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Downloads
Views
Date
Relevance
Potential Scenario
105
views
42
downloads
0
comments
2006-Loyd-Wodarz-Drug Resistance in Acute Viral Infections-Rhinovirus as a Case Study
We develop an epidemiological model that can be used to address the spread of resistance at the population level, and a virus dynamics model that can be used to study the dynamics of virus over the time course of an individual’s infection.
stability
resistance
virus
drug
epidemic competition
immune response
rhinovirus
Modeling Scenario
202
views
155
downloads
0
comments
6-018-ExploringSIRModel-ModelingScenario
Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to understand, to apply, and to develop SIR models.
population dynamics
sensitivity
disease
SIR models
epidemic
rumors
Potential Scenario
194
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
111
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
Potential Scenario
87
views
52
downloads
0
comments
2001-Noymer-The transmission and Persistence of Urban Legends-Sociological Application of Age-Structures Epidemic Models
This paper describes two related epidemic models of rumor transmission in an age-structured population. Rumors share with communicable disease certain basic aspects, which means that formal models of epidemics may be applied to the transmission of...
age structure
rumors
persistence
Urban Legends
Potential Scenario
99
views
43
downloads
0
comments
1994-Paul_Davis-Asking Good Questions about Differential Equations
A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish population.
questions
population
numerical
physical context
graphical
algebraic
Ireland
Potential Scenario
136
views
41
downloads
0
comments
1975-DH_Griffel-Teaching the formation and solution of differential equations
This paper raises many interesting questions about teaching the formation (and solution) of differential equations, i.e. modeling with differential equations.
parasites
Topography
population
epidemic
traffic flow
social interactions
fish weight
arms race
Potential Scenario
82
views
24
downloads
0
comments
2008-Jai-Li-Differential equations models for interacting wild and transgenic mosquito populations
We formulate and study continuous-time models, based on systems of ordinary differential equations, for interacting wild and transgenic mosquito populations.
Mosquito borne diseases
populations
Holling-II-type mating rates
transgenic mosquitoes
nonhyperbolic equilibrium
mosquitoes
Potential Scenario
104
views
36
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
Modeling Scenario
202
views
223
downloads
0
comments
1-081-TumorGrowth-ModelingScenario
Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor growth.
logistic
population
tumor
Gompertz
Modeling Scenario
245
views
169
downloads
0
comments
1-127-FishHarvesting-ModelingScenario
We offer students a harvesting model for operating a fishery over a 25 year horizon and ask them to write a report on optimal harvesting policy with their analyses for fishing industry experts (not necessarily mathematicians).
Management Of Data
optimal control
fisheries
logistic
harvesting
maximum sustainable yield
Potential Scenario
112
views
70
downloads
0
comments
2015-Doust-Saraj-The logistic modeling population having harvesting factor
The present paper deals with the logistic equation having harvesting factor, which is studied in two cases constant and non-constant.
logistic
harvest
harvesting factor
Potential Scenario
141
views
54
downloads
0
comments
2009-Peter-Howard-Modeling With ODE
This is a set of class notes rich in examples and ideas for modeling. There is some MatLab code in support of some of the activities.
rates
competition
population
epidemic
pendulum
carbon dating
reaction chemistry
mechanics
planetary motion
drag racing
Hamilton’s method
variational method
Modeling Scenario
323
views
224
downloads
0
comments
1-024-MalariaControl-ModelingScenario
This project offers students a chance to make policy recommendations based on the analysis of models using both linear (exponential decay) and non-linear (logistic growth) differential equations.
population dynamics
malaria
Policy
Decision-making
Euler's method
pharmacokinetics
mosquito
improved Euler's method
Huen's method
US Army
Modeling Scenario
210
views
388
downloads
0
comments
1-091-InvestigatingSlopeFields-ModelingScenario
Students will gain experience writing differential equations to model various population scenarios, they will create slope fields to view the solution curves using software, and they will discuss the behavior of the solution curves.
slope fields
population
Potential Scenario
134
views
39
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
304
views
1153
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
Modeling Scenario
268
views
366
downloads
0
comments
6-016-PandemicModeling-ModelingScenario
The recent coronavirus outbreak has infected millions of people worldwide and spread to over 200 countries. How can we use differential equations to study the spread of coronavirus?
population dynamics
infectious disease
disease
Ebola
e
SIR models
COVID19
pandemic
epidemic
reproduction number
Modeling Scenario
167
views
106
downloads
0
comments
1-109-EmployeeAttrition-ModelingScenario
This scenario models the loss of employees and the employer's attempt to retain them through stock options. It most naturally is solved with a first-order linear decay model with two populations.
population
linear growth
decay
employee
attrition
Potential Scenario
133
views
68
downloads
0
comments
2015-Boggess-EtAl-Mathematical Modeling in Ecology - Simulating the Reintroduction of the Extinct Passenger Pigeon
To determine under which conditions a Passenger Pigeon could survive a reintroduction into a natural habitat, we used two types of models.
simulation
agent-based modeling
allee_effect
Passenger Pigeons
forest envirnoment
Holling Type III functional response
Bio-energetics
tree distributions
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