Recent Student
Projects
The following projects were
presented at the at the
2022 MAA Missouri Section Meeting

Alex Schaeffer, Feasible
Region for Induction of Limit Cycles for a
Modified Schnakenberg Trimolecular TwoSpecies
Model

Braeden Vaughn, Periodic
Tissue Displacements of the Vocal Folds Modelled
During Phonation

Maggie White, Stability
analysis of a gene network model with limited
number of genes regulated by negative feedback
loops

Thomas Parra, Numerical
Exploration and Stability Analysis of Extended
Versions of Van der Pol Duffing

Sean O'Connor, Stability
Analysis and Numerical Simulations of an
Extended PredatorPrey Model

Kathryn Menta, Examinations
of Singular and Regular Perturbations on the
FitzhughNagumo Model

Jacob Salas, Linear stability
analysis of the GrayScott chemical reaction
model and a proposed generalization

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

Automatic Detection of
COVID19 Using Data Extracted from Chest Xray
Images

Seasonal Changes in Kansas
City 311 Service Requests

Changes in Kansas City 311
Service Requests Due to COVID19 Pandemic

Analyzing Intercorrelated
Factors among Kansas City Neighborhoods During
the COVID19 Pandemic

A Prospective Spaciotemporal
Analysis to Detect Clusters of COVID19 in
Kansas City, MO

Did the COVID19 Pandemic
Increase Math Anxiety in College Students?

Time Series Analysis of
COVID19 Cases in Kansas City, Missouri,

Evaluating the Spatial
Clusters of COVID19 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 COVID19 Outbreak: A CrossSpecies
Approach
 A Mathematical Model for Examining the
Effects of DrugResistant Salmonella in
Developing Countries
 A Mathematical Model to Investigate Epidemic
Waves of Math Anxiety
 A SEIQR Model to Investigate Travel Dynamics
from City of COVID19 Origin to Rest of World
 Simulations and Analysis of COVID19 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 SturmLiouville Theory to Analyze
Steady State Schrodinger Wave Equation
 Approximate solutions of a projectile
equation using perturbation theory
 Connecting SturmLiouville Theory and The
Principle of Stationary Action Through
FreeParticle 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 multistory building
Past Student
Projects







Modeling and numerical simulations of ecology
and evolution of infectious diseases

Using a mathematical model to understand the
contribution of transient shedders in spread of
paratuberculosis

Analysis of Crop Loss in Missouri Due to Spring
Freeze Events from 1979 to 2015

Gini coefficient and inequality of income
distribution

Semmelweis, nosocomial infections and
disinfectant resistance: disinfection and future
problems

The Effects of Atmospheric CO2 Levels on Earth
Surface Temperature

Dynamics of Chagas Disease in Rural Argentina
Affected by Environment: Comparing Coastal and
Mountain Regions

Triatoma infestans bug problem in Argentina:
Modeling and analysis

Classification and Regression Tree Analysis of
Smoking Cessation in Population of Smokers Who
Are Not Ready to Quit

Loggerhead Turtle Population

The Adjacency Matrix of a Graph

A
Mathematical Model of Oral Probiotic and
Indigenous Bacterial Ecology Within the Canine
Digestive Tract

Kansas City Gang Violence: Mathematical
Solutions to a Troubling Problem

Dynamics of Hemorrhagic Disease in Missouri
whitetailed deer population

An
Input Output Model Output Model of the U.S.
Economy

Dynamics of Pacific Salmon: Limit Cycles and
Chaotic Behavior

A
simple matching search engine for scientific
journals

Dynamics of Single Species Influenced by Density
Dependent Birth Functions

Pathogen Growth Strategies and Effectiveness of
Environmental Decontamination

Numerical Simulations of Decay of Satellite
Orbits

Nonlinear Dynamics of Suspension Bridge Models

Nonlinear Dynamics of a MassSpringDamper
System

Modeling and analysis of Coccidioidomycosis in
the endemic regions of Texas: effectiveness of
preventive measures

A
mathematical model to quantify the effects of
probiotics on the abundance of autochthonous
intestinal bacteria

Finding the optimal area needed at a marathon
postrace convention center

Emerald Ash Borer and Temperature Variations: A
mathematical Model

A
Mathematical Model of the Effectiveness of
Intervention in Smoking Cessation

Competitive Lotka–Volterra models to investigate
longterm dynamics of grassland rodents in
northeastern Kansas

A
Mathematical Model to Determine the Efficacy of
Community Intervention and Reform Programs on
Kansas City Violent Gang Activity

Modeling and analysis of Escherichia coli
O157:H7 in a dairy herd: influence intermittent
shedding and environmental persistence of
pathogen

Dynamics of Avian Influenza in wild birds:
Impacts of direct and indirect Transmissions

Numerical methods for finding eigenvalues of a
generalized population matrix

Fitting Oxygen Consumption Versus Live Weight of
the Larvae of the Moth Pachysphinx Modesta

An
agentbased modeling approach to understand the
contribution of super shedders in spread of
paratuberculosis

SemiMarkov process and Markov decision problem,
dynamics of infectious diseases

Analysis of bacterial population growth using
extended logistic growth model with distributed
delay

Seasonal dynamics of hemorrhagic disease in
Missouri whitetailed deer population

Dynamics of hemorrhagic disease in Missouri
whitetailed deer population

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.