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Downloads
Views
Date
Relevance
Potential Scenario
122
views
40
downloads
0
comments
2017-Ben_Finio-Science Buddies – Linear & Nonlinear Springs Tutorial
This tutorial provides a basic summary of linear and nonlinear springs and their associated equations for force, stiffness, and potential energy.
spring mass
stiffness
springs
potential energy
force
nonlinear spring
linear spring
Potential Scenario
250
views
95
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
132
views
32
downloads
0
comments
2008-Padir-EtAl-Teaching Differential Equations in a Diverse Classroom
The interesting portion of this paper are the descriptions of student projects offered: Vibrations of a 3-Story Building in an Earthquake, Triple Pendulum, Nonlinear Circuit. Phase portraits were offered in each case.
circuit
earthquake
vibration
pendulum
buiklding
triple pendumlum
nonlinear circuit
Potential Scenario
142
views
55
downloads
0
comments
2018-Adeniji-EtAl-InverseProblemHolling-TannerModel
We consider the inverse problem of parameter identification of nonlinear system of ODEs for a specific case of complete information about solution of the Holling-Tanner model for finite number of points for the finite time interval.
goal function
absolute error curves
invers method
holling-Tanner model
Potential Scenario
220
views
71
downloads
0
comments
2014-Vance-Eads-Sensitivity Analysis of a Three-Species Nonlinear Response Omnivory Model with Predator Stage Structure
We investigate a three-species nonlinear response omnivory model incorporating stage structure in the top predator. The model consists of four coupled ordinary differential equations involving fourteen parameters.
stage structure
sensitivity analysis
mortality
omnivore
omnivory model
search rates
Potential Scenario
141
views
46
downloads
0
comments
2011-Nguyen-Shi-Modeling the absorption circulation and metabolism of tirapazamine
This apparently is a student project and it develops the kinetic model, uses Matlab for numerical solution, analytic solution and numerical solution.
absorption
Michaelis-Menten
Metabolism
drug metabolism
circulation
Potential Scenario
165
views
51
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
Potential Scenario
135
views
44
downloads
0
comments
2008-Huangi-Lu-Modeling long-term longitudinal HIV dynamics with applications to an AIDS clinical studyÂ
To better understand the factors responsible for the virological failure, this paper develops the mechanism-based nonlinear differential equation models for characterizing long-term viral dynamics with ARV therapy.
longitudinal data
AIDS
antiretroviral drug therapy
Bayesian nonlinear mixed-effects
time-varying drug efficacy
HIV dynamics
Potential Scenario
148
views
109
downloads
0
comments
2017-Biswasa-EtAl-Mathematical Modeling Applied to Sustainable Management of Marine Resources
We study a nonlinear mathematical model of fishery management to understand dynamics of a fishery resource system in an aquatic environment that consists of two zones; one free fishing zone and another reserve zone where fishing is strictly...
natural resources
marine resources
fishery model
Potential Scenario
168
views
63
downloads
0
comments
2016-Starling-EtAl-Local Brewery - A Project for Use in Differential Equations Courses
We describe a modeling project designed for an ordinary differential equations (ODEs) course using first-order and systems of first-order differential equations to model the fermentation process in beer.
BEER
Fermentation
brewery
Potential Scenario
194
views
55
downloads
0
comments
2003-Yildirim-Mackey-Feedback Regulation in the Lactose Operon
A mathematical model for the regulation of induction in the lac operon in Escherichia coli is presented.
mRNA
lactose
lactose operon
feedback regulation
Potential Scenario
208
views
57
downloads
0
comments
2014-Bozkurt-Peker-Mathematical modelling of HIV epidemic and stability analysis
A nonlinear mathematical model of differential equations with piecewise constant arguments is proposed. This model is analyzed by using the theory of both differential and difference equations to show the spread of HIV in a homogeneous population.
disease
logistic
HIV
piecewise constant
India
Potential Scenario
147
views
45
downloads
0
comments
1984-W_Brunner-D__Focht-Deterministic Three-Half-Order Kinetic Model for Microbial Degradation
The kinetics of mineralization of carbonaceous substrates has been explained by a deterministic model which is applicable to either growth or nongrowth conditions in soil.
kinetics
nonlinear regression
sum of square errors
Monodlinearize
mineralization
substrates
carbonaceous
Potential Scenario
127
views
66
downloads
0
comments
2015-Beier-EtAl-Building Context with Tumor Growth Modeling Projects in Differential Equations
Here we present two projects related to tumor growth appropriate for a first course in differential equations. They illustrate the use of problem-based learning to reinforce and extend course content via a writing or research experience.
tummor growth
research experience
Potential Scenario
122
views
47
downloads
0
comments
2012-Arvind_Kumar_Misra-A simple mathematical model for the spread of two political parties
In this paper, a non-linear mathematical model for the spread of two political parties has been proposed and analyzed by using epidemiological approach.
epidemic
compartment
political parties
Potential Scenario
226
views
101
downloads
0
comments
2005-JC_Sprott-Dynamical Models of Happiness
A sequence of models for the time evolution of one’s happiness in response to external events is described.
happiness
oscillation
Potential Scenario
155
views
46
downloads
0
comments
2018-Yu-Craciun-Mathematical_Analysis_of_Chemical_Reaction_Systems
These models of chemical reactions are systems of coupled nonlinear differential equations on the positive orthant.
biochemical
kinetics
reaction
reaction network
mass action
Potential Scenario
140
views
23
downloads
0
comments
2008-Duran-Caginalp-Parameter optimization for differential equations in asset price forecasting
The optimization procedure is used in conjunction with daily market prices (MPs) and net asset values to determine the parameters for which the AFDE yield the best fit for the previous n days.
finance
inverse problem
numerical nonlinear optimization
asset flow
financial market dynamics
market return prediction algorithm
Potential Scenario
160
views
77
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
146
views
55
downloads
0
comments
2013-Greer-EtAl-Collaborative Understanding of Cyanobacteria in Lake Ecosystems
We describe here a collaboration in which the mathematicians help collect data, the ecologists synthesize more data from model output than they can produce empirically, and the collaboration produces both mathematical approaches and field work.
collaboration
lake
ecosystem
cyanobacteria
field work
colony
Gloeo
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