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Downloads
Views
Date
Relevance
Potential Scenario
194
views
64
downloads
0
comments
2011-Brian_Winkel-Parameter Estimates in Differential Equation Models for Population Growth
We estimate the parameters present in several differential equation models of population growth, specifically logistic growth models and multiple species competition models.
logistic
population
paramecia
Gause
gradient search
Potential Scenario
150
views
47
downloads
0
comments
2011-Kurt_Kreith-The Mathematics of Global Change
The authors discuss broad issues and then focus on specifics like exponential growth, logistic growth, and the logistic equation with delay.
exponential growth
logistic growth
Article or Presentation
129
views
51
downloads
0
comments
2001-A_Tsoularis-Analysis_of_logistic_growth_models
The paper presents an historical development of the logistic equation in its various forms, including Verhulst, Pearl and Reed, Gompertz, Bertalanffy, Richards, and others.
logistic
population
growth curve
limited growth
Gompertz
history
logistic equation
Verhulst
Pearl and Reed
Bertalanffy
Richards
Potential Scenario
124
views
54
downloads
0
comments
2001-Tsoularis-Analysis of logistic growth models
variety of growth curves have been developed to model both unpredated, intraspecific population dynamics and more general biological growth. We further review and compare several such models.
logistic
Gompertz
Verhulst
Pearl and Reed
Bertalanffy
Potential Scenario
178
views
52
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
Potential Scenario
180
views
41
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
Potential Scenario
200
views
55
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
167
views
41
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
147
views
74
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
Potential Scenario
174
views
42
downloads
0
comments
2013-Alicia_Caldwell-Students Rise to the Challenge of Modeling Yeast Growth Despite Sour Hiccups from Imperfect Data
This paper describes a lab in which students in an Applied Mathematics in Biology course observe the growth of Saccharomyces cerevisiae, a yeast strain, in differing sugar concentrations for use in learning modeling.
Saccharomyces cerevisiae
logistic
yeast
death
growth
sugar
alcohol
Potential Scenario
131
views
35
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
220
views
88
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
Article or Presentation
177
views
43
downloads
0
comments
2011-Brian_Winkel-Parameter_Estimates_in_Differential_Equation_Models_for_Population_Growth
We estimate the parameters present in several differential equation models of population growth, specifically single species exponential and logistic growth, and multiple species competition and predation models.
population model
parameter estimation
population
parameter
Potential Scenario
185
views
55
downloads
0
comments
2000-Armson-Cockroft-Stone-Modelling a barnacle goose population
This paper explores a number of models for the growth of a barnacle goose population. These geese spend their summers breeding in Spitsbergen and then winter in Caerlaverock on the Solway Firth. The population growth is modelled using exponential...
population dynamics
exponential
logistic equation
Barnacle Geese
Potential Scenario
204
views
67
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
Potential Scenario
145
views
55
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
Article or Presentation
178
views
66
downloads
0
comments
2011-Brian_Winkel-Parameter_Estimates_in_Differential_Equation_Models_for_Chemical_Kinetics
We estimate the parameters present in several differential equation models of chemical kinetics and logistic growth.
kinetics
parameter estimation
logistic
chemical kinetics
chemical reaction
Potential Scenario
184
views
41
downloads
0
comments
2000-Dwayne-Anderson-Estimates of the future membership of the Church of Jesus Christ of Latter-Day Saints
Thus, the purpose of this paper is to model the membership of the Church of the Latter Day Saints from the available data on membership from 1844 to 2000.
population dynamics
logistic
Latter-Day Saints
Potential Scenario
151
views
87
downloads
0
comments
2001-Cheng-Teaching mathematical modelling in Singapore schools
The purpose of this paper is to examine the possibility of introducing the teaching of mathematical modelling to the secondary school curriculum in Singapore.
teaching
logistic
secondary school mathematics
Barnacle Geese
Singapore
Potential Scenario
119
views
52
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
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