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Views
Date
Relevance
Potential Scenario
184
views
37
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
129
views
38
downloads
0
comments
1999-Meyer-Ausubel-Carrying Capacity-A Model with Logistically Varying Limits
This paper extends the logistic equation to simple growth model with a logistically increasing carrying capacity. This is applied to human population situations in several countries with fits to data.
population dynamics
parameter estimation
limited growth
growth
logisitic
Potential Scenario
171
views
49
downloads
0
comments
2012-Augustus-Wali-Mathematical Modeling of Uganda Population Growth
The purpose of this paper focuses on the application of logistic equation to model the population growth of Uganda using data from 1980 to 2010 (inclusive).
population growth
logistic growth
Drug and Alcohol detoxification
carrying capacity
vital coefficients
Potential Scenario
190
views
78
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
Modeling Scenario
321
views
223
downloads
0
comments
6-040-StruggleForExistence-ModelingScenario
We use historical data from the 1930's in the Soviet Union and model competition between two species of yeast after modeling each species separately and estimate parameters
competition
logistic
carrying capacity
paramecium
Potential Scenario
112
views
46
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
130
views
43
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
129
views
54
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
129
views
60
downloads
0
comments
2015-Sebesyen-Farago-Invasive Species Model with Linear Rat Harvesting on Easter Island
In this paper we suggest a natural modification of this model. Namely, we will investigate the case where the amount of the rats is decreased due to some external factor, e.g., exterminations by the people.
carrying capacity
harvest
Easter Island
invasie especies
rats
Roughgarden theorem.
Potential Scenario
109
views
34
downloads
0
comments
1986-Cook-Witten-One-dimensional linear and logistic harvesting models
Some of the results in the literature on simple one-dimensional, density dependent, discrete and continuous models-with and without harvesting-are reviewed.
logistic
continuous
population
linear
discrete
harvestinbg
Modeling Scenario
491
views
199
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
139
views
35
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
Modeling Scenario
268
views
98
downloads
0
comments
1-104-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.
infection
logistic
exponential
covid
carrying capacity
Free Online Textbook
119
views
45
downloads
0
comments
2013-Marcel_Finan-A_Second_Course_in_Differential_Equations
Location: http://faculty.atu.edu/mfinan/nnotes.html . Accessed 9 March 2023. Here you will find a whole collection of differential equations texts:
differential equations
textbook
Modeling Scenario
328
views
387
downloads
0
comments
1-011A-Kinetics-ModelingScenario
We help students see the connection between college level chemistry course work and their differential equations coursework. We do this through modeling kinetics, or rates of chemical reaction.
kinetics
Law of Mass Action
fitting
order of reaction
chemical reaction
Modeling Scenario
272
views
447
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
201
views
46
downloads
0
comments
2011-Cruz-Aponte-Herrera-Valdez-Mitigating effects of vaccination on influenza outbreaks given constraints in stockpile size and daily administrati
We present a SIR-like model that explicitly takes into account vaccine supply and the number of vaccines administered per day and places data-informed limits on these parameters.
vaccination
infection
SIR
epidemic
Modeling Scenario
607
views
158
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
Potential Scenario
114
views
41
downloads
0
comments
1989-EY_Rodin-S_Jaques-Countercurrent Oxygen Exchange in the Swim Bladders of Deep-Sea Fish
Oxygen diffuses from lungs into blood, nutrients diffuse from intestinal tracts into blood and from blood into various cells, and waste products diffuse from cells back into blood.
fish
Cell Membrane
flow
blood
bladder
countercurrent
Technique Narrative
202
views
213
downloads
0
comments
1-015-DimensionlessVariables-TechniqueNarrative
This material introduces the idea of ``rescaling'' for ordinary differential equations (ODE's) by the use of dimensionless variables. In practice this is an extremely common and useful prelude to the analysis and solution of ODE's.
linearization
dimensional analysis
time scale
scaling
dimensionless variables
spatial scale
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