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Downloads
Views
Date
Relevance
Potential Scenario
164
views
54
downloads
0
comments
1988-EY_Rodin-N_Taber-Yeast Growth Modelling in a Laboratory
Modeling simple growth with some missing data and doing linear regression for parameter estimation in closed form solution of differential equation model and data.
regression
yeast
growth
Potential Scenario
136
views
70
downloads
0
comments
2015-Sebesyen-Farago-Invasive Species Model with Linear Rat Harvesting on Easter Island
In this paper we suggest a natural modification of this model. Namely, we will investigate the case where the amount of the rats is decreased due to some external factor, e.g., exterminations by the people.
carrying capacity
harvest
Easter Island
invasie especies
rats
Roughgarden theorem.
Potential Scenario
239
views
94
downloads
0
comments
2018-Joseph-EtAl-A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM
In this paper, we investigated a nonlinear differential equation mathematical model to study the spread of asthma in the environmental pollutants from industry and mainly from tobacco smoke from smokers in different type of population.
asthma
tobacco smoke
Liao’s Homotopy analysis Method (
environmental pollutants
Potential Scenario
102
views
86
downloads
0
comments
2015-Jonathon_Easton, Jonathan-Mathematical models of health focusing on diabetes-Delay differential equations and data mining
This is an exhaustive study with very good references of a linear system of four differential equations with and without delay to model diabetes in a human being.
diabetes
health model
Potential Scenario
119
views
71
downloads
0
comments
2010-Roberto_Munoz-Alicea-Mathematical Model for Enzyme Kinetics-Multiple Timescales Analysis
We study a basic model for enzyme substrate reaction. Through several assumptions and via nondimensionalization, we simplify the equations.
kinetics
Enzyme
substrate
nondimensionalization
multiple timescales
Potential Scenario
168
views
57
downloads
0
comments
2008-Lawson-Marion-An Introduction to Mathematical Modelling
This is a broad based set of notes with sections: Building Models, Studying Models, and Using Models. No depth on any model, no solution strategies, but good references to models, and general approaches that apply in most situations are offered.
time series
linear regression
Akaike Information Criterion
m
comparision models
Potential Scenario
134
views
66
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
136
views
51
downloads
0
comments
1999-Meyer-Ausubel-Carrying Capacity-A Model with Logistically Varying Limits
This paper extends the logistic equation to simple growth model with a logistically increasing carrying capacity. This is applied to human population situations in several countries with fits to data.
population dynamics
parameter estimation
limited growth
growth
logisitic
Article or Presentation
160
views
56
downloads
0
comments
2021-Brian_Winkel-Modelling_sublimation_of_carbon_dioxide
We report results in our efforts to model sublimation of carbon dioxide and the associated kinetics order and parameter estimation issues in our model.
data
parameter estimation
carbon dioxide
sublimation
dry ice
Modeling Scenario
1126
views
5404
downloads
0
comments
5-001-LSD-ModelingScenario
We describe the use of a two compartment model of a linear system of first order linear differential equations to model lysergic acid diethylamide (LSD) in the body. We provide the data from the literature.
LSD
Spanish
compartment
pharmacokinetics
lysergic acid diethylamide
Modeling Scenario
1152
views
1241
downloads
0
comments
1-070-FisheryHarvest-ModelingScenario
Students model with logistic growth, harvesting, and diffusion in analyzing ocean fisheries of the Atlantic cod. We help students build models, ever more complex, to capture physical realities. At each stage we ask students to reflect on the model.
logistic
Diffusion
management
harvest
fishery
Modeling Scenario
247
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
Modeling Scenario
266
views
257
downloads
0
comments
3-013-WhiffleBallFall-ModelingScenario
We are given data on the time and position of a whiffle ball as it falls to the ground. We attempt to model the falling ball and we confront the different resistance terms and models.
Akaike Information Criterion
resistance
gravity
Free Body Diagram
force
falling object
Whiffle ball
Modeling Scenario
216
views
463
downloads
0
comments
4-020-AnIEDBlast-ModelingScenario
These three exercises offer students a chance to model with second order ordinary differential equations, how they might incorporate a spring-mass system into a larger model, and how they can use the model to determine the results of a dynamical...
applied mathematics
forces
Free Body Diagram
Improvised Explosive Devices
sum of forces
Potential Scenario
151
views
48
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
Potential Scenario
145
views
75
downloads
0
comments
2014-Do-Lee-A Differential Equation Model for the Dynamics of Youth Gambling
We examine the dynamics of gambling among young people aged 16–24 years, how prevalence rates of at-risk gambling and problem gambling change as adolescents enter young adulthood, and prevention and control strategies.
reproductive number
Gambling
epidemic
sensitivity index
youth gambling
Potential Scenario
115
views
72
downloads
0
comments
2015-Wrona-EtAl-Two-compartment model as a teaching tool for cholesterol homeostasis
To investigate cholesterol transport in the circulatory system, we have previously developed a two-compartment mathematical model. Here, we show how this model can be used as a teaching tool for cholesterol homeostasis
metabolic syndrome
cholesterol
high blood cholesterol
cholesterol homeostasis
Potential Scenario
207
views
64
downloads
0
comments
2009-Munz-EtAl-When Zombies Attack-Mathematical modelling of an Outbreak of Zombie Infection
We introduce a basic model for zombie infection, determine equilibria and their stability, and illustrate the outcome with numerical solutions.
zombies
infection
epidemic
water treatment
latent infection
quarantine
impulsive eradication
Potential Scenario
121
views
45
downloads
0
comments
2019-Banuelos_Danet_Flores_Ramos-Epidemiological_Math_Model_Approach_To_Political_System_with_Three_Parties
A nonlinear compartmental model is derived to study the movement between classes of voters with the assumption of a constant population that is homogeneously mixed.
politics
parameters
voting
compartment model
epidemiological model
equilibria
three-party system
Modeling Scenario
319
views
195
downloads
1
comments
1-092-DashItAll-ModelingSenario
This project uses very basic physics, Newton's Second Law of Motion, to model the motion of a sprinter running down a track. We derive the classic Hill-Keller model for a sprinter exerting ``maximum'' effort as he/she accelerates down a track.
data
running
sprint
Hill-Keller
world record
Olympics
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