphical analysis
(62)
Eigenvalue analysis
(2)
Parameters
(135)
Other
(32)
Application Area
(210)
Chemistry
(9)
Economics
(21)
Engineering
(10)
Humanities
(4)
Life Sciences
(138)
Mathematics
(130)
Modeling (general)
(167)
Physics
(26)
Social Sciences
(42)
Other
(0)
Course
(210)
Precalculus
(2)
Calculus 1
(3)
Calculus 2
(38)
Calculus 3 (multivariable)
(3)
Differential Equations
(204)
Modeling
(202)
Other
(3)
Course Level
(210)
Introductory
(202)
Upper Level
(193)
Graduate
(3)
High School
(82)
Other
(4)
Lesson Length
(210)
Portion of one class period
(32)
One class period
(30)
Multiple class periods
(13)
One term (semester or quarter)
(4)
One year
(0)
Other
(141)
Technology
(210)
Derive
(0)
Excel
(20)
GeoGebra
(2)
Maple
(4)
Mathematica
(17)
MathCad
(0)
MatLab
(18)
Octave
(0)
Python
(2)
R
(1)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(14)
Other
(146)
Approach
(210)
Directed
(3)
Flipped
(0)
Guided
(64)
Open-ended
(3)
Discussion
(1)
Develop model
(0)
Other
(142)
Skills
(210)
Data collection
(29)
Data analysis
(83)
Programming
(4)
Statistics
(4)
Other
(121)
Key Scientific Process Skills
(68)
Reading research papers
(0)
Reviewing prior research
(5)
Asking a question
(65)
Formulating hypotheses
(58)
Designing/conducting experiments
(12)
Predicting outcomes
(21)
Gathering data/making observations
(19)
Analyzing data
(27)
Interpreting results/data
(30)
Displaying/modeling results/data
(31)
Communicating results
(22)
Translating into mathematics
(1)
Assessment Type
(66)
Assessment of individual student performance
(1)
Assessment of student groups/teams
(1)
Assignment
(1)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(59)
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
(61)
Written assignment: Literature review
(0)
Pedagogical Approaches
(60)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(4)
Clicker Question
(0)
Collaborative Work
(4)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(2)
Physical Model
(2)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(53)
Vision and Change Core Competencies - Ability
(68)
Create and develop models
(65)
Use quantitative reasoning
(63)
Design simulations
(9)
Tap into interdisciplinary study
(15)
Communicate and collaborate with mathematics community
(3)
Communicate and collaborate with other disciplines
(11)
Understand the relationship between material and society
(1)
Principles of How People Learn
(66)
Motivates student to learn material
(62)
Focuses student on the material to be learned
(62)
Develops supportive community of learners
(2)
Leverages differences among learners
(1)
Reveals prior knowledge
(2)
Requires student to do the bulk of the work
(2)
Bloom's Cognitive Level
(59)
Foundational: factual knowledge & comprehension
(3)
Application & Analysis
(59)
Synthesis/Evaluation/Creation
(1)
Includes clear efforts on Issues
(2)
Diversity
(1)
Equity
(2)
Inclusion
(1)
Enhancement of all
(1)
Applied Filters
Downloads
Views
Date
Relevance
Potential Scenario
122
views
41
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
Potential Scenario
133
views
49
downloads
0
comments
2018-Winkle-Igoshin-Bennett-Josic-Ott-Modeling_Mechanical_Interactions_in_Growing_Populations_of_Rod-Shaped_Bacteria
Here, we present an agent-based model that allows growing cells to detect and respond to mechanical interactions.
bacteria
agent-based
populationb
rod-shaped
cellular growth
Free Online Textbook
174
views
56
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
142
views
61
downloads
0
comments
2011-Nakul-Chitnis-Introduction to Mathematical Epidemiology - Deterministic Compartmental Model
Deterministic compartmental models form the simplest models in the mathematical study of infectious disease dynamics. They assume that a population is homogenous (all people are the same) and the only distinction is in their disease state.
sensitivity
disease
infection
threshold
compartment
bifrucation
Potential Scenario
116
views
35
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
129
views
38
downloads
0
comments
1999-Meyer-Ausubel-Carrying Capacity-A Model with Logistically Varying Limits
This paper extends the logistic equation to simple growth model with a logistically increasing carrying capacity. This is applied to human population situations in several countries with fits to data.
population dynamics
parameter estimation
limited growth
growth
logisitic
Potential Scenario
112
views
40
downloads
0
comments
2001-Tsoularis-Analysis of logistic growth models
variety of growth curves have been developed to model both unpredated, intraspecific population dynamics and more general biological growth. We further review and compare several such models.
logistic
Gompertz
Verhulst
Pearl and Reed
Bertalanffy
Potential Scenario
99
views
47
downloads
0
comments
2014-Murillo-EtAl-Vertical Transmission in a Two-Strain Model of Dengue Fever
The model is used to show that lower transmission rates of DENV-2 Asian are sufficient for displacing DENV-2 American in the presence of vertical transmission.
Peru
vector-host model
dengue
epidemmiology
vertical transmission
Modeling Scenario
296
views
247
downloads
0
comments
1-120-CircularRollerCoaster-ModelingScenario
Students study the dynamics of a circular roller coaster and work out the equations of motion in the ideal case as well as considering the interesting complication of including kinetic friction. This problem is an excellent introduction for students
population dynamics
energy
Fluid Mechanics
m
friction
roller coaster
integration by8 parts
Modeling Scenario
282
views
393
downloads
0
comments
6-016-PandemicModeling-ModelingScenario
The recent coronavirus outbreak has infected millions of people worldwide and spread to over 200 countries. How can we use differential equations to study the spread of coronavirus?
population dynamics
infectious disease
disease
Ebola
e
SIR models
COVID19
pandemic
epidemic
reproduction number
Modeling Scenario
439
views
141
downloads
0
comments
1-087-ThanosPopulationDynamics-ModelingScenario
In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species?
logistic
exponential
population
Thanos
Modeling Scenario
366
views
230
downloads
0
comments
1-024-MalariaControl-ModelingScenario
This project offers students a chance to make policy recommendations based on the analysis of models using both linear (exponential decay) and non-linear (logistic growth) differential equations.
population dynamics
malaria
Policy
Decision-making
Euler's method
pharmacokinetics
mosquito
improved Euler's method
Huen's method
US Army
Modeling Scenario
195
views
83
downloads
0
comments
1-067-ModelingWithSigmoidCurves-ModelingScenario
The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or S-shape.
logistic
Gompertz
sigmoid
Verhulst-Pearl
Modeling Scenario
229
views
103
downloads
0
comments
1-143-PopulationModelVariationsMATLAB-ModelingScenario
Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models.
population dynamics
ecology
logistic growth
bifurcation theory
slope fields
extinction
harvesting
qualitative analysis
stocking
Potential Scenario
119
views
40
downloads
0
comments
2016-Lewnard-Townsend-Climatic and evolutionary drivers of phase shifts in the plague epidemics of colonial India
Our analysis shows that historical datasets can yield powerful insights into the transmission dynamics of reemerging disease agents with which we have limited contemporary experience to guide quantitative modeling and inference.
infectious disease
p
Vector-Borne Disease
lague
plague
Article or Presentation
108
views
41
downloads
0
comments
2001-A_Tsoularis-Analysis_of_logistic_growth_models
The paper presents an historical development of the logistic equation in its various forms, including Verhulst, Pearl and Reed, Gompertz, Bertalanffy, Richards, and others.
logistic
population
growth curve
limited growth
Gompertz
history
logistic equation
Verhulst
Pearl and Reed
Bertalanffy
Richards
Potential Scenario
547
views
68
downloads
0
comments
2023-TechShareNotes. Differential Equations Modeling
TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting questions and problems as well as excellent diagrams and explanations.
population dynamics
predator-prey
circuit
reaction
spring mass
pharmacokinetics
cooling
Potential Scenario
89
views
27
downloads
0
comments
2008-Jai-Li-Differential equations models for interacting wild and transgenic mosquito populations
We formulate and study continuous-time models, based on systems of ordinary differential equations, for interacting wild and transgenic mosquito populations.
Mosquito borne diseases
populations
Holling-II-type mating rates
transgenic mosquitoes
nonhyperbolic equilibrium
mosquitoes
Potential Scenario
151
views
36
downloads
0
comments
2000-Dwayne-Anderson-Estimates of the future membership of the Church of Jesus Christ of Latter-Day Saints
Thus, the purpose of this paper is to model the membership of the Church of the Latter Day Saints from the available data on membership from 1844 to 2000.
population dynamics
logistic
Latter-Day Saints
Modeling Scenario
211
views
157
downloads
0
comments
6-018-ExploringSIRModel-ModelingScenario
Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to understand, to apply, and to develop SIR models.
population dynamics
sensitivity
disease
SIR models
epidemic
rumors
Results 21 - 40 of 210
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
7
Next
End