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Downloads
Views
Date
Relevance
Potential Scenario
165
views
69
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
154
views
59
downloads
0
comments
2006-G_Ashline-J_Ellis-Monaghan-How high-fast-long-Modeling water rocket flight with calculus
We describe an easy and fun project using water rockets to demonstrate applications of single variable calculus concepts.
calculus
Flight
projectile
water rocket
Potential Scenario
182
views
49
downloads
0
comments
2012-Transtrum-Qiu-Optimal experiment selection for parameter estimation in biological differential equation models
We explore the question to what extent parameters can be efficiently estimated by appropriate experimental selection.
experimental design
systems biology
Association & Data Fitting
reaction rates
decay rates
Potential Scenario
157
views
78
downloads
0
comments
2016-Pennell-Avitabile-White-Engineering Applications Differential Equations
General discussion of an engineering based differential equations course with examples from RC Circuit, mass spring dashpot.
circuit
voltage
capacitor
nondimensionalization
Potential Scenario
171
views
54
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
Article or Presentation
185
views
54
downloads
0
comments
2008-Brian_Winkel-Fourier_Series-Optimization_Opportunity
We discuss the introduction of Fourier series as an immediate application of optimization of a function of more than one variable.
optimization
discovery
Fourier
Fourier seris
Potential Scenario
147
views
44
downloads
0
comments
2006-Ousmane_Mousa_Tessa-Mathematical model for control of measles by vaccination
In this article, we use a compartmental mathematical model of the dynamics of measles spread within a population with variable size to provide this framework.
vaccination
compartment
herd immunity
measles
optimal strategy
Potential Scenario
135
views
55
downloads
0
comments
1981-Nielsen-Rosenfeld-Substantive Interpretations of Differential Equation Models
The use of differential equations models to study social processes has been increasing rapidly. There are, however, ambiguities in the interpretation of the parameters of these models.
sociology
politics
intragenerational mobility
political mobility
Article or Presentation
158
views
66
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
Potential Scenario
140
views
55
downloads
0
comments
2016-Lewnard-Townsend-Climatic and evolutionary drivers of phase shifts in the plague epidemics of colonial India
Our analysis shows that historical datasets can yield powerful insights into the transmission dynamics of reemerging disease agents with which we have limited contemporary experience to guide quantitative modeling and inference.
infectious disease
p
Vector-Borne Disease
lague
plague
Potential Scenario
146
views
71
downloads
0
comments
2016-Roberto_Camporesi-A fresh look at linear ordinary differential equations with constant coefficients
We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations of any order based on the factorization of the differential operator.
impulse
Green functions
instructional exposition
Potential Scenario
213
views
43
downloads
0
comments
2012-Michael_Kerckhove-From Population Dynamics to Partial Differential Equations
This article illustrates PDE models for location-dependent carrying capacities, migrations, and the dispersion of a population.
population dynamics
logistic equation
location-dependent carrying capacities
Potential Scenario
132
views
40
downloads
0
comments
2005-P_Howard-Modeling with ODE
In these notes we consider three critical aspects in the theory of ordinary differential equations: developing models of physical phenomena, mathematically well-posed, solving ODE numerically .
Fluid Mechanics
compartment
populations
variational methods
Hamiltonian mechanics
Article or Presentation
170
views
63
downloads
0
comments
1988-Michael_Intriligator-Dagobert_Brito-A_Predator-Prey_Model_of_Guerrilla_Warfare
The purpose of this paper is to analyze guerrilla warfare by means of a dynamic model. The model suggests specific paths for the evolution of such ward and how such wars might be fought or combatted.
simulation
guerilla warfare
warfare
combat
Potential Scenario
202
views
75
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
Potential Scenario
136
views
65
downloads
0
comments
2013-Deboeck-Bergeman-The reservoir model-DE model of psychological regulation
The following article describes a differential equation model based on the concept of a reservoir for psychological regulation.
adaptive coping
Reservoirs
Notre Dame Longitudinal Study on Aging
output
input distribution
stressors
coping resources
Potential Scenario
141
views
48
downloads
0
comments
2012-Nokkaew-EtAl-Estimation of Algae Growth Model Parameters by a Double Layer Genetic Algorithm
This paper presents a double layer genetic algorithm (DLGA) to improve performance of the information-constrained parameter estimations.
optimization
algae growth
genetic algorithms
simulated data
convergence of parameters
Potential Scenario
123
views
68
downloads
0
comments
2001-Noymer-The transmission and Persistence of Urban Legends-Sociological Application of Age-Structures Epidemic Models
This paper describes two related epidemic models of rumor transmission in an age-structured population. Rumors share with communicable disease certain basic aspects, which means that formal models of epidemics may be applied to the transmission of...
age structure
rumors
persistence
Urban Legends
Potential Scenario
143
views
24
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
Modeling Scenario
300
views
320
downloads
0
comments
1-019-RocksInTheHead-Modeling Scenario
We describe an experiment with data on the perception of the individual mass of a collection of rocks in comparison to a 100 g brass mass. Students use the logistic differential equation as a reasonable model and estimate parameters.
logistic growth
parameter estimation
experiment
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