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
174
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(58)
Modeling Scenario
(13)
Technique Narrative
(1)
Potential Scenario
(36)
Article or Presentation
(4)
Free Online Textbook
(3)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(58)
ODE
(53)
PDE
(4)
Difference
(4)
Delay
(3)
Integral
(2)
First
(20)
Second
(3)
Higher
(0)
Linear
(6)
Nonlinear
(23)
System
(34)
Constant Coeff
(0)
Homogeneous
(2)
Nonhomogeneous
(0)
Other
(1)
Technique
(58)
Boundary Value Problems
(7)
Eigen Methods
(2)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(45)
Integrating Factor
(0)
Laplace Transform
(0)
Linear Algebra
(0)
Matrices
(0)
Numerical Methods
(7)
Parameter Estimation
(22)
Qualitative Behavior
(7)
Separable
(1)
Separation of Variables
(3)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(7)
Qualitative Analysis
(58)
Equilibrium
(8)
Stability
(10)
Attractor
(2)
Phase Plane
(7)
Graphical analysis
(14)
Eigenvalue analysis
(1)
Parameters
(38)
Other
(10)
Application Area
(58)
Chemistry
(4)
Economics
(6)
Engineering
(0)
Humanities
(0)
Life Sciences
(42)
Mathematics
(41)
Modeling (general)
(46)
Physics
(1)
Social Sciences
(8)
Other
(0)
Course
(58)
Precalculus
(0)
Calculus 1
(2)
Calculus 2
(7)
Calculus 3 (multivariable)
(1)
Differential Equations
(58)
Modeling
(56)
Other
(0)
Course Level
(58)
Introductory
(52)
Upper Level
(51)
Graduate
(0)
High School
(13)
Other
(3)
Lesson Length
(58)
Portion of one class period
(5)
One class period
(10)
Multiple class periods
(0)
One term (semester or quarter)
(1)
One year
(0)
Other
(43)
Technology
(58)
Derive
(0)
Excel
(4)
GeoGebra
(0)
Maple
(2)
Mathematica
(7)
MathCad
(0)
MatLab
(4)
Octave
(0)
Python
(0)
R
(1)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(0)
Other
(45)
Approach
(58)
Directed
(1)
Flipped
(0)
Guided
(13)
Open-ended
(0)
Discussion
(0)
Develop model
(0)
Other
(44)
Skills
(58)
Data collection
(2)
Data analysis
(24)
Programming
(0)
Statistics
(2)
Other
(34)
Key Scientific Process Skills
(14)
Reading research papers
(0)
Reviewing prior research
(0)
Asking a question
(13)
Formulating hypotheses
(12)
Designing/conducting experiments
(1)
Predicting outcomes
(3)
Gathering data/making observations
(2)
Analyzing data
(5)
Interpreting results/data
(4)
Displaying/modeling results/data
(5)
Communicating results
(5)
Translating into mathematics
(0)
Assessment Type
(13)
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
(13)
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
(12)
Written assignment: Literature review
(0)
Pedagogical Approaches
(12)
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
(10)
Vision and Change Core Competencies - Ability
(13)
Create and develop models
(11)
Use quantitative reasoning
(11)
Design simulations
(2)
Tap into interdisciplinary study
(4)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(1)
Understand the relationship between material and society
(0)
Principles of How People Learn
(13)
Motivates student to learn material
(12)
Focuses student on the material to be learned
(12)
Develops supportive community of learners
(0)
Leverages differences among learners
(0)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(12)
Foundational: factual knowledge & comprehension
(0)
Application & Analysis
(12)
Synthesis/Evaluation/Creation
(0)
Includes clear efforts on Issues
(0)
Diversity
(0)
Equity
(0)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Potential Scenario
121
views
73
downloads
0
comments
2015-Doust-Saraj-The logistic modeling population having harvesting factor
The present paper deals with the logistic equation having harvesting factor, which is studied in two cases constant and non-constant.
logistic
harvest
harvesting factor
Potential Scenario
131
views
59
downloads
0
comments
2005-Saifullah-Mathematical Modeling With Differential Equations
This article aims to provide the students some basic modeling skills, which will have applications to a wide variety of problems.
species interactions
word equation
interactive software
Potential Scenario
181
views
72
downloads
0
comments
1957-Axelrod_ Brady_Witkop_Evarts-The Distribution and Metabolism of Lysergic Acid Diethylamide
The development of a specific and sensitive method for the estimation of LSD in biological materials has enabled us to study the tissue distribution, excretion, rate of biotransformation, and metabolism of the drug, as well as the subcellular...
mathematical model
data
LSD
Metabolism
bloodstream
lysergic acid diethylamide
distribution
Modeling Scenario
441
views
146
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
Article or Presentation
147
views
33
downloads
0
comments
2010-Kar-Chakraborty-Bioeconomic_modelling_of_a_prey_predator_system_using_differential_algebraic_equations
We propose a biological economic model based on prey-predator dynamics where the prey species are continuously harvested and predation is considered with type II functional response.
economics
bifurcation
harvest
fishery
equilibrium
differential algebraic equation
Potential Scenario
118
views
75
downloads
0
comments
2018-Banerjee-EtAl-Prey-Predator Model with a Nonlocal Bistable Dynamics of Prey
The primary goal of our present work is to consider nonlocal consumption of resources in a spatiotemporal prey-predator model with bistable reaction kinetics for prey growth in the absence of predators.
predator-prey
nonlocal consumption
Turing bifurcation
spatial Hopf bifurcation
spatio-temporal pattern
prey growth
Potential Scenario
226
views
35
downloads
0
comments
2009-Das-EtAl-Bioeconomic harvesting of a pre-predator fishery
This paper deals with the problem of non-selective harvesting of a prey–predator system by using a reasonable catch-rate function instead of usual catch-per-unit-effort hypothesis.
predator-prey
harvesting
Pontryagin’s maximum principle
bioeconomic
bionomic equilibrium
biotechnical productivity
catch-rate function
optimal equilibrium
Modeling Scenario
310
views
464
downloads
0
comments
6-007-FunctionsAndDerivativesInSIRModels-ModelingScenario
Given a system of differential equations, how do the solution graphs compare with the graphs of the differential equations? Students tackle this question using SIR models for well-known infectious diseases.
epidemiology
species interactions
derivatives
visualization
infection
SIR models
Law of Mass Action
Free Online Textbook
401
views
85
downloads
0
comments
2012-Brian_Ingalls-Mathematical Modelling in Systems Biology An Introduction
This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and answers, and many rich examples.
spatial
sensitivity analysis
gene regulatory networks
stochastic
bifurcation
metabolic networks
electrophysiology
transduction
rate laws
biochemical reactions
Potential Scenario
157
views
38
downloads
0
comments
2009-Chellaboina-EtAl-Modeling And Analysis-Mass Action Kinetics
Mass-action kinetics are used in chemistry and chemical engineering to describe the dynamics of systems of reactions, that is, reaction networks. These models are a special form of compartmental systems, involving mass- and energy-balance relations.
dynamical systems
chemical reaction
reaction network
mass action
Potential Scenario
261
views
33
downloads
0
comments
2008-Claire_Vailance-Reaction_Kinetics-Course_Notes
This is but one of several set of notes which may interest the reader on chemical kinetics.
kinetics
parameters
rate constant
chemical kinetics
reactions
Article or Presentation
225
views
57
downloads
0
comments
2011-Lorelei_Koss-Sustainability_in_a_differential_equations_course_case_study_of_Easter_Island
Easter Island is a fascinating example of resource depletion and population collapse, and its relatively short period of human habitation combined with its isolation lends itself well to investigation by students in an ordinary differential course.
differential equations
sustainability
population
Easter Island
collapse
environmental collapse
Technique Narrative
314
views
152
downloads
0
comments
1-009-Bifurcation-TechniqueNarrative
We lead students to investigate first-order differential equations that contain unknown parameters. Students discover what happens to the qualitative behavior of solutions to these equations as these parameters vary.
bifurcation
qualitative behavior
bifurcation diagram
Potential Scenario
139
views
62
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
Modeling Scenario
279
views
162
downloads
0
comments
6-021-AcornsRodentsSnakes-ModelingScenario
Students are given the opportunity to build a three tropic level model in which snakes eat rodents, rodents eat acorns, and acorns grow and occasionally mast.
predation
forest
snakes
rodents
acorns
trophic level
masting
Free Online Textbook
139
views
47
downloads
0
comments
2016-Langtangen-Pedersen - Scaling of Differential Equations
Nowadays, the greatest practical benefit of scaling is related to running numerical simulations, since scaling greatly simplifies the choice of values for the input data and makes the simulations results more widely applicable.
scaling
dimensionless
continuum mechanics
General Resource
169
views
42
downloads
0
comments
2003-Knorrenschild-Gross-Text Books on Mathematical Modeling in Biology
Text Books on Mathematical Modeling in Biology Compiled from the Internet by Michael Knorrenschild,
biology
Mathematical Biology
textbook
text
Free Online Textbook
190
views
42
downloads
0
comments
2016-I-Liang_Chern-Mathematical Modeling_and_Ordinary_Differential_Equations
We let the author's Table of Contents speak for itself.
differential equations
modeling
textbook
Results 41 - 58 of 58
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
Next
End