**About this Collection**

The works in this student research collection have been approved by the Graduate Faculty of Georgia Southern University as partial fulfillment of the requirements for the degree Master of Science in Mathematics from the College of Science and Mathematics.

Additional graduate student theses and dissertations are available at:

- All Electronic Theses and Dissertations (1964-present)
- Electronic Theses and Dissertations by Subject Area (1964-present)
- Legacy Theses and Dissertations (1964-2006)

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#### Theses/Dissertations from 2023

Stability Control of Laterally Coupled Quad-Loop Dynamical Systems, Novel Kumar Dey

Well-posedness and Scattering of Magnetic Nonlinear Schrodinger Equation in 3D, Kenneth C. Ifekaonwu

Change Point Analysis Using Cumulative Sum Charts, Apurv Patel

Survey Of Nonlinear Schrödinger Equations With Harmonic Potential, Ahmeed O. Yusuff

#### Theses/Dissertations from 2022

Survival Lifetime Models for Competitive Vaccination Strategies, Recovery and Disease Related Death in Infectious Disease Dynamical Systems, Md Mahmud Hasan

Reinforcement Learning: Low Discrepancy Action Selection for Continuous States and Actions, Jedidiah Lindborg

Modelling Muscle Activation Using EMG Signal, Mercy U. Okonna

EEG Signals Classification Using LSTM-Based Models and Majority Logic, James A. Orgeron

Cryptography Through the Lens of Group Theory, Dawson M. Shores

Non-Inferiority Testing: Kernel Estimation and Overlap Measure, Larie C. Ward

#### Theses/Dissertations from 2021

Arnold Transformations as Applied to Data Encryption, Haley N. Anderson

Numerical Approximation of Lyapunov Exponents and its Applications in Control Systems, Nakita K. Andrews

LSTM-Based Model For Human Brain Decisions Using EEG Signals Analysis, Lorela Bano

Automated Detection of COVID-19 with X-ray images by Neural Network Based Algorithms, Leslie J. Douglas

Spline Interpolation and Optimization on Sparse Grids, Chukwugozirim Ehirim

Unsupervised Classification of Atmospheric Ozone Profiles, Fouzia Fahrin

Bias of Rank Correlation Under A Mixture Model, Russell Land

Implementing a Neural Network for Supervised Learning with a Random Configuration of Layers and Nodes, Kane A. Phillips

An Improved Mathematical Model for Anterior-Posterior Patterning of Drosophila Wing Disc, Mohammad Rubayet Rahman

New Results on Cyclic Compositions and Multicompositions, Silvana Ramaj

#### Theses/Dissertations from 2020

Change Point Analysis with Control Charts, Ibrahim L. Alliu

On Global in Time Asymptotics for Nonlinear Schrödinger Equation with Angular Momentum, Aleh Asipchuk

Impact of Historical Borrowing in Bayesian Non-Inferiority Trial with Binary Data, Lingling Chen

Association Rules Patterns Discovery From Mixed Data, Welendawa Acharige Charith A. Elson

Analysis on Sharp and Smooth Interface, Elizabeth V. Hawkins

A Study of the Gross Pitaevskii Equation Ground State Solutions Using Artificial Neural Networks, Mehtab Iqbal

Reduced Dataset Neural Network Model for Manuscript Character Recognition, Mohammad Anwarul Islam

Artificial Neural Network Models for Pattern Discovery from ECG Time Series, Mehakpreet Kaur

Some New Lifetime Distributions: Lindley Log-Logistic And Kumaraswamy Lindley Log-Logistic Distributions With Applications, Elizabeth Kenkwo

Mining Hidden Markov Models in Sequences of Characters Using Recurrent Neural Networks, Sushmita Khan

Explicit Pseudo-Kähler Metrics on Flag Manifolds, Thomas A. Mason III

Decision Pattern Detection From Brain Response To Marketing Stimuli, Lateef Rasheed

Path-Following Interior Point Method With Improved Iteration Bounds For Monotone Linear Complementarity Problem, Tiffani Williams

#### Theses/Dissertations from 2019

Regression Tree Construction for Reinforcement Learning Problems With a General Action Space, Anthony S. Bush Jr

Essays on Mixture Models, Trevor R. Camper

Survey of Results on Scattering for Magnetic Nonlinear Schrödinger Equation in 3-D and a Class of Nonlocal Conservation Laws, Oluwaseun P. Farotimi

Inverse Problems Related to the Wiener and Steiner-Wiener Indices, Matthew Gentry

Gallai-Ramsey Number for Classes of Brooms, Benjamin J. Hamlin

Taking a Canon to the Adjunction Formula, Paul M. Harrelson

Modelling The Stochastic Dynamics of Typhoid Fever and Statistical Determination of Epidemiological Outcomes, Omotomilola Onaopemipo Jegede

Data Patterns Discovery Using Unsupervised Learning, Rachel A. Lewis

Homological Constructions over a Ring of Characteristic 2, Michael S. Nelson

Some New Generalized Distribution via Lindley-WeibulI and Lindley-Log-Logistic Distributions with Applications, Soliu A. Raheem

Studying The Stochastic Dynamics Of Pneumonia Epidemics: Chain-Binomial Modeling, Maximum Likelihood Estimation And Expectation Maximization Algorithm, Chinmoy Roy Rahul

MEWMA Charts for Controlling the Process Covariance Matrix, Oleh Sorokin

Conflict Free Connectivity and the Conflict-Free-Connection Number of Graphs, Travis D. Wehmeier

Totally Acyclic Complexes, Holly M. Zolt

#### Theses/Dissertations from 2018

Bayesian Approach to Three Arm Non-Inferiority Clinical Trial Using Negative Binomial Endpoint, Ayoola Ademola

Optimal Supply Delivery Under Military Specific Constraints, TaLena Fletcher

A Survey of Clustering Analysis and Clustering Analysis in Graphs, Raven D. Gilmore

Some New and Generalized Distributions Via Exponentiation, Gamma and Marshall-Olkin Generators with Applications, Hameed Abiodun Jimoh

A Journey to the Adic World, Fayadh Kadhem

Blow up Solution of Bose-Einstein Condensates with Anisotropic Trapping Potential and Rotation, Christopher Leonard

Multiclass Classification of Risk Factors for Cervical Cancer Using Artificial Neural Networks, Abdullah Al Mamun

Application of Evolutionary Network Concept in Structuring Mathematics Curriculum, Aditi Mitra

A Comparison of Bridge Deterioration Models, Toktam Naderimoghaddam

Exploring Mathematical Logic Involving Infinity and Problem Solving, Courtney NeSmith

Stochastic Modeling and Parameter Estimation for Influenza Epidemics, Charles C. Newman

Multiclass Classification Using Support Vector Machines, Duleep Prasanna W. Rathgamage Don

Survey of Results on the Schrodinger Operator with Inverse Square Potential, Richardson Saint Bonheur

Sparse Trees with a Given Degree Sequence, Ao Shen

Old English Character Recognition Using Neural Networks, Sattajit Sutradhar

#### Theses/Dissertations from 2017

The Burr XII Generalized Weibull Distribution with Applications, Sarah A. Ayoku

Graph Invariants of Trees with Given Degree Sequence, Rachel Bass

A Journey to Fuzzy Rings, Brett T. Ernst

Combinatorics of Compositions, Meghann M. Gibson

A Markov Decision Process Approach to Adaptive Contact Strategies, Artur Grygorian

On Gallai-Ramsey Numbers of Complete Bipartite Graphs, Seth Gutierrez

Modeling Volatility of Financial Time Series Using Arc Length, Benjamin H. Hoerlein

Pattern Containment in Circular Permutations, Charles Lanning

ADRC Based Control of Nonlinear Dynamical System with Multiple Sources of Disturbance and Multiple Inputs, Chan Mi Park

Optimization Methods for Tabular Data Protection, Iryna Petrenko

Dynamics of Gene Networks in Cancer Research, Paul Scott

Fiber Products in Commutative Algebra, Keller VandeBogert

The Bessel Function, the Hankel Transform and an Application to Differential Equations, Isaac C. Voegtle

Quasi-Random Action Selection In Markov Decision Processes, Samuel D. Walker

Applications of Flow Network Models in Finance, Angel J. Woods

#### Theses/Dissertations from 2016

Blow-Up Solution and Blow-Up Rate of Bose-Einstein Condensates with Rotational Term, Nyla Basharat

GARCH(1,1) with Sifted Gamma-distributed Errors, Alan C. Budd

Gorenstein projective precovers in the category of modules, Katelyn Coggins

Stabilizing a Chaotic Lorenz System with an ADRC Controller, Zachary E. Espe

Gorenstein Projective (Pre)Covers, Michael J. Fox

Gallai-Ramsey Number of An 8-Cycle, Jonathan Gregory

Combinatorial Optimization of Subsequence Patterns in Words, Matthew R. Just

Geometric-Based Algorithm for a Full Row-Rank System Matrix Along Multiple Directions in DT, Igor Lutsenko

The Forcing and Forbidding of Rainbow-Colored Subgraphs with Implications, Brian A. Pyron

A Partition Function Connected with the Göllnitz-Gordon Identities, Nicolas A. Smoot

Stereographic Visualization of Bose-Einstein Condensate Clouds to Measure the Gravitational Constant, Ed Wesley Wells

#### Theses/Dissertations from 2015

A survey of mathematical models of Dengue fever, Iurii Bakach

Enumerating Graphs Using Integrals From Quantum Field Theory, William A. Coggins

Bayesian Inference of the Weibull-Pareto Distribution, James Dow

Automorphisms of Graph Curves on K3 Surfaces, Joshua C. Ferrerra

Graphs of Classroom Networks, Rebecca Holliday

Solutions of Inequality Constrained Spline Optimization Problems with the Active Set Method, Joshua A. Holloway

Computational Study of Kernel - Based Interior - Point Method for LCP, Robert Katic

The Sensitivity of a Test Based on Spearman's Rho in Cross-Correlation Change Point Problems, Congjian Liu

Using Graph Clustering to Analyze the Spread of an Infectious Disease on a Random Large Social Network Graph, Patrick R. Morley

Improved Full-Newton-Step Infeasible Interior-Point Method for Linear Complementarity Problems, Mustafa Ozen