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General Resource
1042
views
130
downloads
0
comments
Instructor Solutions Second Edition SIMIODE Textbook HTML Version
This is material we make available for instructors teaching a modeling-first approach to differential equations when using the Second Edition of SIMIODE Textbook, Differential Equations: A Toolbox for Modeling the Real World in HTML Version.
textbook
html
SIMIODE textbook
Second Edition
Modeling Scenario
670
views
220
downloads
0
comments
5-026-Evictions-ModelingScenario
In this project, students develop two SIS models to study eviction trends in a population of non-homeowner households using an actual eviction rate. Students can calculate solutions, sketch the phase portrait, and determine long-term trends .
carrying capacity
compartment
eviction
homeowner
SIS model
homelessness
Modeling Scenario
297
views
214
downloads
0
comments
1-027-StochasticProcesses-ModelingScenario
We build the infinite set of first order differential equations for modeling a stochastic process, the so-called birth and death equations. We will only need to use integrating factor solution strategy or DSolve in Mathematica for success.
Variance
Mean
stochastic
random
operations research
industrial engineering
Poisson process
traffic
Potential Scenario
428
views
85
downloads
0
comments
2020-Cline-EtAl-A Vision for Projects Across the Mathematics Curriculum
We describe a model that incorporates projects at all stages across the undergraduate mathematics curriculum. Finally, we provide samples of projects that we have used in selected courses.
projects
technical writing
interdisciplinary skills
Potential Scenario
592
views
74
downloads
0
comments
2023-TechShareNotes. Differential Equations Modeling
TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting questions and problems as well as excellent diagrams and explanations.
population dynamics
predator-prey
circuit
reaction
spring mass
pharmacokinetics
cooling
Potential Scenario
234
views
92
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
222
views
90
downloads
0
comments
2017-Rosario-Antony-Mathematical Model for Future Population Scenario In India And China – An Econometric Approach
A mathematical model including dynamical systems, statistical models and differential equations involves variety abstract structures. Population growth is one of the main issues in India and China which are located in Asia.
logistic
India
vital coefficients
Asia
Carrying Vapacitiy
annual growth rate
Potential Scenario
163
views
79
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
156
views
71
downloads
0
comments
2015-Joshi-EtAl-Optimal control of an SIR model with changing behavior through an education campaign
We study stability analysis and use optimal control theory on the system of differential equations to achieve the goal of minimizing the infected population (while minimizing the cost).
SIR models
vaccine
population
water treatment
susceptible
education campaign
minimizing cost
infected
Potential Scenario
127
views
61
downloads
0
comments
2015-Erzo-Luttmer-Four Models of Knowledge Diffusion and Growth
This paper describes how long-run growth emerges in four closely related models that combine individual discovery with some form of social learning.
knowledge diffusion
stationary distributions
productivity distribution
reaction-diffusion equations
quasi-stationary distributions
Potential Scenario
156
views
65
downloads
0
comments
2014-Patel-Schlijper-Models of Consumer Behavior
The problem posed to the Study Group was to construct models for consumer behaviour that might be useful in tools for brand management in markets for fast-moving consumer goods.
consumer behavior
market share
Potential Scenario
158
views
71
downloads
0
comments
2014-Michael_Monagan-The Mortgage Payment Problem Approximating a Discrete Process with a Differential Equation
In this article and a subsequent article I will give two non-standard examples that I've found helpful. The one presented here is a first order linear system. Second order systems and non-linear systems.
compartment
heating
house
Potential Scenario
187
views
60
downloads
0
comments
2013-Gonzalez_Parra-Arenas-Mathematical Model for Social Security Systems with Dynamical Systems
In this paper it is proposed a mathematical approach based on dynamic systems to study the effect of the increase in the Social Security normal retirement age on the worker and on the dynamics of retiree populations.
dynamical systems
retirement model
Social Security
Potential Scenario
165
views
50
downloads
0
comments
2012-Ogunrinde-Sunday-On some models based on second order differential equation
This paper presents some models based on second order differential equations. Such models include interaction between different kinds of species in an environment and pricing policy for optimum inventory level of a firm.
species interaction
pricing policy
optimal inventory
Potential Scenario
169
views
73
downloads
0
comments
2012-Murray_Bourne-Modeling fish stocks
Discusses many models of harvesting and consequences.
fish
logistic
management
susustainable development
harvest
fish stock
overpopulated
unsustainable
Potential Scenario
147
views
44
downloads
0
comments
2010-Singh-Mishra-athematical modeling approach to study growth rate of grassroots technological innovations
In this paper we have proposed a simple mathematical model by using ordinary differential equation to know the spread rate of technological innovations in rural India.
logistic
exponential
sigmoid
technological innovations
asymptotic
spread of innovation
Potential Scenario
152
views
33
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
243
views
36
downloads
0
comments
2009-Das-EtAl-Bioeconomic harvesting of a pre-predator fishery
This paper deals with the problem of non-selective harvesting of a prey–predator system by using a reasonable catch-rate function instead of usual catch-per-unit-effort hypothesis.
predator-prey
harvesting
Pontryagin’s maximum principle
bioeconomic
bionomic equilibrium
biotechnical productivity
catch-rate function
optimal equilibrium
Potential Scenario
108
views
46
downloads
0
comments
2008-Taro-Blog on Modern Political Economy-Differential Equations in Our Life
Differential equations - easy to hear but often impossible to solve- are around there in our life. If you are an econ learner, you have much time to express the economy by using differential equations.
bathtub
hot coffee
running tater
exonomics
forgetting
Potential Scenario
141
views
53
downloads
0
comments
2008-Ratneesh_Suri-Optimal harvesting strategies for fisheries-differential equations approach
We develop and investigate the harvesting model in both deterministic and stochastic settings. We first employ the Expected Net Present Value approach and determine optimal harvesting policy using various optimization techniques including optimal...
optimal control
sustainable yield
maximum sustainable yield
harvest
Expected Net Present Value
calculus of variations
dynamic programming
maximum economic yield
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