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Downloads
Views
Date
Relevance
Potential Scenario
126
views
68
downloads
0
comments
1992-John_Mathews-Bounded population growth-a curve fitting lesson
The purpose of this article is to present two methods for fitting the logistic curve to data supplied by the U. S. census bureau.
data
logistic
linearization
fitting
Article or Presentation
139
views
40
downloads
0
comments
2015-Brian_Winkel-Informed_Conjecturing_of_Solutions_for_Differential_Equations_In_a_Modeling_Contex
We examine (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a modeling context for informed conjectures of their...
exponential growth
solutions
linear systems
decay
conjecture
Potential Scenario
168
views
38
downloads
0
comments
2022-Kalman-Improved Approaches Discrete Continuous Logistic Equation
In the precalculus curriculum, logistic growth generally appears in either a discrete or continuous setting. These actually feature distinct versions of logistic growth, and textbooks rarely provide exposure to both.
logistic
continuous
Spreadsheet
Precalculus
discrete
Modeling Scenario
263
views
118
downloads
0
comments
1-118-SolowEconomicGrowth-ModelingScenario
Students construct and analyze the celebrated Solow-Swan model of economic growth theory. The project is divided into three sequential parts to teach students to understand, develop, and analyze a simple nonlinear model of economic dynamics.
optimization
economics
steady state
growth
Solow-Swan model
capital
production
labor
Golden Rule of Economic Growth
Potential Scenario
128
views
35
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
123
views
75
downloads
0
comments
2018-Banerjee-EtAl-Prey-Predator Model with a Nonlocal Bistable Dynamics of Prey
The primary goal of our present work is to consider nonlocal consumption of resources in a spatiotemporal prey-predator model with bistable reaction kinetics for prey growth in the absence of predators.
predator-prey
nonlocal consumption
Turing bifurcation
spatial Hopf bifurcation
spatio-temporal pattern
prey growth
Potential Scenario
738
views
64
downloads
0
comments
2013-Fathalla_Rihan-Delay Differential Equations in Biosciences - Parameter estimation and sensitivity analysis
This is a review article to show that delay differential models have a richer mathematical framework (compared with models without memory or after-effects) and a better consistency with biological phenomena such dynamical diseases and cell growth...
epidemiology
sensitivity
Immunology
physiology
RK-methods
time-lags
Potential Scenario
202
views
58
downloads
0
comments
2006-Graves-Peckham-Pastor-2D differential equations model for mutualism
We develop from basic principles a two-species differential equations model which exhibits mutualistic population interactions.
population dynamics
Lotka-Volterra
growth rate
mutualism
Lichen
Potential Scenario
189
views
64
downloads
0
comments
2019-Ekici_Plyley. Inquiry-Based_Modeling_of_Population_Dynamics_With_Logistic_Differential_and_Difference_Equations
Inquiry-based learning activities on modeling and controlling the growth of locally relevant species, such as lionfish or sea turtles, are developed by the authors.
population dynamics
logistic
Inquiry-based modeling
IBL
Modeling Scenario
277
views
507
downloads
0
comments
10-100-InsectOutbreaks-ModelingScenario
We use a system of difference equations that incorporates a temperature-dependent MPB population growth rate to model the outbreak and recovery cycle in mountain pine beetle-infested forests.
ecology
climate change
insect
insect outbreaks
insect outbreak
solitary wave
Potential Scenario
126
views
47
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
148
views
55
downloads
0
comments
2019-Fan_ Li_ Yin- Impact_of_environmental_tax_on_green_development-nonlinear_dynamical_system_analysis
This study analyzes the impact of environmental tax on green development by using a four-dimension dynamical system.
environment
system
equilibrium point
model chaos
economic growth
nonlinear
Modeling Scenario
231
views
185
downloads
0
comments
1-078-MonodGrowthModel-ModelingScenario
Students model growth of bacteria E. coli in a limiting nutrient environment using data from a historical study.
bacteria
nutrient cycles
growth
Monod
consumption
Modeling Scenario
515
views
240
downloads
0
comments
1-104A-T-InfectionRisk-ModelingScenario
This project is designed to examine differences between the exponential and logistic growth models in biology and how to apply these models in solving epidemic questions and comparing to actual disease data sets.
regression
infection
COVID19
carrying capacity
logistic equation
exponential model
Potential Scenario
197
views
79
downloads
0
comments
2018-W_Hohenauer-Physical modelling based on first order ODEs
An introduction in techniques to solve first order ODE´s is given. Barometric formula, charging and discharging of a capacitor including its application for AMV, magnetic induction and growth effects are discussed.
discharge
capacitor
magnetic field
induction
magnetic induction
Potential Scenario
119
views
34
downloads
0
comments
2014-Danielsen-Sørensen-Using authentic sources in teaching logistic growth
This 12 page offering develops issues and questions about using historical materials to motivate mathematics study and develops 9 very rich exercises
real data
logistic
historical materials
Potential Scenario
88
views
31
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
111
views
49
downloads
0
comments
2001-Knisley-Kerley-Using data to motivate the models used in introductory differential equations
In this paper, the data itself is used to motivate mathematical models in introductory mathematics courses. In doing so, various regression and optimization techniques are illustrated.
regression
logistic
Torricelli's Law
growth
periodic process
Potential Scenario
269
views
51
downloads
0
comments
1999-Lomen-Lovelock-Data Sets from text Differential Equations Graphics-Models-Data
Data selected by field is presented, e.g., chemistry, electricity, growth, motion, population, miscellaneous.
data
Estimate
Potential Scenario
153
views
48
downloads
0
comments
1997-Bonnie_Shulman-Using Original Sources to Teach the Logistic Equation
This Module uses original data, diagrams, and texts from three original sources to develop the logistic model of growth in natural systems with limited resources.
logistic
original source
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