Browsing Applied Mathematics by Title
Now showing items 210-229 of 491
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The influence of social behaviour on competition between virulent pathogen strains
(Elsevier, 2018-10-14)Infectious disease interventions like contact precautions and vaccination have proven effective in disease control and elimination. The priority given to interventions can depend strongly on how virulent the pathogen is, ... -
The Influence Of Social Norms On The Dynamics Of Vaccinating Behaviour For Paediatric Infectious Diseases
(Royal Society, The, 2014-04-07)Mathematical models that couple disease dynamics and vaccinating behaviour often assume that the incentive to vaccinate disappears if disease prevalence is zero. Hence, they predict that vaccine refusal should be the rule, ... -
Influence of the Atlantic Multidecadal Variability on the climate response to external forcing
(University of Waterloo, 2018-08-29)Internal climate variability has been found to influence the climate response to an external forcing such as CO2. This thesis investigates the influence of the Atlantic Multidecadal Variability (AMV), a mode of internal ... -
Information flow at the quantum-classical boundary
(University of Waterloo, 2008-08-28)The theory of decoherence aims to explain how macroscopic quantum objects become effectively classical. Understanding this process could help in the search for the quantum theory underlying gravity, and suggest new schemes ... -
Information propagation and entanglement generation between two Unruh-DeWitt detectors
(University of Waterloo, 2010-07-23)The setup in which two quantum systems, Alice and Bob, communicate using bosonic field quanta can be viewed as a prototype for wireless quantum communication. In this thesis we focus on the most basic case, where Alice ... -
The Instability of Geophysical Flows: Two-layer Frontal Instabilities and Continuously Stratified Inertial Instabilities
(University of Waterloo, 2020-09-11)This thesis examines the instabilities of idealized two layer fronts with vertically curved interfaces as well as the inertial instabilities of barotropic and baroclinic jets with background linear stratification. We ... -
The Instability of Mesoscale Jets in Idealized Two-Layer Models
(University of Waterloo, 2014-08-06)The rotating shallow water (RSW) equations have been used extensively in oceanographic literature to model dynamical elements of the world’s oceans and atmosphere at large scales. The RSW model is a simple and useful model ... -
An Integral Projection Model for Giant Hogweed
(University of Waterloo, 2019-02-04)In this thesis I investigate the impact that the choice of model may have on predictions of giant hogweed population dynamics. It has been shown in two case studies that population growth rates predicted by matrix population ... -
Integrating Experimental and Computational Approaches to Optimize 3D Bioprinting of Cancer Cells
(University of Waterloo, 2023-08-21)A key feature distinguishing 3D bioprinting from other 3D cell culture techniques is its precise control over created structures. This property allows for the high-resolution fabrication of biomimetic structures with ... -
Interaction of Brain Cancer Stem Cells and the Tumour Microenvironment: A Computational Study
(University of Waterloo, 2012-01-10)Glioblastoma multiforme (GBM) is one of the most common and aggressive primary brain tumours, with a median patient survival time of 6-12 months in adults. It has been recently suggested that a typically small sub-population ... -
The Interactions of Graphene with Ionic Solutions and Their Effects on the Differential Capacitance for Sensing Applications
(University of Waterloo, 2019-08-28)Nano-scale devices continue to challenge the theoretical understanding of microscopic systems. Of particular interest is the characterization of the interface electrochemistry of sensors, which operate as field effect ... -
Interconnections accelerate collapse in a socio-ecological metapopulation
(Cold Spring Harbor Laboratory, 2017-09-28)Resource over-exploitation can have profound effects on both ecosystems and the human populations residing in them. Models of population growth based on a depletable resources have been studied previously, but relatively ... -
Internal Wave Generation and Near-Resonant Interactions: Theory and Applications
(University of Waterloo, 2011-04-29)Near-resonant triad interactions and wave generation theory are investigated for continuously stratified fluids. Interaction equations are derived for spatially-varying wave trains under the inviscid Boussinesq approximation. ... -
Internal Wave Interaction with Broad Topography in the Presence of a Near-Bottom Stratification
(University of Waterloo, 2016-05-02)This thesis considers the impact of internal waves on the transport of suspended matter across the bottom boundary layer. High resolution two- and three-dimensional direct numerical simulations of fully nonlinear, ... -
Internet Congestion Control: Modeling and Stability Analysis
(University of Waterloo, 2008-08-27)The proliferation and universal adoption of the Internet has made it become the key information transport platform of our time. Congestion occurs when resource demands exceed the capacity, which results in poor performance ... -
Invariant manifold theory for impulsive functional differential equations with applications
(University of Waterloo, 2019-07-03)The primary contribution of this thesis is a development of invariant manifold theory for impulsive functional differential equations. We begin with an in-depth analysis of linear systems, immersed in a nonautonomous ... -
Inverse Problems and Self-similarity in Imaging
(University of Waterloo, 2008-08-06)This thesis examines the concept of image self-similarity and provides solutions to various associated inverse problems such as resolution enhancement and missing fractal codes. In general, many real-world inverse ... -
An investigation of the use of gradients in imaging, including best approximation and the Structural Similarity image quality measure
(University of Waterloo, 2023-08-18)The L^2-based mean squared error (MSE) and its variations continue to be the most widely employed metrics in image processing. This is most probably due to the fact that (1) the MSE is simple to compute and (2) it possesses ... -
Investigations into quantum light-matter interactions, their approximations and applications
(University of Waterloo, 2021-01-26)Devoting some thought to the interactions between light and matter quickly conjure a myriad of different possibilities; different models for light and matter, different possible interaction Hamiltonians, different simplifying ... -
Iterated Function Systems with Place-Dependent Probabilities and the Inverse Problem of Measure Approximation Using Moments
(University of Waterloo, 2016-10-25)The study of iterated function systems has close ties with the subject of fractal-based analysis. One important application is the approximation of a target object by the fixed point of a contractive iterated function ...