Applied Mathematics Theses and Dissertations

 

This collection contains theses and dissertations from the Department of Applied Mathematics, collected from the Scholarship@Western Electronic Thesis and Dissertation Repository

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Theses/Dissertations from 2023

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Visual Cortical Traveling Waves: From Spontaneous Spiking Populations to Stimulus-Evoked Models of Short-Term Prediction, Gabriel B. Benigno

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Spike-Time Neural Codes and their Implication for Memory, Alexandra Busch

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Study of Behaviour Change and Impact on Infectious Disease Dynamics by Mathematical Models, Tianyu Cheng

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Series Expansions of Lambert W and Related Functions, Jacob Imre

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Data-Driven Exploration of Coarse-Grained Equations: Harnessing Machine Learning, Elham Kianiharchegani

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Pythagorean Vectors and Rational Orthonormal Matrices, Aishat Olagunju

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The Magnetic Field of Protostar-Disk-Outflow Systems, Mahmoud Sharkawi

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A Highly Charged Topic: Intrinsically Disordered Proteins and Protein pKa Values, Carter J. Wilson

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Population Dynamics and Bifurcations in Predator-Prey Systems with Allee Effect, Yanni Zeng

Theses/Dissertations from 2022

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A Molecular Dynamics Study Of Polymer Chains In Shear Flows and Nanocomposites, Venkat Bala

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On the Spatial Modelling of Biological Invasions, Tedi Ramaj

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Complete Hopf and Bogdanov-Takens Bifurcation Analysis on Two Epidemic Models, Yuzhu Ruan

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A Theoretical Perspective on Parasite-Host Coevolution with Alternative Modes of Infection, George N. Shillcock

Theses/Dissertations from 2021

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Mathematical Modelling & Simulation of Large and Small Scale Structures in Star Formation, Gianfranco Bino

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Mathematical Modelling of Ecological Systems in Patchy Environments, Ao Li

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Credit Risk Measurement and Application based on BP Neural Networks, Jingshi Luo

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Coevolution of Hosts and Pathogens in the Presence of Multiple Types of Hosts, Evan J. Mitchell

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SymPhas: A modular API for phase-field modeling using compile-time symbolic algebra, Steven A. Silber

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Population and Evolution Dynamics in Predator-prey Systems with Anti-predation Responses, Yang Wang

Theses/Dissertations from 2020

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The journey of a single polymer chain to a nanopore, Navid Afrasiabian

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Exploration Of Stock Price Predictability In HFT With An Application In Spoofing Detection, Andrew Day

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Multi-Scale Evolution of Virulence of HIV-1, David W. Dick

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Contraction Analysis of Functional Competitive Lotka-Volterra Systems: Understanding Competition Between Modified Bacteria and Plasmodium within Mosquitoes., Nickolas Goncharenko

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Phage-Bacteria Interaction and Prophage Sequences in Bacterial Genomes, Amjad Khan

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The Effect of the Initial Structure on the System Relaxation Time in Langevin Dynamics, Omid Mozafar

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Mathematical modelling of prophage dynamics, Tyler Pattenden

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Hybrid Symbolic-Numeric Computing in Linear and Polynomial Algebra, Leili Rafiee Sevyeri

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Abelian Integral Method and its Application, Xianbo Sun

Theses/Dissertations from 2019

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Algebraic Companions and Linearizations, Eunice Y. S. Chan

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Algorithms for Mappings and Symmetries of Differential Equations, Zahra Mohammadi

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Algorithms for Bohemian Matrices, Steven E. Thornton

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A Survey Of Numerical Quadrature Methods For Highly Oscillatory Integrals, Jeet Trivedi

Theses/Dissertations from 2018

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Properties and Computation of the Inverse of the Gamma function, Folitse Komla Amenyou

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Optimization Studies and Applications: in Retail Gasoline Market, Daero Kim

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Models of conflict and voluntary cooperation between individuals in non-egalitarian social groups, Cody Koykka

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Investigation of chaos in biological systems, Navaneeth Mohan

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Bifurcation Analysis of Two Biological Systems: A Tritrophic Food Chain Model and An Oscillating Networks Model, Xiangyu Wang

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Ecology and Evolution of Dispersal in Metapopulations, Jingjing Xu

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Selected Topics in Quantization and Renormalization of Gauge Fields, Chenguang Zhao

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Three Essays on Structural Models, Xinghua Zhou

Theses/Dissertations from 2017

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On Honey Bee Colony Dynamics and Disease Transmission, Matthew I. Betti

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Simulation of driven elastic spheres in a Newtonian fluid, Shikhar M. Dwivedi

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Feasible Computation in Symbolic and Numeric Integration, Robert H.C. Moir

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Modelling Walleye Population and Its Cannibalism Effect, Quan Zhou

Theses/Dissertations from 2016

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Dynamics of Discs in a Nematic Liquid Crystal, Alena Antipova

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Modelling the Impact of Climate Change on the Polar Bear Population in Western Hudson Bay, Nicole Bastow

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A comparison of solution methods for Mandelbrot-like polynomials, Eunice Y. S. Chan

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A model-based test of the efficacy of a simple rule for predicting adaptive sex allocation, Joshua D. Dunn

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Universal Scaling Properties After Quantum Quenches, Damian Andres Galante

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Modeling the Mass Function of Stellar Clusters Using the Modified Lognormal Power-Law Probability Distribution Function, Deepakshi Madaan

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Bacteria-Phage Models with a Focus on Prophage as a Genetic Reservoir, Alina Nadeem

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A Sequence of Symmetric Bézout Matrix Polynomials, Leili Rafiee Sevyeri

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Study of Infectious Diseases by Mathematical Models: Predictions and Controls, SM Ashrafur Rahman

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The survival probability of beneficial de novo mutations in budding viruses, with an emphasis on influenza A viral dynamics, Jennifer NS Reid

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Essays in Market Structure and Liquidity, Adrian J. Walton

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Computation of Real Radical Ideals by Semidefinite Programming and Iterative Methods, Fei Wang

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Studying Both Direct and Indirect Effects in Predator-Prey Interaction, Xiaoying Wang

Theses/Dissertations from 2015

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The Effect of Diversification on the Dynamics of Mobile Genetic Elements in Prokaryotes: The Birth-Death-Diversification Model, Nicole E. Drakos

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Algorithms to Compute Characteristic Classes, Martin Helmer

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Studies of Contingent Capital Bonds, Jingya Li

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Determination of Lie superalgebras of supersymmetries of super differential equations, Xuan Liu

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Edge states and quantum Hall phases in graphene, Pavlo Piatkovskyi

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Evolution of Mobile Promoters in Prokaryotic Genomes., Mahnaz Rabbani

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Extensions of the Cross-Entropy Method with Applications to Diffusion Processes and Portfolio Losses, Alexandre Scott

Theses/Dissertations from 2014

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A Molecular Simulation Study on Micelle Fragmentation and Wetting in Nano-Confined Channels, Mona Habibi

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Study of Virus Dynamics by Mathematical Models, Xiulan Lai

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Applications of Stochastic Control in Energy Real Options and Market Illiquidity, Christian Maxwell

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Options Pricing and Hedging in a Regime-Switching Volatility Model, Melissa A. Mielkie

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Optimal Contract Design for Co-development of Companion Diagnostics, Rodney T. Tembo

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Bifurcation of Limit Cycles in Smooth and Non-smooth Dynamical Systems with Normal Form Computation, Yun Tian

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Understanding Recurrent Disease: A Dynamical Systems Approach, Wenjing Zhang

Theses/Dissertations from 2013

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Pricing and Hedging Index Options with a Dominant Constituent Stock, Helen Cheyne

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On evolution dynamics and strategies in some host-parasite models, Liman Dai

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Valuation of the Peterborough Prison Social Impact Bond, Majid Hasan

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Sensitivity Analysis of Minimum Variance Portfolios, Xiaohu Ji

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Eigenvalue Methods for Interpolation Bases, Piers W. Lawrence

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Hybrid Lattice Boltzmann - Molecular Dynamics Simulations With Both Simple and Complex Fluids, Frances E. Mackay

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Ecological Constraints and the Evolution of Cooperative Breeding, David McLeod

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A single cell based model for cell divisions with spontaneous topology changes, Anna Mkrtchyan

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Analysis of Re-advanceable Mortgages, Almas Naseem

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Modeling leafhopper populations and their role in transmitting plant diseases., Ji Ruan

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Topological properties of modular networks, with a focus on networks of functional connections in the human brain, Estefania Ruiz Vargas

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Computation Sequences for Series and Polynomials, Yiming Zhang

Theses/Dissertations from 2012

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A Real Options Valuation of Renewable Energy Projects, Natasha Burke

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Approximate methods for dynamic portfolio allocation under transaction costs, Nabeel Butt

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Optimal clustering techniques for metagenomic sequencing data, Erik T. Cameron

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Phase Field Crystal Approach to the Solidification of Ferromagnetic Materials, Niloufar Faghihi

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Molecular Dynamics Simulations of Peptide-Mineral Interactions, Susanna Hug

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Molecular Dynamics Studies of Water Flow in Carbon Nanotubes, Alexander D. Marshall

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Valuation of Multiple Exercise Options, T. James Marshall

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Incomplete Market Models of Carbon Emissions Markets, Walid Mnif

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Topics in Field Theory, Alexander Patrushev

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Pricing and Trading American Put Options under Sub-Optimal Exercise Policies, William Wei Xing

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Further applications of higher-order Markov chains and developments in regime-switching models, Xiaojing Xi

Theses/Dissertations from 2011

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Bifurcations and Stability in Models of Infectious Diseases, Bernard S. Chan

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Real Options Models in Real Estate, Jin Won Choi

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Models, Techniques, and Metrics for Managing Risk in Software Engineering, Andriy Miranskyy

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Thermodynamics, Hydrodynamics and Critical Phenomena in Strongly Coupled Gauge Theories, Christopher Pagnutti

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Molecular Dynamics Studies of Interactions of Phospholipid Membranes with Dehydroergosterol and Penetrating Peptides, Amir Mohsen Pourmousa Abkenar

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Socially Responsible Investment in a Changing World, Desheng Wu