Applied Mathematics
This is the collection for the University of Waterloo's Department of Applied Mathematics .
Research outputs are organized by type (eg. Master Thesis, Article, Conference Paper).
Waterloo faculty, students, and staff can contact us or visit the UWSpace guide to learn more about depositing their research.
Recent deposits
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On the optimal CFL number of SSP methods for hyperbolic problems
(Elsevier, 2019-01-01)We show that the theory for strong stability preserving (SSP) time stepping methods employed with the method of lines-type discretizations of hyperbolic conservation laws may result in overly stringent time step restrictions. ... -
On fixed points of self maps of the free ball
(Elsevier, 2018-07-01)In this paper, we study the structure of the fixed point sets of noncommutative self maps of the free ball. We show that for such a map that fixes the origin the fixed point set on every level is the intersection of the ... -
Convergence of socio-ecological dynamics in disparate ecological systems under strong coupling to human social systems
(2018-04-06)It is widely recognized that coupled socio-ecological dynamics can be qualitatively different from the dynamics of social or ecological systems in isolation from one another. The influence of the type of ecological dynamics ... -
Revising Ecological Assumptions About Human Papillomavirus Interactions And Type Replacement
(Elsevier, 2014-06-07)The controversy over whether vaccine-targeted HPV types will be replaced by other oncogenic, non-vaccine-targeted types remains unresolved. This is in part because little is known about the ecology of HPV types. Patient ... -
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 ... -
Could The Human Papillomavirus Vaccines Drive Virulence Evolution?
(Royal Society, The, 2015-01-07)The human papillomavirus (HPV) vaccines hold great promise for preventing several cancers caused by HPV infections. Yet little attention has been given to whether HPV could respond evolutionarily to the new selection ... -
Role Of Word-Of-Mouth For Programs Of Voluntary Vaccination: A Game-Theoretic Approach
(Elsevier, 2015-11-01)We propose a model describing the synergetic feedback between word-of-mouth (WoM) and epidemic dynamics controlled by voluntary vaccination. The key feature consists in combining a game-theoretic model for the spread of ... -
Coupling Fishery Dynamics, Human Health And Social Learning In A Model Of Fish-Borne Pollution Exposure
(Springer, 2016-03-01)Pollution-induced illnesses are caused by toxicants that result from human activity and are often entirely preventable. However, where industrial priorities have undermined responsible governance, exposed populations must ... -
The Impacts Of Simultaneous Disease Intervention Decisions On Epidemic Outcomes
(Elsevier, 2016-04-21)Mathematical models of the interplay between disease dynamics and human behavioural dynamics can improve our understanding of how diseases spread when individuals adapt their behaviour in response to an epidemic. Accounting ... -
Statistical Physics Of Vaccination
(Elsevier, 2016-12-09)Historically, infectious diseases caused considerable damage to human societies, and they continue to do so today. To help reduce their impact, mathematical models of disease transmission have been studied to help understand ... -
Competition Between Injunctive Social Norms And Conservation Priorities Gives Rise To Complex Dynamics In A Model Of Forest Growth And Opinion Dynamics
(Elsevier, 2017-11-07)Human and environmental systems are often treated as existing in isolation from one another, whereas in fact they are often two parts of a single, coupled human-environment system. Developing theoretical models of coupled ... -
Coevolution Of Risk Perception, Sexual Behaviour, And Hiv Transmission In An Agent-Based Model
(Elsevier, 2013-11-21)Risk perception shapes individual behaviour, and is in turn shaped by the consequences of that behaviour. Here we explore this dynamics in the context of human immunodeficiency virus (HIV) spread. We construct a simplified ... -
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, ... -
An Antibiotic Protocol To Minimize Emergence Of Drug-Resistant Tuberculosis
(Elsevier, 2014-04-15)A within-host model of the spread of tuberculosis is proposed here where the emergence of drug resistance and bacterial dormancy are simultaneously combined. We consider both sensitive and resistant strains of tuberculosis ... -
Spatially-Implicit Modelling Of Disease-Behaviour Interactions In The Context Of Non-Pharmaceutical Interventions
(American Institute of Mathematical Sciences, 2018-04-01)Pair approximation models have been used to study the spread of infectious diseases in spatially distributed host populations, and to explore disease control strategies such as vaccination and case isolation. Here we ... -
Sparse Identification of Epidemiological Models from Empirical Data
(University of Waterloo, 2018-09-20)Current modelling practices in mathematical epidemiology are predicated on mechanisms stemming from theoretical assumptions, such as mass action incidence. Deterministic disease models can describe many patterns observed ... -
Quasi-Hopf Symmetry in Loop Quantum Gravity with Cosmological constant and Spinfoams with timelike surfaces
(University of Waterloo, 2018-09-20)In this thesis we study two separate problems concerning improvements to the Loop quantum gravity and spinfoam approach to quantum gravity. In the first part we address the question about the origin of quantum group ... -
Kinodynamic Planning with μ-Calculus Specifications
(University of Waterloo, 2018-09-19)Motion planning problems involve determining appropriate control inputs to guide a system towards a desired endpoint. Sampling-based motion planning was developed as a technique for discretizing the state space of systems ... -
Quantum Indefinite Spacetime: Part II
(University of Waterloo, 2018-09-10)We adopt an operational mode of thinking to study spacetime fluctuations and their impacts on questions of quantum gravity. Particular emphasis is put on studying causal structure fluctuations. The study is guided by the ...
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