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
(45)
Modeling Scenario
(20)
Technique Narrative
(0)
Potential Scenario
(19)
Article or Presentation
(2)
Free Online Textbook
(3)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(45)
ODE
(41)
PDE
(3)
Difference
(1)
Delay
(3)
Integral
(1)
First
(21)
Second
(5)
Higher
(2)
Linear
(10)
Nonlinear
(28)
System
(30)
Constant Coeff
(3)
Homogeneous
(9)
Nonhomogeneous
(3)
Other
(1)
Technique
(45)
Boundary Value Problems
(5)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(39)
Integrating Factor
(0)
Laplace Transform
(2)
Linear Algebra
(2)
Matrices
(1)
Numerical Methods
(11)
Parameter Estimation
(14)
Qualitative Behavior
(24)
Separable
(3)
Separation of Variables
(6)
Series
(0)
Substitution Methods
(0)
Theory (general)
(1)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(1)
Qualitative Analysis
(45)
Equilibrium
(12)
Stability
(12)
Attractor
(1)
Phase Plane
(6)
Graphical analysis
(19)
Eigenvalue analysis
(1)
Parameters
(26)
Other
(9)
Application Area
(94)
Chemistry
(6)
Economics
(7)
Engineering
(12)
Humanities
(2)
Life Sciences
(45)
Mathematics
(41)
Modeling (general)
(78)
Physics
(25)
Social Sciences
(17)
Other
(1)
Course
(45)
Precalculus
(0)
Calculus 1
(1)
Calculus 2
(8)
Calculus 3 (multivariable)
(0)
Differential Equations
(44)
Modeling
(39)
Other
(0)
Course Level
(45)
Introductory
(43)
Upper Level
(40)
Graduate
(0)
High School
(21)
Other
(1)
Lesson Length
(45)
Portion of one class period
(7)
One class period
(11)
Multiple class periods
(2)
One term (semester or quarter)
(2)
One year
(1)
Other
(24)
Technology
(45)
Derive
(0)
Excel
(7)
GeoGebra
(2)
Maple
(2)
Mathematica
(5)
MathCad
(0)
MatLab
(5)
Octave
(2)
Python
(1)
R
(1)
SAGE
(2)
Desmos
(0)
Calculator
(0)
None
(4)
Other
(28)
Approach
(45)
Directed
(3)
Flipped
(0)
Guided
(18)
Open-ended
(1)
Discussion
(1)
Develop model
(0)
Other
(25)
Skills
(45)
Data collection
(2)
Data analysis
(19)
Programming
(0)
Statistics
(1)
Other
(27)
Key Scientific Process Skills
(19)
Reading research papers
(0)
Reviewing prior research
(2)
Asking a question
(18)
Formulating hypotheses
(17)
Designing/conducting experiments
(0)
Predicting outcomes
(4)
Gathering data/making observations
(3)
Analyzing data
(5)
Interpreting results/data
(6)
Displaying/modeling results/data
(6)
Communicating results
(3)
Translating into mathematics
(0)
Assessment Type
(19)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(1)
Assignment
(0)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(15)
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)
(1)
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
(19)
Written assignment: Literature review
(0)
Pedagogical Approaches
(18)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(0)
Clicker Question
(0)
Collaborative Work
(2)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(0)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(16)
Vision and Change Core Competencies - Ability
(20)
Create and develop models
(20)
Use quantitative reasoning
(18)
Design simulations
(3)
Tap into interdisciplinary study
(5)
Communicate and collaborate with mathematics community
(1)
Communicate and collaborate with other disciplines
(4)
Understand the relationship between material and society
(1)
Principles of How People Learn
(20)
Motivates student to learn material
(19)
Focuses student on the material to be learned
(17)
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
(20)
Foundational: factual knowledge & comprehension
(2)
Application & Analysis
(20)
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
Potential Scenario
203
views
103
downloads
0
comments
2018-LA_Peletier-Ordinary Differential Equations in Pharmacodynamics
Good mix of theory, application, solution technique in a number of areas of applications of differential equations. Develops qualitative behavior issues. Exercises, but not about models, more about the mathematics only.
compartment model
pharmacokinetics
pharmacodynamics
orbits
turnover
Modeling Scenario
253
views
219
downloads
0
comments
1-135-FishHarvesting-ModelingScenario
This short activity will walk students through a guided list of questions to help them to understand how the stability of equilibrium changes with changes in a model parameter, in this case the rate of harvesting fish.
population dynamics
fish
stability
bifurcation
harvest
Modeling Scenario
313
views
290
downloads
0
comments
1-190-IntroClass-ModelingScenario
Students go through development of ideas in mathematical modeling with differential equations. They encounter fundamental ideas of unlimited population growth, limited population growth and a predator prey system.
population dynamics
predator-prey
logistic
exponential
graphical interpretations
qualitative analysis
Potential Scenario
131
views
57
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
Free Online Textbook
166
views
58
downloads
0
comments
2014-Andre_De Ross-Modeling Population Dynamics
This course is intended as an introduction to the formulation, analysis and application of mathematical models that describe the dynamics of biological populations.
predator-prey
competition
population
growth
bifrucation
text
Potential Scenario
207
views
57
downloads
0
comments
1986-Istvan_Gyori-Connections between compartment systems pipes and integro-differential equations
In this paper we give the mathematical description of models in which the mass transport between compartments requires a given definite time or transit times are distributed according to given probability distribution functions.
physiology
pipeline
compartment
blood
circulation
integro-differential equation
Modeling Scenario
399
views
296
downloads
0
comments
1-102C-CancerGrowth-ModelingScenario
This module guides students in the use of differential equation models to predict cancer growth and study treatment outcomes. Several classical models for cancer growth are presented including exponential, power law, Bertalanffy, logistic, and...
optimization
cancer
logistic
exponential
prediction
tumor
growth
data fitting
power law
Bertanffy
Gompertz
Modeling Scenario
585
views
330
downloads
0
comments
6-020-AlgaePopulationSelf-Replenishment-ModelingScenario
This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, in 1994. A
algae
population
Mexico
qualitative
compartment
linearization
Jacobian
lak
nondimensionalization
pplane
Modeling Scenario
355
views
1176
downloads
0
comments
6-025-WhalesAndKrill-ModelingScenario
Students will use Excel to observe qualitative behavior in a simulation of a predator-prey model, with blue whales and krill as the predator and prey populations, respectively.
krill
whale
predatpr-prey
Potential Scenario
131
views
49
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
194
views
63
downloads
0
comments
2006-TK_Kar-Controllability and optimal harvesting of a prey–predator model incorporating a prey refuge
This paper deals with a prey–predator model incorporating a prey refuge and harvesting of the predator species.
survival
predator-prey
harvest
refuge
Pontryagin’s maximal principle
hiding
optimal harvest
Potential Scenario
118
views
51
downloads
0
comments
1987-Claude-Marmasse-Studies on differential equations of enzyme kinetics-Biomolecular scheme
The integral curve is compared with the solutions given by the two classical approximations to the problem: it is shown that the steady-state approximation is to be preferred to the rapid equilibrium theory as a general method.
steady-state model
isoclines
enzyme kinetics
Article or Presentation
167
views
30
downloads
0
comments
2013-Brian_Winkel-An_Optimal_Control_Model_in_Insect_Colonies
we find and develop background material on an application of optimal control theory to model the evolutionary strategy of an insect colony to produce the maximum number of queen or reproducer insects in the colony at the end of a season.
insect colony
optimal control
parameter
Potential Scenario
124
views
70
downloads
0
comments
2019-Fred_Brauer-The_Final_Size_of_a_Serious_Epidemic
In an epidemic of a serious disease, there is likely to be behavioral response that decreases the epidemic size considerably.
epidemic
final size
behavioral response
SIER model
relations
Modeling Scenario
317
views
476
downloads
0
comments
1-065-AlgalBlooms-ModelingScenario
This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, starting in 1994.
direction fields
tool:dfield
algae
harmful algae blooms
population
compartment
Lake Chapala
Modeling Scenario
244
views
101
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
312
views
139
downloads
0
comments
1-104-InfectionRisk-ModelingScenario
This project is designed to examine differences between the exponential and logistic growth models in biology and how to apply these models in solving epidemic questions.
infection
logistic
exponential
covid
carrying capacity
Modeling Scenario
276
views
135
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
General Resource
1055
views
147
downloads
0
comments
Instructor Solutions Second Edition SIMIODE Textbook HTML Version
This is material we make available for instructors teaching a modeling-first approach to differential equations when using the Second Edition of SIMIODE Textbook, Differential Equations: A Toolbox for Modeling the Real World in HTML Version.
textbook
html
SIMIODE textbook
Second Edition
Modeling Scenario
397
views
617
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
Results 1 - 20 of 45
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
Next
End