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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Stochastic Effects and Fractal Kinetics in the Pharmacokinetics of Drug Transport
(University of Waterloo, 2018-05-16)Pharmacokinetics (PK) attempts to model the progression and time evolution of a drug in the human body from administration to the elimination stage. It is the primary quantitative approach used in drug discovery/development ... -
Comparing malaria surveillance with periodic spraying in the presence of insecticide-resistant mosquitoes: Should we spray regularly or based on human infections?
(Elsevier, 2016-06-01)There is an urgent need for more understanding of the effects of surveillance on malaria control. Indoor residual spraying has had beneficial effects on global malaria reduction, but resistance to the insecticide poses a ... -
Continuous approximation of linear impulsive systems and a new form of robust stability
(Elsevier, 2018-01-01)The time-scale tolerance for linear ordinary impulsive differential equations is introduced. How large the time-scale tolerance is directly reflects the degree to which the qualitative dynamics of the linear impulsive ... -
Bifurcation of Bounded Solutions of Impulsive Differential Equations
(World Scientific Publishing, 2016-12-30)In this article, we examine nonautonomous bifurcation patterns in nonlinear systems of impulsive differential equations. The approach is based on Lyapunov–Schmidt reduction applied to the linearization of a particular ... -
Explicit Runge-Kutta time-stepping with the discontinuous Galerkin method
(University of Waterloo, 2018-04-20)In this thesis, the discontinuous Galerkin method is used to solve the hyperbolic equations. The DG method discretizes a system into a semi-discrete system and a system of ODEs is obtained. To solve this system of ODEs ... -
The Impact Of Aggregating Serogroups In Dynamic Models Of Neisseria Meningitidis Transmission
(BioMed Central, 2015-07-30)Background: Neisseria meningitidis (Nm) is a pathogen of multiple serogroups that is highly prevalent in many populations. Serogroups associated with invasive meningococcal disease (IMD) in Canada, for example, include A, ... -
Disease Dynamics And Costly Punishment Can Foster Socially Imposed Monogamy
(Nature Publishing Group, 2016-04-01)Socially imposed monogamy in humans is an evolutionary puzzle because it requires costly punishment by those who impose the norm. Moreover, most societies were-and are-polygynous; yet many larger human societies transitioned ... -
Sexual Behavior, Risk Perception, And Hiv Transmission Can Respond To Hiv Antiviral Drugs And Vaccines Through Multiple Pathways
(Nature Publishing Group, 2015-10-28)There has been growing use of highly active antiretroviral treatment (HAART) for HIV and significant progress in developing prophylactic HIV vaccines. The simplest theories of counterproductive behavioral responses to such ... -
Cost-Effectiveness Evaluation Of Quadrivalent Influenza Vaccines For Seasonal Influenza Prevention: A Dynamic Modeling Study Of Canada And The United Kingdom
(BioMed Central, 2015-10-27)Background: The adoption of quadrivalent influenza vaccine (QIV) to replace trivalent influenza vaccine (TIV) in immunization programs is growing worldwide, thus helping to address the problem of influenza B lineage mismatch. ... -
Coupled Human-Environment Dynamics Of Forest Pest Spread And Control In A Multi-Patch, Stochastic Setting
(Public Library of Science, 2015-10-02)Background The transportation of camp firewood infested by non-native forest pests such as Asian long-horned beetle (ALB) and emerald ash borer (EAB) has severe impacts on North American forests. Once invasive forest pests ... -
Evaluation Of Serogroup C And Acwy Meningococcal Vaccine Programs: Projected Impact On Disease Burden According To A Stochastic Two-Strain Dynamic Model
(Elsevier, 2015-01-01)Objective: Advisory committees in Canada and the United States have updated recommendations for quadrivalent meningococcal conjugate vaccines against serogroups A, C, W135, and Y. Our objective was to evaluate optimally ... -
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 ... -
Critical Dynamics In Population Vaccinating Behavior
(National Academy of Sciences, 2017-12-26)Vaccine refusal can lead to renewed outbreaks of previously eliminated diseases and even delay global eradication. Vaccinating decisions exemplify a complex, coupled system where vaccinating behavior and disease dynamics ... -
Emergence and spread of drug resistant influenza: A two-population game theoretical model
(Elsevier, 2016-10-01)Background The potential for emergence of antiviral drug resistance during influenza pandemics has raised great concern for public health. Widespread use of antiviral drugs is a significant factor in producing resistant ... -
Landowner Perceptions Of The Value Of Natural Forest And Natural Grassland In A Mosaic Ecosystem In Southern Brazil
(Springer, 2016-03-01)The forest-grassland mosaics of southern Brazil have been subject to many land use and policy changes over the decades. Like many grasslands around the world, the Campos grasslands are declining with few conservation efforts ... -
Truncation selection and diffusion on random graphs
(Arxiv, 2017-08-31)Two-strategy evolutionary games on graphs have been extensively studied in the literature. A variety of graph structures, degrees of graph dynamics, and behaviours of replicators have been explored. These models have ... -
Global Land Use Implications of Dietary Trends: A Tragedy of the Commons
(Cold Spring Harbor Laboratory, 2017-09-28)Global food security and agricultural land management represent two urgent and intimately related challenges that humans must face in the coming decades. Here, we quantify the changes in the global agricultural land footprint ... -
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 ... -
Strategic Interactions in Antiviral Drug Use During an Influenza Pandemic
(Public Library of Science, 2017-01-12)Background: The evolution of antiviral drug resistance during influenza pandemics has created widespread concern. Use of antiviral drugs is a main contributor to the evolution of drug-resistant strains. Moreover, there are ... -
Policy Resistance Undermines Superspreader Vaccination Strategies For Influenza
(Public Library of Science, 2013-03-01)Theoretical models of infection spread on networks predict that targeting vaccination at individuals with a very large number of contacts (superspreaders) can reduce infection incidence by a significant margin. These models ...
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