Recent Student
Projects
The following projects were
presented at the at the
2022 MAA Missouri Section Meeting
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Alex Schaeffer, Feasible
Region for Induction of Limit Cycles for a
Modified Schnakenberg Trimolecular Two-Species
Model
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Braeden Vaughn, Periodic
Tissue Displacements of the Vocal Folds Modelled
During Phonation
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Maggie White, Stability
analysis of a gene network model with limited
number of genes regulated by negative feedback
loops
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Thomas Parra, Numerical
Exploration and Stability Analysis of Extended
Versions of Van der Pol Duffing
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Sean O'Connor, Stability
Analysis and Numerical Simulations of an
Extended Predator-Prey Model
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Kathryn Menta, Examinations
of Singular and Regular Perturbations on the
Fitzhugh-Nagumo Model
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Jacob Salas, Linear stability
analysis of the Gray-Scott chemical reaction
model and a proposed generalization
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Allyson Jenkins, Modeling and
Analysis of the Duffing Oscillator with
Exponentially Decaying Driving Force
The following graduate projects were presented at the
Seventh Annual UMKC Math & Stat Research Day
Spring 2021
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Automatic Detection of
COVID-19 Using Data Extracted from Chest X-ray
Images
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Seasonal Changes in Kansas
City 311 Service Requests
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Changes in Kansas City 311
Service Requests Due to COVID-19 Pandemic
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Analyzing Intercorrelated
Factors among Kansas City Neighborhoods During
the COVID-19 Pandemic
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A Prospective Spaciotemporal
Analysis to Detect Clusters of COVID-19 in
Kansas City, MO
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Did the COVID-19 Pandemic
Increase Math Anxiety in College Students?
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Time Series Analysis of
COVID-19 Cases in Kansas City, Missouri,
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Evaluating the Spatial
Clusters of COVID-19 with Respect to Demographic
Factors in Kansas City, MO,
The following graduate projects were presented at the
Sixth Annual UMKC Math & Stat Research Day
Spring 2020 (Class of Math 5521)
- Modeling COVID-19 Outbreak: A Cross-Species
Approach
- A Mathematical Model for Examining the
Effects of Drug-Resistant Salmonella in
Developing Countries
- A Mathematical Model to Investigate Epidemic
Waves of Math Anxiety
- A SEIQR Model to Investigate Travel Dynamics
from City of COVID-19 Origin to Rest of World
- Simulations and Analysis of COVID-19 Spread:
Lessens to be learned, Master's Research Project
The following graduate projects were presented at the
Fifth Annual UMKC Math & Stat Research Day
Spring 2019 (Class of Math 5545)
- Modeling and Simulation of Diffraction
Through a Circular Aperture
- Using Sturm-Liouville Theory to Analyze
Steady State Schrodinger Wave Equation
- Approximate solutions of a projectile
equation using perturbation theory
- Connecting Sturm-Liouville Theory and The
Principle of Stationary Action Through
Free-Particle Dynamics
- A mathematical model to study the effects of
partial remediation of groundwater contaminant
source
- Applications of principal component analysis
in multichannel image processing
The following undergraduate projects were presented at
the
UMKC Symposium of Undergraduate Research & Creative Scholarship, Spring 2019
(class of Math 345)
- A model to quantify the safe range of
submarine operation
- Mathematics of Restoration and Land Recovery
- A Safer Bungee Jump Using A Mathematical
Model
- Mathematical Modeling of Thalamocortical
Circuit
- Microplastic Pollution in the Great Lakes
- Mathematical Analysis of Pharmacokinetics in
Sertraline
- Mathematical Modeling and Simulations of
Crane Oscillation
- Damping systems in a multi-story building
Past Student
Projects
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Modeling and numerical simulations of ecology
and evolution of infectious diseases
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Using a mathematical model to understand the
contribution of transient shedders in spread of
paratuberculosis
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Analysis of Crop Loss in Missouri Due to Spring
Freeze Events from 1979 to 2015
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Gini coefficient and inequality of income
distribution
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Semmelweis, nosocomial infections and
disinfectant resistance: disinfection and future
problems
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The Effects of Atmospheric CO2 Levels on Earth
Surface Temperature
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Dynamics of Chagas Disease in Rural Argentina
Affected by Environment: Comparing Coastal and
Mountain Regions
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Triatoma infestans bug problem in Argentina:
Modeling and analysis
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Classification and Regression Tree Analysis of
Smoking Cessation in Population of Smokers Who
Are Not Ready to Quit
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Loggerhead Turtle Population
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The Adjacency Matrix of a Graph
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A
Mathematical Model of Oral Probiotic and
Indigenous Bacterial Ecology Within the Canine
Digestive Tract
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Kansas City Gang Violence: Mathematical
Solutions to a Troubling Problem
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Dynamics of Hemorrhagic Disease in Missouri
white-tailed deer population
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An
Input -Output Model Output Model of the U.S.
Economy
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Dynamics of Pacific Salmon: Limit Cycles and
Chaotic Behavior
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A
simple matching search engine for scientific
journals
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Dynamics of Single Species Influenced by Density
Dependent Birth Functions
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Pathogen Growth Strategies and Effectiveness of
Environmental Decontamination
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Numerical Simulations of Decay of Satellite
Orbits
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Nonlinear Dynamics of Suspension Bridge Models
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Nonlinear Dynamics of a Mass-Spring-Damper
System
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Modeling and analysis of Coccidioidomycosis in
the endemic regions of Texas: effectiveness of
preventive measures
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A
mathematical model to quantify the effects of
probiotics on the abundance of autochthonous
intestinal bacteria
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Finding the optimal area needed at a marathon
post-race convention center
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Emerald Ash Borer and Temperature Variations: A
mathematical Model
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A
Mathematical Model of the Effectiveness of
Intervention in Smoking Cessation
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Competitive Lotka–Volterra models to investigate
long-term dynamics of grassland rodents in
northeastern Kansas
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A
Mathematical Model to Determine the Efficacy of
Community Intervention and Reform Programs on
Kansas City Violent Gang Activity
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Modeling and analysis of Escherichia coli
O157:H7 in a dairy herd: influence intermittent
shedding and environmental persistence of
pathogen
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Dynamics of Avian Influenza in wild birds:
Impacts of direct and indirect Transmissions
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Numerical methods for finding eigenvalues of a
generalized population matrix
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Fitting Oxygen Consumption Versus Live Weight of
the Larvae of the Moth Pachysphinx Modesta
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An
agent-based modeling approach to understand the
contribution of super shedders in spread of
paratuberculosis
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Semi-Markov process and Markov decision problem,
dynamics of infectious diseases
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Analysis of bacterial population growth using
extended logistic growth model with distributed
delay
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Seasonal dynamics of hemorrhagic disease in
Missouri white-tailed deer population
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Dynamics of hemorrhagic disease in Missouri
white-tailed deer population
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Using Data analysis and Linear Regression to
drive changes in classroom instruction
Matlab code are available for simple disease
models and population models.
There are also codes for simulations of the Lorenz
chaotic system. Feel free to contact me if
you need help with Matlab coding.
Preferred
qualifications:
Please
contact me, if you are
interested to work with me on a modeling project.
Here are the preferred qualifications.
(1) strong knowledge of calculus, ordinary differential equation, matrix theory and linear algebra
(2) quantitative, analytical and programming skills (preferably MATLAB, R, or Python)
(3) background and/or interest in applied mathematics
(4) ability to communicate effectively in spoken and written English.