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Downloads
Views
Date
Relevance
Potential Scenario
121
views
37
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
196
views
60
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
117
views
39
downloads
0
comments
2014-Groetsch-Yost-Vertical Projection in a Resisting Medium - Revelations on Observations of Mersenne
This article, inspired by a 17th-century woodcut, validates empirical observations of Marin Mersenne (1588–1648) on timing of vertically-launched projectiles for a general mathematical model of resistance.
resistance
projectile
Potential Scenario
168
views
75
downloads
0
comments
2014-Enderling-Chaplain-Mathematical Modeling of Tumor Growth and Treatment
Herein we describe fundamentals of mathematical modeling of tumor growth and tumor-host interactions, and summarize some of the seminal and most prominent approaches.
cancer
tumor modeling
angiogenesis
tumor growth
patient care
Potential Scenario
178
views
63
downloads
0
comments
2014-Eckhoff-EtAl-Fun with maths-exploring implications of mathematical models for malaria eradication
. In this note, four examples demonstrate both the effects of model structures and assumptions and also the benefits of using a diversity of model approaches fomalaria eradication strategies.
vaccine
malaria
migration
eradication
seasonality
Potential Scenario
121
views
40
downloads
0
comments
2013-Michael-Evans-Growth and Decay
Sometimes, we can describe processes of growth and decay—whether physical, chemical, biological or sociological—by mathematical models.
exponential growth
exponential decay
isotopes
populations
resource depletion
Potential Scenario
162
views
46
downloads
0
comments
2013-Herald-EtAl-Simple Climate Models to Illustrate How Bifurcations Can Alter Equilibria and Stability
While college level science classes now frequently include exposure to climate change issues, not all science majors, math majors and future math K-12 teachers are likely to see climate issues in the course of their studies.
climate change
ice caps
tipping point
bifuircation
Potential Scenario
139
views
34
downloads
0
comments
2013-Boscolo-Stellato-Undergraduate study of harmonic and parametric motion of a simple spring-mass system from motion waveforms
In this paper, we describe a laboratory exercise that caters to beginning students while giving those with more background an opportunity to explore more complex aspects of the motion.
laboratory
experiment
spring mass
air friction
apparatus
waveforms
Potential Scenario
127
views
42
downloads
0
comments
2012-Rusinko-Swan-Agent-Based Fabric Modeling Using Differential Equations
We use an agent-based modeling software, NetLogo, to simulate fabric drape by applying a modified mass spring system.
NetLogo
spring mass
agent-based
draping
yarn
fabric
Potential Scenario
161
views
43
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
248
views
45
downloads
0
comments
2012-Hassan_Moore-Using projects to stimulate learning in mathematics and engineering mathematics courses
Given that time is a premium in the academy and project creation is a time consumer, three original projects, which may be injected into any Calculus III, Differential Equations, or Engineering Mathematics course, have been created.
solutions
class projects
physical phenomenon
Potential Scenario
203
views
50
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
142
views
61
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
123
views
45
downloads
0
comments
2011-Gaff-Lenhart-Use of optimal control models to predict treatment time for managing tick-borne disease
Tick-borne diseases have been on the rise recently, and correspondingly, there is an increased interest in implementing control measures to decrease the risk. Optimal control provides an ideal tool to identify the best method for reducing risk.
disease
optimal control
TICK
tick mode
ehrlichiosis
bang bang control
Potential Scenario
115
views
35
downloads
0
comments
2010-Del-Ciello-EtAl-Modeling Disease
We model the transmission of a disease through a population. Such modeling is very important to the study of epidemiology and the practice of medicine.
disease
spread
carries
symptomatic
asymptomatic
Potential Scenario
302
views
80
downloads
0
comments
2010-Brian_Winkel-Parameter estimates in differential equation models for chemical kinetics
We discuss the need for devoting time in differential equations courses to modelling and the completion of the modelling process with efforts to estimate the parameters in the models using data.
kinetics
chemical kinetics
zeroth order reaction
first order reaction
second order reaction
Potential Scenario
127
views
44
downloads
0
comments
2009-Reid-King-Pendulum Motion and Differential Equations
This article presents a relatively simple, real-world example that instructors can use in the classroom to let students explore the effect of simplifying assumptions on a model’s ability to reflect real-world behavior.
pendulum
physical pendulum
Potential Scenario
98
views
37
downloads
0
comments
2009-Marten-EtAl-Derivation and analysis of an ordinary differential equation for epilepsy dynamics
In this paper we describe how an ordinary differential equation model of corticothalamic interactions may be obtained from a more general system of delay differential equations.
delay
epilepsy dynamics
epilepsy
bistability
seizure activity
Potential Scenario
219
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
Potential Scenario
87
views
27
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
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