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Downloads
Views
Date
Relevance
Potential Scenario
143
views
44
downloads
0
comments
2008-Chernyshov-EtAl-The Problem of Modelling of Economic Dynamics in Differential Form
The authors have tried to analyze procedures of the construction of differential equations that are employed for modeling of macroeconomic processes. The results prove to be rather unexpected.
Fredholm integral equation of
Leontief’s model
macroeconomic processes
Potential Scenario
214
views
96
downloads
0
comments
2001-Smith-Moore-The SIR Model for Spread of Disease
A multiple part tour of SIR Models freely available with Maple, Mathematics, and MatLab support files at MAA site.
epidemic
SIR model
Euler's method
herd immunity
Hong Kong flu
Potential Scenario
173
views
43
downloads
0
comments
2007-Hui_Luo-Population Modeling by Differential Equations
A general model for the population of Tibetan antelope is constructed. The present model shows that the given data is reasonably logistic.
population dynamics
extinction
logistic
Tibetan antelope
Potential Scenario
240
views
93
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
Potential Scenario
148
views
56
downloads
0
comments
1975-Rodda-Sampson-Smith-The One-Compartment Open Model Parameter Estimation
A new estimation procedure is proposed for estimating the parameters of the simplest pharmacokinetic model, the one-compartment open model.
compartment model
pharmacokinetics
nonlinear estimation
one compartment model
Potential Scenario
360
views
62
downloads
0
comments
2018-Hu-Huang-Dynamic Regulation Responding to an External Stimulus
This study examines the dynamic regulation process responding to an external stimulus. This study introduces the driven damped oscillator model which has an additional parameter to identify different patterns of the steady state.
dynamical systems
regulation
steady state
sales model
external stimulus
Potential Scenario
155
views
34
downloads
0
comments
2010-Kijek-Kijek-Modelling of Innovation Diffusion
This paper offers a first order differential equation model for innovation diffusion, solves it, and offers qualitative analysis as well as approaches to estimating parameters with some data on final parameters for various countries.
Bass model
innovation diffusion
Logistic model
dynamic model
Potential Scenario
226
views
75
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
127
views
60
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
199
views
57
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
110
views
42
downloads
0
comments
2001-Edwards-Buckmire-A differential equation model of North American cinematic box-office dynamics
A new mathematical model is presented for the box-office dynamics of a motion picture released in North America.
cinema
movies
box-office
Potential Scenario
133
views
51
downloads
0
comments
2011-GA_Koch-Noble-Drugs in the Classroom Using Pharmacokinetics to Introduce Biomathematical Modeling
By beginning with simple model involving the half-life of a drug, students take advantage of their mathematical abilities to explore the biology.
Biomathematics
pharmacokinetics
Potential Scenario
208
views
89
downloads
0
comments
1971-Carl_Metzler-Usefulness Of Two Compartment Open Model In Pharmacokinetics
Compartment models are widely used in pharmaceutical research to quantitate the kinetics of absorption, distribution, metabolism and excretion of a drug. In this article two applications of the two compartment open model are discussed.
LSD
compartment
pharmacokinetics
Potential Scenario
369
views
97
downloads
0
comments
2017-Varanis-Mereles-Mathematical Model of a Vehicle Crash A Case Study
The model proposed in this paper allows one to obtain the parameters of the system, and then compare them with the ones obtained experimentally to test the suitability of the model with the vehicle crash.
case study
Runge-Kutta
spring mass damper
vehicle crash
Potential Scenario
294
views
78
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
178
views
66
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
168
views
81
downloads
0
comments
2016-Helena_Sofia_Rodrigues-Application of SIR epidemiological model new trends
In this paper, the basic transmission model is analyzed, as well as simple tools that allows us to extract a great deal of information about possible solutions. A set of applications - traditional and new - is described to show importance of this...
epidemiology
basic reproduction number
SIR
Potential Scenario
172
views
44
downloads
0
comments
2015-Sivakumar-EtAl-Approximate Analytical Expression of Concentrations in a Kinetic Model for Biogas Generation from Banana Waste
The initial value problem in a kinetic model for biogas generation from banana waste is discussed. The model involves the system of non-linear differential equations which has variety of non-linear rate function.
chemical kinetics
Michaelis-Menten kinetics
anaerobic digestion
acidogenic steps
banana
methanogenic steps
wastes
Potential Scenario
167
views
90
downloads
0
comments
2018-Akman-EtAl-Parameter Estimation in Ordinary Differential Equations Modeling via Particle Swarm Optimization
We demonstrate Particle Swarm Optimization efficacy by showing that it outstrips evolutionary computing methods previously used to analyze an epidemic model.
epidemic
Particle Swarm Optimization
optimize parameters
Potential Scenario
146
views
51
downloads
0
comments
1991-JR_Lobry-P_Flandois-Comparison of Monod's Growth Model Parameters from the Same Data Set
The paper obtains the parameters in Monod's Growth model using a minimization of the sum of square errors with a given data set and obtains confidence intervals
Confidence intervals
sum of square errors
linearization
growth
Modo Growth model
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