Browsing Applied Mathematics by Title
Now showing items 97-116 of 491
-
Dynamical Systems Methods Applied to the Michaelis-Menten and Lindemann Mechanisms
(University of Waterloo, 2009-08-06)In the first part of this thesis, we will explore an iterative procedure to determine the detailed asymptotic behaviour of solutions of a certain class of nonlinear vector differential equations which approach a nonlinear ... -
Dynamics And Control Of Foot-And-Mouth Disease In Endemic Countries: A Pair Approximation Model
(Elsevier, 2014-09-21)Previous mathematical models of spatial farm-to-farm transmission of foot and mouth disease (FMD) have explored the impacts of control measures such as culling and vaccination during a single outbreak in a country normally ... -
Dynamics of a Diffusive Nutrient-Phytoplankton-Zooplankton Model with Spatio-temporal Delay
(SIAM, 2021-01)We study a diffusive nutrient-phytoplankton-zooplankton (NPZ) model with spatio-temporal delay. The closed nature of the system allows the formulation of a conservation law of biomass that governs the ecosystem. We advance ... -
The Dynamics of Inhomogeneous Cosmologies
(University of Waterloo, 2004)In this thesis we investigate cosmological models more general than the isotropic and homogeneous Friedmann-Lemaître models. We focus on cosmologies with one spatial degree of freedom, whose matter content ... -
The Dynamics of the Beaufort Gyre
(University of Waterloo, 2020-09-23)The Beaufort gyre is located in the Canadian Arctic basin and is responsible for the dominant circulation of the Beaufort Sea. Currently, the gyre flows in an anti-cyclonic direction, which leads to the deflection of fresh ... -
Dynamics Of The Global Wheat Trade Network And Resilience To Shocks
(Nature Publishing Group, 2017-08-03)Agri-food trade networks are increasingly vital to human well-being in a globalising world. Models can help us gain insights into trade network dynamics and predict how they might respond to future disturbances such as ... -
The Early Universe: New Aspects of Cuscuton Theory, Modified Dispersion Relations and Pulsar Constraints on Vacuum Noise
(University of Waterloo, 2017-10-26)The modern cosmology started blossoming in the early 1900s, with the theoretical framework provided by Einstein's general relativity. Soon after that, with observational discoveries such as expansion of cosmos by Hubble ... -
Early Warning Signals of Vaccine Scares.
(University of Waterloo, 2016-09-26)There exists strong evidence that vaccines are extremely effective in the prevention of pediatric infectious disease, yet despite this evidence, vaccine refusal is still popular amongst some parents. Existing mathematical ... -
The Effect of Input Signals Time-Delay on Stabilizing Traffic with Autonomous Vehicles
(IEEE, 2021-05)This paper extends the results in [1] considering time delays in Standard Car Following models (CFMs). In [1], connected vehicles are characterized with CFMs models and controlled using linear string analysis to stabilize ... -
The Effect of Time-Varying Boundary Conditions on the Generation of Sum and Difference Frequency Tones in a Coaxial Loudspeaker
(University of Waterloo, 2009-06-22)A coaxial loudspeaker in which the woofer and tweeter oscillate at angular frequencies ω_1 and ω_2 respectively, is known to produce sum and difference frequencies ω_± = ω_1 ± ω_2. The generation of these can be attributed ... -
Effects of a Geostrophic Current on the Propagation and Generation of Internal Tides
(University of Waterloo, 2021-08-30)Internal tides (ITs) are ubiquitous in a stratified ocean where they are generated in response to tidal flows incident upon bottom topography. Along-shelf currents or boundary currents are ocean currents commonly observed ... -
The Effects of Confinement on Kelvin-Helmholtz Billows
(University of Waterloo, 2016-01-15)Turbulence is one of the most interesting and important, yet poorly understood, aspects of fluid mechanics. The transition from an unstable laminar flow to a fully turbulent flow can follow many paths depending on the ... -
The effects of dielectric decrement and finite ion size on differential capacitance of electrolytically gated graphene
(Elsevier, 2018-06-01)We analyze the effects of dielectric decrement and finite ion size in an aqueous electrolyte on the capacitance of a graphene electrode, and make comparisons with the effects of dielectric saturation combined with finite ... -
The Effects of Extrinsic and Intrinsic Noise on a Tumour and a Proposed Metastasis Model
(University of Waterloo, 2015-11-30)Cancer is a ubiquitous disease that afflicts millions of people worldwide and we will undoubtedly encounter it at some point in our lives, whether it be random strangers on the news, or someone much closer. As such, research ... -
The effects of flagellar hook compliance on motility of monotrichous bacteria: A modeling study
(AIP Publishing, 2012-06)A crucial structure in the motility of flagellated bacteria is the hook, which connects the flagellum filament to the motor in the cell body. Early mathematical models of swimming bacteria assume that the helically shaped ... -
Effects of the Dielectric Environment on the Electrical Properties of Graphene
(University of Waterloo, 2013-08-30)This thesis provides the study of graphene’s electrostatic interaction with the substrate surrounding it. Mathematical models based on current experimental configurations of graphene field-effect transistors (FET) are ... -
The Effects of the Earth's Rotation on Internal Wave Near-resonant Triads and Weakly Nonlinear Models
(University of Waterloo, 2007-08-24)This thesis investigates the effects of the earth's rotation on internal waves from two perspectives of nonlinear internal wave theory: near-resonant triads and weakly nonlinear models. We apply perturbation theory ... -
Efficiency-based hp-refinement for finite element methods
(University of Waterloo, 2007-08-23)Two efficiency-based grid refinement strategies are investigated for adaptive finite element solution of partial differential equations. In each refinement step, the elements are ordered in terms of decreasing local ... -
Efficient electrochemical model for lithium-ion cells
(2017-09-12)Lithium-ion batteries are used to store energy in electric vehicles. Physical models based on electro-chemistry accurately predict the cell dynamics, in particular the state of charge. However, these models are nonlinear ... -
Efficient Finite-difference Methods for Sensitivity Analysis of Stiff Stochastic Discrete Models of Biochemical Systems
(University of Waterloo, 2017-12-07)In the study of Systems Biology it is necessary to simulate cellular processes and chemical reactions that comprise biochemical systems. This is achieved through a range of mathematical modeling approaches. Standard methods ...