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
Theses/Dissertations from 2024
Osculating Curves, Sepideh Bahrami
Group living features can challenge predictions for the evolution of altruistic behaviors, Alan Flatres
Host-Pathogen Co-evolution with Various Transmission Modes of Infection and Density-Dependent Dynamics, bita ghodsi
Modeling and Analysis of Mosquito population dynamics and Mosquito-borne disease dynamics, Doli Rani Pal
Impact of fluctuating selection on genetic variation when new mutations are expected to be deleterious, Zahra Shafiei
Impact of Energy Allocation on Fish's Age and Weight at Maturation by Mathematical Models, Siyi Zhang
Theses/Dissertations from 2023
Visual Cortical Traveling Waves: From Spontaneous Spiking Populations to Stimulus-Evoked Models of Short-Term Prediction, Gabriel B. Benigno
Spike-Time Neural Codes and their Implication for Memory, Alexandra Busch
Study of Behaviour Change and Impact on Infectious Disease Dynamics by Mathematical Models, Tianyu Cheng
Series Expansions of Lambert W and Related Functions, Jacob Imre
Data-Driven Exploration of Coarse-Grained Equations: Harnessing Machine Learning, Elham Kianiharchegani
Pythagorean Vectors and Rational Orthonormal Matrices, Aishat Olagunju
The Magnetic Field of Protostar-Disk-Outflow Systems, Mahmoud Sharkawi
A Highly Charged Topic: Intrinsically Disordered Proteins and Protein pKa Values, Carter J. Wilson
Population Dynamics and Bifurcations in Predator-Prey Systems with Allee Effect, Yanni Zeng
Theses/Dissertations from 2022
A Molecular Dynamics Study Of Polymer Chains In Shear Flows and Nanocomposites, Venkat Bala
On the Spatial Modelling of Biological Invasions, Tedi Ramaj
Complete Hopf and Bogdanov-Takens Bifurcation Analysis on Two Epidemic Models, Yuzhu Ruan
A Theoretical Perspective on Parasite-Host Coevolution with Alternative Modes of Infection, George N. Shillcock
Theses/Dissertations from 2021
Mathematical Modelling & Simulation of Large and Small Scale Structures in Star Formation, Gianfranco Bino
Mathematical Modelling of Ecological Systems in Patchy Environments, Ao Li
Credit Risk Measurement and Application based on BP Neural Networks, Jingshi Luo
Coevolution of Hosts and Pathogens in the Presence of Multiple Types of Hosts, Evan J. Mitchell
SymPhas: A modular API for phase-field modeling using compile-time symbolic algebra, Steven A. Silber
Population and Evolution Dynamics in Predator-prey Systems with Anti-predation Responses, Yang Wang
Theses/Dissertations from 2020
The journey of a single polymer chain to a nanopore, Navid Afrasiabian
Exploration Of Stock Price Predictability In HFT With An Application In Spoofing Detection, Andrew Day
Multi-Scale Evolution of Virulence of HIV-1, David W. Dick
Contraction Analysis of Functional Competitive Lotka-Volterra Systems: Understanding Competition Between Modified Bacteria and Plasmodium within Mosquitoes., Nickolas Goncharenko
Phage-Bacteria Interaction and Prophage Sequences in Bacterial Genomes, Amjad Khan
The Effect of the Initial Structure on the System Relaxation Time in Langevin Dynamics, Omid Mozafar
Mathematical modelling of prophage dynamics, Tyler Pattenden
Hybrid Symbolic-Numeric Computing in Linear and Polynomial Algebra, Leili Rafiee Sevyeri
Abelian Integral Method and its Application, Xianbo Sun
Theses/Dissertations from 2019
Algebraic Companions and Linearizations, Eunice Y. S. Chan
Algorithms for Mappings and Symmetries of Differential Equations, Zahra Mohammadi
Algorithms for Bohemian Matrices, Steven E. Thornton
A Survey Of Numerical Quadrature Methods For Highly Oscillatory Integrals, Jeet Trivedi
Theses/Dissertations from 2018
Properties and Computation of the Inverse of the Gamma function, Folitse Komla Amenyou
Optimization Studies and Applications: in Retail Gasoline Market, Daero Kim
Models of conflict and voluntary cooperation between individuals in non-egalitarian social groups, Cody Koykka
Investigation of chaos in biological systems, Navaneeth Mohan
Bifurcation Analysis of Two Biological Systems: A Tritrophic Food Chain Model and An Oscillating Networks Model, Xiangyu Wang
Ecology and Evolution of Dispersal in Metapopulations, Jingjing Xu
Selected Topics in Quantization and Renormalization of Gauge Fields, Chenguang Zhao
Three Essays on Structural Models, Xinghua Zhou
Theses/Dissertations from 2017
On Honey Bee Colony Dynamics and Disease Transmission, Matthew I. Betti
Simulation of driven elastic spheres in a Newtonian fluid, Shikhar M. Dwivedi
Feasible Computation in Symbolic and Numeric Integration, Robert H.C. Moir
Modelling Walleye Population and Its Cannibalism Effect, Quan Zhou
Theses/Dissertations from 2016
Dynamics of Discs in a Nematic Liquid Crystal, Alena Antipova
Modelling the Impact of Climate Change on the Polar Bear Population in Western Hudson Bay, Nicole Bastow
A comparison of solution methods for Mandelbrot-like polynomials, Eunice Y. S. Chan
A model-based test of the efficacy of a simple rule for predicting adaptive sex allocation, Joshua D. Dunn
Universal Scaling Properties After Quantum Quenches, Damian Andres Galante
Modeling the Mass Function of Stellar Clusters Using the Modified Lognormal Power-Law Probability Distribution Function, Deepakshi Madaan
Bacteria-Phage Models with a Focus on Prophage as a Genetic Reservoir, Alina Nadeem
A Sequence of Symmetric Bézout Matrix Polynomials, Leili Rafiee Sevyeri
Study of Infectious Diseases by Mathematical Models: Predictions and Controls, SM Ashrafur Rahman
The survival probability of beneficial de novo mutations in budding viruses, with an emphasis on influenza A viral dynamics, Jennifer NS Reid
Essays in Market Structure and Liquidity, Adrian J. Walton
Computation of Real Radical Ideals by Semidefinite Programming and Iterative Methods, Fei Wang
Studying Both Direct and Indirect Effects in Predator-Prey Interaction, Xiaoying Wang
Theses/Dissertations from 2015
The Effect of Diversification on the Dynamics of Mobile Genetic Elements in Prokaryotes: The Birth-Death-Diversification Model, Nicole E. Drakos
Algorithms to Compute Characteristic Classes, Martin Helmer
Studies of Contingent Capital Bonds, Jingya Li
Determination of Lie superalgebras of supersymmetries of super differential equations, Xuan Liu
Edge states and quantum Hall phases in graphene, Pavlo Piatkovskyi
Evolution of Mobile Promoters in Prokaryotic Genomes., Mahnaz Rabbani
Extensions of the Cross-Entropy Method with Applications to Diffusion Processes and Portfolio Losses, Alexandre Scott
Theses/Dissertations from 2014
A Molecular Simulation Study on Micelle Fragmentation and Wetting in Nano-Confined Channels, Mona Habibi
Study of Virus Dynamics by Mathematical Models, Xiulan Lai
Applications of Stochastic Control in Energy Real Options and Market Illiquidity, Christian Maxwell
Options Pricing and Hedging in a Regime-Switching Volatility Model, Melissa A. Mielkie
Optimal Contract Design for Co-development of Companion Diagnostics, Rodney T. Tembo
Bifurcation of Limit Cycles in Smooth and Non-smooth Dynamical Systems with Normal Form Computation, Yun Tian
Understanding Recurrent Disease: A Dynamical Systems Approach, Wenjing Zhang
Theses/Dissertations from 2013
Pricing and Hedging Index Options with a Dominant Constituent Stock, Helen Cheyne
On evolution dynamics and strategies in some host-parasite models, Liman Dai
Valuation of the Peterborough Prison Social Impact Bond, Majid Hasan
Sensitivity Analysis of Minimum Variance Portfolios, Xiaohu Ji
Eigenvalue Methods for Interpolation Bases, Piers W. Lawrence
Hybrid Lattice Boltzmann - Molecular Dynamics Simulations With Both Simple and Complex Fluids, Frances E. Mackay
Ecological Constraints and the Evolution of Cooperative Breeding, David McLeod
A single cell based model for cell divisions with spontaneous topology changes, Anna Mkrtchyan
Analysis of Re-advanceable Mortgages, Almas Naseem
Modeling leafhopper populations and their role in transmitting plant diseases., Ji Ruan
Topological properties of modular networks, with a focus on networks of functional connections in the human brain, Estefania Ruiz Vargas
Computation Sequences for Series and Polynomials, Yiming Zhang
Theses/Dissertations from 2012
A Real Options Valuation of Renewable Energy Projects, Natasha Burke
Approximate methods for dynamic portfolio allocation under transaction costs, Nabeel Butt
Optimal clustering techniques for metagenomic sequencing data, Erik T. Cameron
Phase Field Crystal Approach to the Solidification of Ferromagnetic Materials, Niloufar Faghihi
Molecular Dynamics Simulations of Peptide-Mineral Interactions, Susanna Hug
Molecular Dynamics Studies of Water Flow in Carbon Nanotubes, Alexander D. Marshall
Valuation of Multiple Exercise Options, T. James Marshall
Incomplete Market Models of Carbon Emissions Markets, Walid Mnif
Topics in Field Theory, Alexander Patrushev
Pricing and Trading American Put Options under Sub-Optimal Exercise Policies, William Wei Xing
Further applications of higher-order Markov chains and developments in regime-switching models, Xiaojing Xi