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Downloads
Views
Date
Relevance
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
Modeling Scenario
357
views
230
downloads
0
comments
7-011-CoupledSystemLaplace-ModelingScenario
Differential equations and Laplace transforms are an integral part of control problems in engineering systems. We consider a baby warming device.
transfer function
polycarbonate
baby heater
coupled system
heating
Modeling Scenario
367
views
236
downloads
0
comments
1-024-MalariaControl-ModelingScenario
This project offers students a chance to make policy recommendations based on the analysis of models using both linear (exponential decay) and non-linear (logistic growth) differential equations.
population dynamics
malaria
Policy
Decision-making
Euler's method
pharmacokinetics
mosquito
improved Euler's method
Huen's method
US Army
Modeling Scenario
246
views
122
downloads
0
comments
1-089-SpreadOfDisease-ModelingScenario
In this project I want to use the algebra based concept “difference quotient” to solve differential equations models with the help of Excel. That means even students with only a College Algebra background, can still enjoy differential equation...
SIR model
Proportion
derivative
difference quotient
Sleeping Beauty
contagious disease
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
175
views
54
downloads
0
comments
2017-GR_Gustafson-Differential Equations Course Materials
There are many applications from compartment and cascade analysis, recycling brine tank, home heating with multiple rooms, chemostat, microbes, heartbeats, lidocaine, nutrient flow in an aquarium, biomass transfer, pesticides, forecasting prices,...
chemostat
microbes
biomass
forecasting
transfer
compartment
pesticides
earthquake
tank
heating
lidocaine
brine
heartbeats
nutrient flow
aquarium
electric networks
circuits
logging
building
cascade
Potential Scenario
146
views
59
downloads
0
comments
2017-Andras_Domokos-Differential Equations - Theory and Applications – Notes
This is a terrific set of notes with models and applications woven into the material at every opportunity and data as well. This is introductory differential equations with attention to detail and motivation.
Newton's Second Law of Motion
Newton's Law of Cooling
biochemical reactions
Poiseuille’s Law
stopping distance
Potential Scenario
113
views
50
downloads
0
comments
2008-Abramson-Mathematical modeling of the spread of infectious diseases
These are informal notes, mostly based on the bibliography listed at the end and on recent papers in the field. The practical use of these models is based on the fact that they can be kept realistic enough.
infectious disease
bibliography
epidemic
cowpox
smallpox
complex networks
spread disease
Potential Scenario
112
views
42
downloads
0
comments
2008-Abramson-Mathematical modeling of the spread of infectious diseases
These are informal notes, mostly based on the bibliography listed at the end and on recent papers in the field. The practical use of these models is based on the fact that they can be kept realistic enough.
infectious disease
epidemic
cowpox
smallpox
complex networks
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
Potential Scenario
180
views
41
downloads
0
comments
1980-Peastrel-Lynch-Armenti-Terminal velocity of a shuttlecock in vertical fall
We have performed a straightforward vertical fall experiment for a case where the effects of air resistance are important and directly measurable.
falling
terminal velocity
shuttlecock
vertical fall
Article or Presentation
132
views
49
downloads
0
comments
1981-Nielsen_Francois-Rachel_Rosenfeld-Substantive_Interpretations_of_Differential_Equation_Models
The interpretation of parameters of dynamic models is illustrated with reference to research on two substantive topics: political mobilization and intragenerational mobility.
differential equations
dynamical systems
First order linear
intragenerational mobility
political mobilization
mobility
Free Online Textbook
183
views
91
downloads
0
comments
2021-G_Nagy-Ordinary_Differential_Equations
This is an introduction to ordinary differential equations. We describe the main ideas to solve certain differential equations, like first order scalar equations, second order linear equations, and systems of linear equations.
differential equations
textbook
Modeling Scenario
192
views
255
downloads
0
comments
9-125-BeamModeling-ModelingScenario
This modeling scenario examines the deflection of a cantilever beam under two different distributed loads. Students will have the opportunity to conduct experiments with their own cantilever beam or use data provided to build a model.
Fluid Mechanics
beam
cantilever
impulse
Laplace transform
boundary condition
fourth order
Modeling Scenario
280
views
126
downloads
0
comments
1-115-ModelingWithFirstOrderODEs-ModelingScenario
Several models using first order differential equations are offered with some questions on formulating a differential equations model with solutions provided.
bacteria
falling object
Newton's Law of Cooling
drug
cooling
drag
Modeling Scenario
230
views
384
downloads
0
comments
6-065-InternetPlatformUsers-ModelingScenario
A model estimating the volume of users interacting through a two-sided Internet platform (allowing interaction of two types of users) will teach students how to analyze a 2-dimensional dynamical system.
dynamics
flow
conserved
fixed points
cyclet
internet platform
diverghence
Jacobian
attracting
repelling
nodes
stable
saddle
spiral
Potential Scenario
173
views
53
downloads
0
comments
2015-Valerie_Billard-Pharmacokinetic-pharmacodynamic relationship of anesthetic drugs - from modeling to clinical use
The purpose of this short review is to describe the basis of pharmacokinetics and modeling, the concentration-effects relationship, and drug interactions modeling to offer to anesthesiologists and non-anesthesiologists an overview of the rules to...
anesthesia
pharmacokinetics
pharmacodynamic
anesthetic
Potential Scenario
114
views
82
downloads
0
comments
2015-Liang-EtAl-Advanced ordinary differential equation based head modelling for Chinese marionette art preservation
This paper addresses the heritage preservation of the marionette head carving by digitalizing the head models with a novel modelling technique using ordinary differential equations (ODEs).
digitization
control
marionette
Chinese marionette
head carving
Potential Scenario
102
views
47
downloads
0
comments
2014-Murillo-EtAl-Vertical Transmission in a Two-Strain Model of Dengue Fever
The model is used to show that lower transmission rates of DENV-2 Asian are sufficient for displacing DENV-2 American in the presence of vertical transmission.
Peru
vector-host model
dengue
epidemmiology
vertical transmission
Potential Scenario
124
views
48
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
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