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Downloads
Views
Date
Relevance
Potential Scenario
135
views
42
downloads
0
comments
1998-K_H_Louie_Clark-P_C_D_Newton-Analysis of differential equation models in biology-clover meristem populations
A simple differential equation model (dynamical system) for clover, based on meristem numbers, is outlined and analysed mathematically.
sensitivity analysis
stability analysis
steady states
growing points
buds
meristems
Potential Scenario
238
views
57
downloads
0
comments
2011-Radouane_Yafia-A Study of Differential Equations Modeling Malignant Tumor Cells in Competition with Immune System
In this paper, we present a competition model of malignant tumor growth that includes the immune system response. The model considers two populations: immune system (effector cells) and population of tumor (tumor cells).
Immunology
tumor
hopf bifrucation
Potential Scenario
248
views
38
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
Potential Scenario
144
views
59
downloads
0
comments
2017-Agmour-EtAl-Optimization of the Two Fishermen's Profits Exploiting Three Competing Species Where Prices Depend on Harvest
The main purpose of this work is to define the fishing effort that maximizes the profit of each fisherman, but all of them have to respect two constraints: the first one is the sustainable management of the resources and the second one is...
Fishing
harvest
Nash equilibrium
optimize
profits
Potential Scenario
360
views
62
downloads
0
comments
2018-Hu-Huang-Dynamic Regulation Responding to an External Stimulus
This study examines the dynamic regulation process responding to an external stimulus. This study introduces the driven damped oscillator model which has an additional parameter to identify different patterns of the steady state.
dynamical systems
regulation
steady state
sales model
external stimulus
Potential Scenario
115
views
51
downloads
0
comments
1987-Claude-Marmasse-Studies on differential equations of enzyme kinetics-Biomolecular scheme
The integral curve is compared with the solutions given by the two classical approximations to the problem: it is shown that the steady-state approximation is to be preferred to the rapid equilibrium theory as a general method.
steady-state model
isoclines
enzyme kinetics
Modeling Scenario
221
views
166
downloads
0
comments
4-035-ParEstSteadyState-ModelingScenario
Students estimate parameters in a second order, linear, ordinary differential equations through analysis of the steady state solution. By applying a driver we can collect data in terms of the parameters and estimate these parameters
driver
steady state
sum of square errors
Modeling Scenario
187
views
164
downloads
0
comments
3-150-ItsABlastFurnace-ModelingScenario
This project uses the steady-state heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.
steady state
heat equation
inverse problem
furnace
Modeling Scenario
259
views
208
downloads
0
comments
3-105-FrequencyResponse-ModelingScenario
We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.
transient dynamics
circuit
spring mass
driver
frequency response
amplitude
steady state
Potential Scenario
202
views
40
downloads
0
comments
2012-Campbell-EtAl-Parameter estimation in differential equation models with constrained states
We introduce a method to estimate parameters and states from a differential equation model while enforcing interpretability constraints such as monotone or non‐negative states.
chemical engineering
smoothing-based relaxation method
Potential Scenario
156
views
41
downloads
0
comments
2014-Brun-EtAl-An introduction to the mechanics of the lasso
Here, we study the mechanics of the simplest rope trick, the Flat Loop, in which the rope is driven by the steady circular motion of the roper’s hand in a horizontal plane.
bifurcation
motion
lasso
rod model
rodeo
Modeling Scenario
326
views
151
downloads
0
comments
1-001c-PopulationDecayThenSome-ModelingScenario
You will be modeling the following situation: 100 people are in a hotel. Each day, each person has a random chance of 50% of leaving the hotel. No new people enter the hotel.
simulation
occupancy
population
hotel
Potential Scenario
148
views
42
downloads
0
comments
2014-Yahdi-EtAl-Modeling and Sensitivity Analysis of the Role of Biodiversity to Control Pest Damage in Agroecosystems
The paper provides a mathematical framework for cost-effective and environmentally safe strategies to minimize alfalfa damage from pests in alfalfa agroecosystems with optimal biodiversity levels.
sensitivity analysis
predator
steady state
alfalfa
Shannon diversity index
plant herbivore
Potential Scenario
119
views
51
downloads
0
comments
2004-Aldo_Rescigno-On the use of pharmacokinetic models
In this paper I will define in a simple and logical way a set of useful pharmacokinetic parameters and show how their estimation depends on the assumed model.
compartment
steady state
pharmacokinetics
volume distribution
Modeling Scenario
363
views
161
downloads
0
comments
1-001d-HotelPopulationDecay-ModelingScenario
You will be modeling the following situation: 100 people are in a hotel. Each day, each person has a random chance of 50% of leaving the hotel. No new people enter the hotel. Before you run the simulation in MATLAB, answer some questions.
simulation
logistic
exponential decay
fitting
Potential Scenario
145
views
76
downloads
0
comments
2010-Keesom-EtAl-Fishing for Answers Investigating Sustainable Harvesting Ra
The purpose of this report is to determine and propose a model by which an optimal harvesting frequency can be determined to maintain a steady population of Alaskan salmon.
fisheries
Euler's method
nonlinear
logistic harvesting
canabalism
salmon
Modeling Scenario
219
views
241
downloads
0
comments
3-069-HeatInBar-ModelingScenario
The temperature distribution along a uniform slender bar due to conduction and convection is investigated through experimental, analytical, and numerical approaches.
heat transfer
experiment
conduction
convection
boundary conditions
finite volume method
Potential Scenario
165
views
58
downloads
0
comments
2008-Fogler-etAl-Elements of Chemical Reaction Engineering Strategies for Creative Problem Solving
This is a website with lots of modeling information, exercises, and lessons.
chemical reaction
Modeling Scenario
300
views
133
downloads
0
comments
1-118-SolowEconomicGrowth-ModelingScenario
Students construct and analyze the celebrated Solow-Swan model of economic growth theory. The project is divided into three sequential parts to teach students to understand, develop, and analyze a simple nonlinear model of economic dynamics.
optimization
economics
steady state
growth
Solow-Swan model
capital
production
labor
Golden Rule of Economic Growth
Modeling Scenario
253
views
246
downloads
0
comments
7-020-ThermometerInVaryingTempStream-ModelingScenario
We present a first order differential equation model for the temperature of a mercury thermometer which is sitting in a stream of water whose temperature oscillates. We suggest a solving strategy which uses Laplace Transforms.
temperature
steady state
thermometer
heat exchange
transfer function
phase lag
Invers Laplace Transform
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