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Downloads
Views
Date
Relevance
Modeling Scenario
193
views
599
downloads
0
comments
1-124-WorldPopulation-ModelingScenario
We build models of world population using data to estimate growth rate.
population dynamics
human
growth rate
varying growth rate
Potential Scenario
188
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
177
views
50
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
130
views
35
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
132
views
44
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
94
views
30
downloads
0
comments
2004-Hill-Lozowski-Sampson-Experiments on ice spikes and a simple growth model
We observed ice-spike growth using time-lapse digital photography, using two water types in two different containers.
ice
ice spike
bulk heat transfer
mass conservation
Potential Scenario
195
views
82
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
254
views
432
downloads
0
comments
1-170-CensusModeling-ModelingScenario
Students who have studied models for population are likely to be familiar with the exponential and the logistic population models. The goal here is to explore the role of modeling assumptions in choosing which model to use.
logistic growth
exponential
population
U.S. Census Data
assumption
Google Sheets
Unites States
Guatemala
Modeling Scenario
274
views
464
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
237
views
39
downloads
0
comments
2006-Juska-Gedminiene-Ivanec-Growth of Microbial Populations-Mathematical Modeling-Laboratory Exercises-Model-Based Data Analysis
The aim is to teach the students to use a fresh approach to the problems they are familiar with, to come up with an articulate verbal model after a mental effort, to express it in rigorous mathematical terms, to solve (with the aid of computers).
population growth rate
logistic equation
Verhulst equation
generation time
lag time
Potential Scenario
137
views
50
downloads
0
comments
2018-Winkle-Igoshin-Bennett-Josic-Ott-Modeling_Mechanical_Interactions_in_Growing_Populations_of_Rod-Shaped_Bacteria
Here, we present an agent-based model that allows growing cells to detect and respond to mechanical interactions.
bacteria
agent-based
populationb
rod-shaped
cellular growth
Potential Scenario
225
views
35
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
Modeling Scenario
186
views
245
downloads
0
comments
1-140-LeakyBucket-ModelingScenario
We seek to model the height of water in a cylindrical tank (bucket) in which water flows out the bottom of the tank through a small bore hole while we are pouring water into the tank at the top of the tank at a constant (or varying) rate.
flow
Torricelli's Law
leaky bucket
Modeling Scenario
327
views
1157
downloads
0
comments
6-025-WhalesAndKrill-ModelingScenario
Students will use Excel to observe qualitative behavior in a simulation of a predator-prey model, with blue whales and krill as the predator and prey populations, respectively.
krill
whale
predatpr-prey
Potential Scenario
122
views
36
downloads
0
comments
2011-Teleken-EtAl-Mathematical modeling of microbial growth in milk
A mathematical model to predict microbial growth in milk was developed and analyzed. The model consists of a system of two differential equations of first order. The equations are based on physical hypotheses of population growth.
bacteria
dairy
milk
food safety
microbilogy
Modeling Scenario
219
views
119
downloads
0
comments
6-010-SocialCampaign-ModelingScenario
The epidemic modeling problem is formulated as a system of three nonlinear, first order differential equations in which three compartments (S, I, and R) of the population are linked.
disease
growth rate
Judgment and Decision Making
SIR model
infections disease
social campaign
recovery rate
delay time
joining process
quitting process
exponential distribution
Potential Scenario
114
views
33
downloads
0
comments
2012-José_Sérgio_Domingues-Gompertz Model - Resolution and Analysis for Tumors
The main objective of this paper is to use the Gompertz equation in order to study the development of blood irrigated solid tumors, using parameters defined in some important bibliographic references about the mathematical modelling of tumors.
tumor
Gompertz equation
growth tumor
Potential Scenario
118
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
Modeling Scenario
332
views
487
downloads
0
comments
6-022-CannibalismPredatorPrey-ModelingScenario
The Lotka-Volterra model tells us that the prey and predator exhibit a shifted cyclic behavior over time. In this module, we look at modifying this prey-predator model to consider the case when there is cannibalism in the predator species.
stability
predator-prey
equilibria
oscillations
cannibalism
phase planes
spiral sinks
Modeling Scenario
614
views
470
downloads
0
comments
1-032-WordPropagation-ModelingScenario
This activity is a gentle introduction to modeling via differential equations. The students will learn about exponential growth by modeling the rate at which the word jumbo has propagated through English language texts over time.
Google
exponential growth
language
word problems
etymology
Ngram
propagation
Jumbo
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