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
(34)
Modeling Scenario
(4)
Technique Narrative
(1)
Potential Scenario
(21)
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
(34)
ODE
(30)
PDE
(4)
Difference
(2)
Delay
(2)
Integral
(2)
First
(7)
Second
(3)
Higher
(0)
Linear
(2)
Nonlinear
(9)
System
(17)
Constant Coeff
(0)
Homogeneous
(0)
Nonhomogeneous
(0)
Other
(1)
Technique
(34)
Boundary Value Problems
(6)
Eigen Methods
(1)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(23)
Integrating Factor
(0)
Laplace Transform
(0)
Linear Algebra
(0)
Matrices
(0)
Numerical Methods
(2)
Parameter Estimation
(7)
Qualitative Behavior
(3)
Separable
(0)
Separation of Variables
(1)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(6)
Qualitative Analysis
(34)
Equilibrium
(4)
Stability
(7)
Attractor
(1)
Phase Plane
(5)
Graphical analysis
(8)
Eigenvalue analysis
(0)
Parameters
(17)
Other
(10)
Application Area
(34)
Chemistry
(2)
Economics
(4)
Engineering
(0)
Humanities
(0)
Life Sciences
(24)
Mathematics
(26)
Modeling (general)
(28)
Physics
(1)
Social Sciences
(4)
Other
(0)
Course
(34)
Precalculus
(0)
Calculus 1
(2)
Calculus 2
(3)
Calculus 3 (multivariable)
(0)
Differential Equations
(34)
Modeling
(33)
Other
(0)
Course Level
(34)
Introductory
(29)
Upper Level
(30)
Graduate
(0)
High School
(4)
Other
(2)
Lesson Length
(34)
Portion of one class period
(1)
One class period
(4)
Multiple class periods
(0)
One term (semester or quarter)
(1)
One year
(0)
Other
(28)
Technology
(34)
Derive
(0)
Excel
(1)
GeoGebra
(0)
Maple
(1)
Mathematica
(3)
MathCad
(0)
MatLab
(3)
Octave
(0)
Python
(0)
R
(0)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(0)
Other
(28)
Approach
(34)
Directed
(1)
Flipped
(0)
Guided
(4)
Open-ended
(0)
Discussion
(0)
Develop model
(0)
Other
(29)
Skills
(58)
Data collection
(2)
Data analysis
(24)
Programming
(0)
Statistics
(2)
Other
(34)
Key Scientific Process Skills
(5)
Reading research papers
(0)
Reviewing prior research
(0)
Asking a question
(4)
Formulating hypotheses
(5)
Designing/conducting experiments
(0)
Predicting outcomes
(2)
Gathering data/making observations
(0)
Analyzing data
(0)
Interpreting results/data
(0)
Displaying/modeling results/data
(1)
Communicating results
(1)
Translating into mathematics
(0)
Assessment Type
(4)
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
(4)
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
(3)
Written assignment: Literature review
(0)
Pedagogical Approaches
(3)
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
(0)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(3)
Vision and Change Core Competencies - Ability
(5)
Create and develop models
(4)
Use quantitative reasoning
(3)
Design simulations
(1)
Tap into interdisciplinary study
(2)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(0)
Understand the relationship between material and society
(0)
Principles of How People Learn
(5)
Motivates student to learn material
(4)
Focuses student on the material to be learned
(5)
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
(4)
Foundational: factual knowledge & comprehension
(0)
Application & Analysis
(4)
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
168
views
51
downloads
0
comments
2012-Ogunrinde-Sunday-On some models based on second order differential equation
This paper presents some models based on second order differential equations. Such models include interaction between different kinds of species in an environment and pricing policy for optimum inventory level of a firm.
species interaction
pricing policy
optimal inventory
Article or Presentation
103
views
54
downloads
0
comments
2012-R_B_Ogunrinde-J_Sunday-On_some_models_based_on_second_order_differential_equations
This paper presents some models based on second order differential equations. This is a very straightforward article with good explanations of modeling assumptions.
combat
combat model
species interaction
Potential Scenario
231
views
67
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
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
241
views
85
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
Article or Presentation
182
views
45
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
Potential Scenario
153
views
52
downloads
0
comments
2004-Jones-Song-Thomas-Controlling wound healing through debridement
In this article, a system of differential equations that models slough/wound interaction is developed.
bacteria
wound healing
healing
deriding
isocline
Potential Scenario
124
views
71
downloads
0
comments
2006-Shigui_Ruan-Delay differential equations in single species dynamics
In this survey, we shall review various delay differential equations models arising from studying single species dynamics.
allee_effect
delayed biological systems
food limit
periodiciity
recruitment model
Regulation of Haematopoiesis
Potential Scenario
189
views
59
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
Modeling Scenario
266
views
408
downloads
0
comments
3-087-ThanosPopulationDynamicsInteractingSpecies-ModelingScenario
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?
species interactions
predator-prey
competition
Lotka-Volterra
sensitivity analysis
dynamics
population
Potential Scenario
144
views
59
downloads
0
comments
2017-Agmour-EtAl-Optimization of the Two Fishermen's Profits Exploiting Three Competing Species Where Prices Depend on Harvest
The main purpose of this work is to define the fishing effort that maximizes the profit of each fisherman, but all of them have to respect two constraints: the first one is the sustainable management of the resources and the second one is...
Fishing
harvest
Nash equilibrium
optimize
profits
Potential Scenario
109
views
40
downloads
0
comments
2011-Therese-Keane-Combat modelling with partial differential equations
We present work seeking to more realistically represent troop dynamics and to enable a deeper understanding of the nature of conflict.
Lanchester model
troop dynamics
swarming behavior
troop regrouping
losses
non-local terms
local terms
Potential Scenario
205
views
43
downloads
0
comments
2014-Chivers-EtAl-Predator-prey systems depend on a prey refuge
We present an agent-based model which does not require the factors or constraints of previous models to reproduce all six patterns in persistent populations.
Individual & Agent Based Modeling
predator-prey
think-pair-shares
lynx
refuge
prey switching
Mustela-Clethrionomys system
patter oriented
Modeling Scenario
365
views
324
downloads
0
comments
9-005-InvasiveSpeciesModel-ModelingScenario
This scenario takes students through the development of an invasive species partial differential equation model. Basic models are discussed first, which lead students to eventually develop their own model which takes into account dispersion.
Invasive Species
logistic
migration
traveling waves
dispersion
Potential Scenario
209
views
50
downloads
0
comments
2004-Mitchell-von Meien-Krieger-Dalsenter-A review of recent developments in modeling of microbial growth kinetics
Mathematical models are important tools for optimizing the design and operation of solid-state fermentation (SSF) bioreactors. Such models must describe the kinetics of microbial growth.
Filamentous Fungi
solid-state fermentation
growth kinetics
diffusion-reaction
oxygen transfer
Potential Scenario
166
views
70
downloads
0
comments
2011-Yanyu_Xiao-Study of Malaria Transmission Dynamics by Mathematical Models
The novelty lies in the fact that different distribution functions are used to describe the variance of individual latencies. The theoretical results of this project indicate that latencies reduce the basic reproduction number.
infectious disease
infection
malaria
latency
spatial dispersal
multi-species
Potential Scenario
214
views
69
downloads
0
comments
2019-Ekici_Plyley. Inquiry-Based_Modeling_of_Population_Dynamics_With_Logistic_Differential_and_Difference_Equations
Inquiry-based learning activities on modeling and controlling the growth of locally relevant species, such as lionfish or sea turtles, are developed by the authors.
population dynamics
logistic
Inquiry-based modeling
IBL
Potential Scenario
244
views
85
downloads
0
comments
2017-Justin_Krueger-Parameter Estimation Methods for Ordinary Differential Equation Models with Applications to Microbiology
We demonstrate the feasibility of principal differential analysis using simulation studies and then apply the method to intestinal and vaginal microbiota data.
microbiology
Lotka Volterrra
microbiota
Potential Scenario
125
views
55
downloads
0
comments
2002-Faia-Differential Equation Modeling as a Source of Theoretical Insight-Four Disparate Examples
We explore differential equations involving alcoholism, social mobility, excess female mortality, and international arms competition.
sociology
arms races
accumulative advantage
alcoholism
Peter Principle
female mortality
population pressure
occupational mobility
social mobility
Richardson theory of war
Potential Scenario
176
views
56
downloads
0
comments
1972-Suresh_Sethi-Optimal Control of the Vidale-Wolfe Advertising Model
This paper considers an optimal-control problem for the dynamics of the Vidale-Wolfe advertising model, the optimal control being the rate of advertising expenditure to achieve a terminal market share within specified limits.
Optimal Control Theory
advertising
sales
Results 1 - 20 of 34
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
Next
End