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
163
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(127)
Modeling Scenario
(21)
Technique Narrative
(2)
Potential Scenario
(79)
Article or Presentation
(10)
Free Online Textbook
(14)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(127)
ODE
(119)
PDE
(12)
Difference
(8)
Delay
(6)
Integral
(0)
First
(40)
Second
(23)
Higher
(4)
Linear
(26)
Nonlinear
(27)
System
(70)
Constant Coeff
(6)
Homogeneous
(6)
Nonhomogeneous
(10)
Other
(2)
Technique
(127)
Boundary Value Problems
(23)
Eigen Methods
(2)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(87)
Integrating Factor
(2)
Laplace Transform
(5)
Linear Algebra
(2)
Matrices
(2)
Numerical Methods
(17)
Parameter Estimation
(45)
Qualitative Behavior
(13)
Separable
(2)
Separation of Variables
(3)
Series
(0)
Substitution Methods
(0)
Theory (general)
(4)
Undetermined Coefficients
(0)
Variation of Parameters
(1)
Other
(19)
Qualitative Analysis
(127)
Equilibrium
(15)
Stability
(19)
Attractor
(1)
Phase Plane
(7)
Graphical analysis
(22)
Eigenvalue analysis
(2)
Parameters
(82)
Other
(35)
Application Area
(127)
Chemistry
(15)
Economics
(17)
Engineering
(14)
Humanities
(1)
Life Sciences
(60)
Mathematics
(96)
Modeling (general)
(100)
Physics
(26)
Social Sciences
(13)
Other
(0)
Course
(127)
Precalculus
(0)
Calculus 1
(1)
Calculus 2
(16)
Calculus 3 (multivariable)
(0)
Differential Equations
(126)
Modeling
(118)
Other
(0)
Course Level
(127)
Introductory
(122)
Upper Level
(115)
Graduate
(3)
High School
(31)
Other
(3)
Lesson Length
(127)
Portion of one class period
(9)
One class period
(13)
Multiple class periods
(4)
One term (semester or quarter)
(12)
One year
(0)
Other
(94)
Technology
(127)
Derive
(0)
Excel
(5)
GeoGebra
(1)
Maple
(3)
Mathematica
(8)
MathCad
(0)
MatLab
(11)
Octave
(2)
Python
(2)
R
(1)
SAGE
(2)
Desmos
(0)
Calculator
(0)
None
(5)
Other
(100)
Approach
(127)
Directed
(5)
Flipped
(0)
Guided
(20)
Open-ended
(3)
Discussion
(1)
Develop model
(1)
Other
(102)
Skills
(127)
Data collection
(9)
Data analysis
(45)
Programming
(1)
Statistics
(3)
Other
(83)
Key Scientific Process Skills
(23)
Reading research papers
(0)
Reviewing prior research
(2)
Asking a question
(23)
Formulating hypotheses
(20)
Designing/conducting experiments
(4)
Predicting outcomes
(8)
Gathering data/making observations
(4)
Analyzing data
(9)
Interpreting results/data
(12)
Displaying/modeling results/data
(9)
Communicating results
(10)
Translating into mathematics
(0)
Assessment Type
(22)
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
(20)
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
(2)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(19)
Written assignment: Literature review
(0)
Pedagogical Approaches
(23)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(1)
Clicker Question
(0)
Collaborative Work
(2)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(3)
Physical Model
(2)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(17)
Vision and Change Core Competencies - Ability
(23)
Create and develop models
(22)
Use quantitative reasoning
(20)
Design simulations
(4)
Tap into interdisciplinary study
(7)
Communicate and collaborate with mathematics community
(2)
Communicate and collaborate with other disciplines
(5)
Understand the relationship between material and society
(1)
Principles of How People Learn
(24)
Motivates student to learn material
(24)
Focuses student on the material to be learned
(22)
Develops supportive community of learners
(2)
Leverages differences among learners
(2)
Reveals prior knowledge
(1)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(24)
Foundational: factual knowledge & comprehension
(3)
Application & Analysis
(22)
Synthesis/Evaluation/Creation
(2)
Includes clear efforts on Issues
(0)
Diversity
(0)
Equity
(0)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Potential Scenario
131
views
58
downloads
0
comments
2015-Joshi-EtAl-Optimal control of an SIR model with changing behavior through an education campaign
We study stability analysis and use optimal control theory on the system of differential equations to achieve the goal of minimizing the infected population (while minimizing the cost).
SIR models
vaccine
population
water treatment
susceptible
education campaign
minimizing cost
infected
Potential Scenario
124
views
50
downloads
0
comments
2004-Ledzewicz-Schattler-Application of Control Theory in Modelling Cancer Chemotherapy
In this paper we discuss how to incorporate more realistic medical aspects of chemotherapy which hitherto have been neglected in the models.
optimal control
drug resistance
pharmacokinetics
pharmacodynamics
chemotherapy
Potential Scenario
116
views
49
downloads
0
comments
2008-Ratneesh_Suri-Optimal harvesting strategies for fisheries-differential equations approach
We develop and investigate the harvesting model in both deterministic and stochastic settings. We first employ the Expected Net Present Value approach and determine optimal harvesting policy using various optimization techniques including optimal...
optimal control
sustainable yield
maximum sustainable yield
harvest
Expected Net Present Value
calculus of variations
dynamic programming
maximum economic yield
Article or Presentation
134
views
21
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
148
views
43
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
Potential Scenario
206
views
75
downloads
0
comments
2017-Xiang_Liu-Mathematical Studies of Optimal Economic Growth Model with Monetary
In this paper, efforts will be made to study an extended Neoclassic economic growth model derived from Solow-Swan Model and Ramsey-Cass-Koopsman Model.
Optimal Control Theory
Jacobian
Solow-Swan model
Monetary policy
optimal economic growth
Modeling Scenario
377
views
194
downloads
0
comments
6-005-InsectColonySurvivalOpt-ModelingScenario
We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number of different energy functions.
optimization
Optimal Control Theory
insect colony
optimal control
natural resources
Pointryagin's Maximum Principle
control variable
Potential Scenario
127
views
49
downloads
0
comments
2011-Gaff-Lenhart-Use of optimal control models to predict treatment time for managing tick-borne disease
Tick-borne diseases have been on the rise recently, and correspondingly, there is an increased interest in implementing control measures to decrease the risk. Optimal control provides an ideal tool to identify the best method for reducing risk.
disease
optimal control
TICK
tick mode
ehrlichiosis
bang bang control
Modeling Scenario
219
views
185
downloads
0
comments
1-079-HomeHeating-ModelingScenario
This project concerns using Newton's Law of Cooling to model the heating of a house. In particular, if one is going away for awhile, is it more economical to leave a house at a desired temperature or reheat it upon return?
Optimal Control Theory
temperature
heat
furnace
Newton's Law of Cooling
home heating
specific heat
Potential Scenario
145
views
46
downloads
0
comments
2017-Sim-EtAl-Optimal control of a coupled tanks system with model-reality differences
In this paper, an efficient computational approach is proposed to optimize and control a coupled tanks system.
optimal control
flow
tanks
coupled tanks
Modeling Scenario
322
views
543
downloads
0
comments
1-155-CruiseControl-ModelingScenario
In this project we illustrate the design of a proportional-integral-derivative (PID) cruise control algorithm for an automobile. PID control is one of the most common techniques in control engineering.
PID controller
feedback control
Control theory
cruise control
automobile
closed-loop control
input-ouput
block diagram
Potential Scenario
125
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
172
views
54
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
125
views
38
downloads
0
comments
2014-Yahdi-EtAl-Modeling and Sensitivity Analysis of the Role of Biodiversity to Control Pest Damage in Agroecosystems
The paper provides a mathematical framework for cost-effective and environmentally safe strategies to minimize alfalfa damage from pests in alfalfa agroecosystems with optimal biodiversity levels.
sensitivity analysis
predator
steady state
alfalfa
Shannon diversity index
plant herbivore
Potential Scenario
215
views
85
downloads
0
comments
2017-Chávez-EtAl-Modeling and Analysis of Integrated Pest Control Strategies via Impulsive Differential Equations
The paper is concerned with the development and numerical analysis of mathematical models used to describe complex biological systems in the framework of Integrated Pest Management (IPM).
bifurcations
chaos
impulsive model
limit cycles
hysteretic effects
period-doubling cascades
Modeling Scenario
270
views
184
downloads
0
comments
1-127-FishHarvesting-ModelingScenario
We offer students a harvesting model for operating a fishery over a 25 year horizon and ask them to write a report on optimal harvesting policy with their analyses for fishing industry experts (not necessarily mathematicians).
Management Of Data
optimal control
fisheries
logistic
harvesting
maximum sustainable yield
General Resource
165
views
40
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
Modeling Scenario
253
views
101
downloads
0
comments
1-118-SolowEconomicGrowth-ModelingScenario
Students construct and analyze the celebrated Solow-Swan model of economic growth theory. The project is divided into three sequential parts to teach students to understand, develop, and analyze a simple nonlinear model of economic dynamics.
optimization
economics
steady state
growth
Solow-Swan model
capital
production
labor
Golden Rule of Economic Growth
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
153
views
42
downloads
0
comments
2018-Nyanginja-Angwenyi-Musyoka-Orwa - Mathematical modeling of the effects of public health education on tungiasis
In this paper, we formulate and study a mathematical model for the dynamics of jigger infestation incorporating public health education using systems of ordinary differential equations and computational simulations.
disease
endemic
reproduction number
tungiasis
jigger infestation
Results 1 - 20 of 127
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End