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
180
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(37)
Modeling Scenario
(12)
Technique Narrative
(0)
Potential Scenario
(20)
Article or Presentation
(2)
Free Online Textbook
(2)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(37)
ODE
(32)
PDE
(1)
Difference
(1)
Delay
(4)
Integral
(1)
First
(10)
Second
(0)
Higher
(0)
Linear
(2)
Nonlinear
(23)
System
(30)
Constant Coeff
(1)
Homogeneous
(2)
Nonhomogeneous
(0)
Other
(1)
Technique
(37)
Boundary Value Problems
(2)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(29)
Integrating Factor
(0)
Laplace Transform
(0)
Linear Algebra
(1)
Matrices
(1)
Numerical Methods
(6)
Parameter Estimation
(15)
Qualitative Behavior
(7)
Separable
(0)
Separation of Variables
(0)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(4)
Qualitative Analysis
(37)
Equilibrium
(9)
Stability
(10)
Attractor
(1)
Phase Plane
(4)
Graphical analysis
(8)
Eigenvalue analysis
(0)
Parameters
(20)
Other
(7)
Application Area
(37)
Chemistry
(1)
Economics
(3)
Engineering
(1)
Humanities
(0)
Life Sciences
(32)
Mathematics
(24)
Modeling (general)
(32)
Physics
(2)
Social Sciences
(4)
Other
(0)
Course
(37)
Precalculus
(0)
Calculus 1
(1)
Calculus 2
(2)
Calculus 3 (multivariable)
(2)
Differential Equations
(37)
Modeling
(33)
Other
(0)
Course Level
(37)
Introductory
(35)
Upper Level
(33)
Graduate
(0)
High School
(9)
Other
(2)
Lesson Length
(37)
Portion of one class period
(4)
One class period
(6)
Multiple class periods
(2)
One term (semester or quarter)
(2)
One year
(0)
Other
(25)
Technology
(37)
Derive
(0)
Excel
(5)
GeoGebra
(0)
Maple
(0)
Mathematica
(1)
MathCad
(0)
MatLab
(2)
Octave
(0)
Python
(0)
R
(1)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(1)
Other
(29)
Approach
(37)
Directed
(2)
Flipped
(0)
Guided
(10)
Open-ended
(1)
Discussion
(0)
Develop model
(0)
Other
(25)
Skills
(37)
Data collection
(2)
Data analysis
(18)
Programming
(0)
Statistics
(2)
Other
(20)
Key Scientific Process Skills
(11)
Reading research papers
(0)
Reviewing prior research
(1)
Asking a question
(10)
Formulating hypotheses
(11)
Designing/conducting experiments
(2)
Predicting outcomes
(4)
Gathering data/making observations
(1)
Analyzing data
(3)
Interpreting results/data
(4)
Displaying/modeling results/data
(4)
Communicating results
(2)
Translating into mathematics
(0)
Assessment Type
(11)
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
(9)
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
(11)
Written assignment: Literature review
(0)
Pedagogical Approaches
(9)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(0)
Clicker Question
(0)
Collaborative Work
(1)
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
(8)
Vision and Change Core Competencies - Ability
(11)
Create and develop models
(11)
Use quantitative reasoning
(9)
Design simulations
(3)
Tap into interdisciplinary study
(3)
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
(11)
Motivates student to learn material
(10)
Focuses student on the material to be learned
(10)
Develops supportive community of learners
(0)
Leverages differences among learners
(1)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(1)
Bloom's Cognitive Level
(12)
Foundational: factual knowledge & comprehension
(1)
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
173
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
120
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
273
views
56
downloads
0
comments
2017-Suebcharoen-Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator
This paper studies the behavior of a predator-prey model with switching and stage-structure for predator.
stage structure
predator
prey
bifurcation
switching
Potential Scenario
159
views
39
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
Potential Scenario
227
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
333
views
488
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
91
views
35
downloads
0
comments
2005-HP-Hirst-Using the Historical Development of Predator-Prey Models to Teach Mathematical Modeling
Using the Historical Development of Predator-Prey Models to Teach Mathematical Modeling.
predator-prey
history
Potential Scenario
126
views
43
downloads
0
comments
2006-Cooke-Elderkin-Huang-Predator-Prey interactions with delays due to juvenile maturation
This paper focuses on predator-prey models with juvenile/mature class structure for each of the predator and prey populations in turn, further classified by whether juvenile or mature individuals are active with respect to the predation process.
predator-prey
host-parasite
bifurcation
age structre
maturation delay
Potential Scenario
189
views
43
downloads
0
comments
2010-Shaza_Hussein-Predator-Prey Modeling
The objective of this project was to create five projections of animal populations based on a simple predator-prey model and explore the trends visible.
population dynamics
predator-prey
logistic equation
Endangered Cats
decreasing population
rabbits
foxes
Potential Scenario
172
views
68
downloads
0
comments
2016-Devaki-Swathi-System of Differential Equations in Prey Predator Model
Predation relationship exists in ecological niches throughout the world. This is the species interaction which will be mathematically analyzed and embodied in this work.
extinction
Coevolution
predator
Lotka Volterra equations
pre
Modeling Scenario
365
views
422
downloads
0
comments
6-068-VisualizingPredator-PreyCycles
In this modeling scenario, we propose a gentle introduction to limit cycles using nullcline analysis and a spreadsheet graphical approach via the fourth-order Runge-Kutta method. We will be offering three predator-prey models, each more complex...
nullclines
predator-prey
Geometry
predator
Runge-Kutta
prey
limit cycle
Potential Scenario
137
views
52
downloads
0
comments
1935 GFGause Article Predator Prey Oscillations
N/A
Lotka-Volterra
predator
paramecium
prey
cycle
oscillate
Article or Presentation
149
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
144
views
60
downloads
0
comments
2015-Zhang-EtAl-On the Selection of ODE Models with Application to Predator-Prey Dynamical Models
We propose a computationally inexpensive approach that employs statistical estimation of the full model, followed by a combination of a least squares approximation (LSA) and the adaptive Lasso.
least-squares approximation
Spline modeling
Monte Carlo simulations
variable selection
adaptive LASSO
Potential Scenario
190
views
54
downloads
0
comments
2011-Lucas_Pulley-Analyzing Predator-Prey Models Using Systems of Ordinary Linear Differential Equations
This research focused on applying biological mathematics to analyzing predation relationships, especially the relationship between the Canadian Lynx and the Snowshoe Hare.
simulation
predator-prey
Lotka-Volterra
population
Canadian Lynx
Snowshoe Hare
critical values
Potential Scenario
146
views
49
downloads
0
comments
1988-Michael Intriligator-Dagobert Brito-A Predator-Prey Model of Guerrilla Warfare
The authors present a three variable: numbers of guerrillas, numbers of regular (government) soldiers, and size of population controlled by the guerrillas, at time t), nonlinear system of three differential equations.
combat model
guerrilla warfare
government
Modeling Scenario
234
views
347
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
244
views
76
downloads
0
comments
2006-Wilensky-Reisman-Thinking Like a Wolf a Sheep or a Firefly
We describe a computation-based approach that enables students to investigate the connections between different biological levels using agent-based, embodied modeling tools.
simulation
NetLogo
predator-prey
agent-based
wolf
fox
Potential Scenario
561
views
69
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
Free Online Textbook
125
views
39
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
Results 1 - 20 of 37
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
Next
End