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Downloads
Views
Date
Relevance
Potential Scenario
156
views
111
downloads
0
comments
2017-Biswasa-EtAl-Mathematical Modeling Applied to Sustainable Management of Marine Resources
We study a nonlinear mathematical model of fishery management to understand dynamics of a fishery resource system in an aquatic environment that consists of two zones; one free fishing zone and another reserve zone where fishing is strictly...
natural resources
marine resources
fishery model
Potential Scenario
186
views
83
downloads
0
comments
2017-Gilbert-Lewis-Harvesting of renewable natural resource
This is a resource to accompany a commercial text book and has a tutorial nature with some analysis and several good exercises
logistic
maximum sustainable yield
whale
harvest
renewable resource
constant harvest
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
Modeling Scenario
474
views
243
downloads
0
comments
6-005-InsectColonySurvivalOpt-ModelingScenario
We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number of different energy functions.
optimization
Optimal Control Theory
insect colony
optimal control
natural resources
Pointryagin's Maximum Principle
control variable
Modeling Scenario
1200
views
1266
downloads
0
comments
1-070-FisheryHarvest-ModelingScenario
Students model with logistic growth, harvesting, and diffusion in analyzing ocean fisheries of the Atlantic cod. We help students build models, ever more complex, to capture physical realities. At each stage we ask students to reflect on the model.
logistic
Diffusion
management
harvest
fishery
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
151
views
73
downloads
0
comments
2015-Sebesyen-Farago-Invasive Species Model with Linear Rat Harvesting on Easter Island
In this paper we suggest a natural modification of this model. Namely, we will investigate the case where the amount of the rats is decreased due to some external factor, e.g., exterminations by the people.
carrying capacity
harvest
Easter Island
invasie especies
rats
Roughgarden theorem.
Potential Scenario
195
views
53
downloads
0
comments
2016-Banks-EtAl-Modeling Bumble Bee Population Dynamics with Delay Differential Equations
To provide a tool for projecting and testing sensitivity of growth of populations under contrasting and combined pressures, we propose a delay differential equation model that describes multi-colony bumble bee population dynamics.
population model
Reproduction
spline approximations
Bombus terrestris
neonicotinoids
bumble bee
Article or Presentation
248
views
68
downloads
0
comments
2011-Lorelei_Koss-Sustainability_in_a_differential_equations_course_case_study_of_Easter_Island
Easter Island is a fascinating example of resource depletion and population collapse, and its relatively short period of human habitation combined with its isolation lends itself well to investigation by students in an ordinary differential course.
differential equations
sustainability
population
Easter Island
collapse
environmental collapse
Modeling Scenario
224
views
213
downloads
0
comments
4-050-ResonanceBeats-ModelingScenario
We study what can happen when a pure oscillator (no damper) is driven by a forced vibration function which has the same or close to the same natural frequency as the system it is driving.
Spring 2020 workshop
vibration
tuning
driver
resonance
forced vibration
undamped
beats
naturl frequency
Potential Scenario
225
views
75
downloads
0
comments
2014-Vance-Eads-Sensitivity Analysis of a Three-Species Nonlinear Response Omnivory Model with Predator Stage Structure
We investigate a three-species nonlinear response omnivory model incorporating stage structure in the top predator. The model consists of four coupled ordinary differential equations involving fourteen parameters.
stage structure
sensitivity analysis
mortality
omnivore
omnivory model
search rates
Potential Scenario
229
views
57
downloads
0
comments
2009-Schaffer-Bronnikova-Controlling malaria
The present paper reviews potential control strategies from the viewpoint of mathematical epidemiology.
epidemiology
malaria
bifurcation
mosquito
transgenic mosquitoes
Potential Scenario
132
views
38
downloads
0
comments
1992-CHF_Bulte-The differential equation of the deflection curve
This paper presents the derivation and physical meaning of the general fourth-order linear differential equation (with sectionally continuous derivatives) of the deflection curve and its general formulation and solution as a multipoint BVP.
beam
deflection
shear force
bending moment
critical load
natural frequency
Potential Scenario
130
views
66
downloads
0
comments
1999-F_Brauer-What Goes Up Must Come Down
This paper is a wonderfully general analysis of the following, “It is natural to ask whether a particle propelled upwards takes longer to fall to earth from its maximum height than it takes to rise to this maximum height for frictional forces.
projectile
friction
falling time
rising time
maximum height
Article or Presentation
131
views
47
downloads
0
comments
1999-F_Brauer-What_Goes_Up_Must_Come_Down
It is natural to ask whether a particle propelled upwards takes longer to fall to earth from its maximum height than it takes to rise to this maximum height for frictional forces that are nonlinear functions of velocity.
resistance
falling
projectile
vertical projectile
Potential Scenario
299
views
85
downloads
0
comments
2018-Meredith_Greer-Ella_Livesay-Mathematical Epidemiology Goes to College
In this article we present models that were inspired by two real-life outbreaks at a small residential college campus: H1N1 influenza in 2009 and, surprisingly, mumps in 2016.
epidemiology
disease
H1N1
Influenza
outbreak
Potential Scenario
158
views
69
downloads
0
comments
2017-William_Bialek-Boxes and Arrows To Differential Equations
This material uses pictures to build kinetic models of reactions and then offers analytic solutions.
Michaelis-Menten
Enzyme
substrate
DNA\kinetis
Potential Scenario
201
views
75
downloads
0
comments
2016-Devaki-Swathi-System of Differential Equations in Prey Predator Model
Predation relationship exists in ecological niches throughout the world. This is the species interaction which will be mathematically analyzed and embodied in this work.
extinction
Coevolution
predator
Lotka Volterra equations
pre
Potential Scenario
143
views
52
downloads
0
comments
2004-Charalampos_Toumasis-A mathematical diet model
This article describes an application of simple differential equations in the field of dietetics as it may be presented to a calculus class or a high school mathematics club.
diet
dietetics
Modeling Scenario
392
views
594
downloads
0
comments
1-076-ClimateBifurcation-ModelingScenario
We cover simple zero and one dimensional models for the mean temperature of the Earth. These models can exhibit bifurcations.
energy balance
climate
energy
albedo
Hysteresis
bifurcation
ice-age
greenhouse
balance
Stefan Boltzmann Law
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