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Downloads
Views
Date
Relevance
Potential Scenario
118
views
61
downloads
0
comments
2003-Fay-Graham-Coupled spring equations
Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described.
spring mass
oscillation
Hooke's Law
coupled springs
periodic
forcing function
phase portrait
Potential Scenario
136
views
79
downloads
0
comments
2003-Fay-Graham-Coupled spring equations
Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described.
mass
oscillation
spring\
coupled springs
periodic
fporcing
Potential Scenario
177
views
44
downloads
0
comments
1969-Israelsson-Johnsson-Phase-shift in Geotropic Oscillations a Theoretical and Experimental Study
The paper studies geotropical induced phase-shifts in circumnutations (turning) of Helianthus annus hypocotlys.
plant
oscillation
delay
circumnutation
turning
Potential Scenario
160
views
55
downloads
0
comments
2019-Hu-Treinen-One-step_method_for_modelling_longitudinal_data_with_differential_equations
This study proposes a new approach to estimate the parameters in differential equation models used to describe non-linear trajectories of longitudinal data.
simulation
parameter estimation
shopping
fitting
behaviour
Modeling Scenario
357
views
265
downloads
0
comments
1-142-WaterBottles-ModelingScenario
This project involves the application of Newton's law of cooling to the study of insulated water bottles. Students have the option to conduct experiments with their own bottles outside of class or use data included in the student version.
data collection
experiment
half-life
Newton's Law of Cooling
water bottle
Potential Scenario
135
views
52
downloads
0
comments
2016-Lewnard-Townsend-Climatic and evolutionary drivers of phase shifts in the plague epidemics of colonial India
Our analysis shows that historical datasets can yield powerful insights into the transmission dynamics of reemerging disease agents with which we have limited contemporary experience to guide quantitative modeling and inference.
infectious disease
p
Vector-Borne Disease
lague
plague
Potential Scenario
127
views
48
downloads
0
comments
2012-Yuan_Yuan-A coupled plankton system with instantaneous and delayed predation
We present two simple plankton population models: one has instantaneous predation, another has delayed predation.
phytoplankton
bifurcation
orbits
herbivorous zooplankton
effect of fish
maturation time delay
General Resource
913
views
127
downloads
0
comments
Instructor Solutions Second Edition SIMIODE Textbook HTML Version
This is material we make available for instructors teaching a modeling-first approach to differential equations when using the Second Edition of SIMIODE Textbook, Differential Equations: A Toolbox for Modeling the Real World in HTML Version.
textbook
html
SIMIODE textbook
Second Edition
Potential Scenario
177
views
49
downloads
0
comments
2012-Jambhekar-Breen-Extravascular Routes Of Drug Administration in Basic Pharamacokinetics
This provides an excellent step-by-step of the physiology, construction of model, and notions like peak concentration as well as issues like lag time.
concentration
physiology
drugs
lag time
Extravascular
Pharamacokinetics
peak time
Potential Scenario
174
views
76
downloads
0
comments
2011-Nakul-Chitnis-Introduction to Mathematical Epidemiology - Deterministic Compartmental Model
Deterministic compartmental models form the simplest models in the mathematical study of infectious disease dynamics. They assume that a population is homogenous (all people are the same) and the only distinction is in their disease state.
sensitivity
disease
infection
threshold
compartment
bifrucation
Potential Scenario
233
views
95
downloads
0
comments
2017-Chávez-EtAl-Modeling and Analysis of Integrated Pest Control Strategies via Impulsive Differential Equations
The paper is concerned with the development and numerical analysis of mathematical models used to describe complex biological systems in the framework of Integrated Pest Management (IPM).
bifurcations
chaos
impulsive model
limit cycles
hysteretic effects
period-doubling cascades
Potential Scenario
207
views
60
downloads
0
comments
2011-Lucas_Pulley-Analyzing Predator-Prey Models Using Systems of Ordinary Linear Differential Equations
This research focused on applying biological mathematics to analyzing predation relationships, especially the relationship between the Canadian Lynx and the Snowshoe Hare.
simulation
predator-prey
Lotka-Volterra
population
Canadian Lynx
Snowshoe Hare
critical values
Modeling Scenario
360
views
205
downloads
1
comments
1-092-DashItAll-ModelingSenario
This project uses very basic physics, Newton's Second Law of Motion, to model the motion of a sprinter running down a track. We derive the classic Hill-Keller model for a sprinter exerting ``maximum'' effort as he/she accelerates down a track.
data
running
sprint
Hill-Keller
world record
Olympics
Modeling Scenario
327
views
215
downloads
0
comments
1-100-EngineeringDemographics-ModelingScenario
Students show how models can be used to examine social issues. The students examine three different models and use numerical methods to apply each model to demographic data for the percentage of engineering degrees awarded to women in the United...
logistic
population
Improved Euler Method
Gompertz
demographics
women
autonomous
Potential Scenario
142
views
41
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
231
views
81
downloads
0
comments
1975-David_Burghes-Population dynamics An introduction to differential equations
In this paper a number of population models, which lead to differential equations, are derived. First-order variables separable equations are formulated from the Malthusian population model and its extension to include crowding effects.
fish
predator-prey
logistic
population
delay
lag
Free Online Textbook
458
views
90
downloads
0
comments
2012-Brian_Ingalls-Mathematical Modelling in Systems Biology An Introduction
This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and answers, and many rich examples.
spatial
sensitivity analysis
gene regulatory networks
stochastic
bifurcation
metabolic networks
electrophysiology
transduction
rate laws
biochemical reactions
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