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Browsing Applied Mathematics by Type "Preprint"
Now showing items 1-12 of 12
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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 ... -
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 ... -
Estimating the COVID-19 R number: a bargain with the devil?
(Elsevier, 2020-10-22)The basic reproduction number R0 is the average number of infections produced by a single infectious person in a population with no immunity. R0 has a close relative named the effective reproduction number R: the average ... -
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 ... -
On the TVD property of second order methods for 2D scalar conservation laws
(arXiv, 2021-10-05)The total variation diminishing (TVD) property is an important tool for ensuring nonlinear stability and convergence of numerical solutions of one-dimensional scalar conservation laws. However, it proved to be challenging ... -
Optimal Actuator Location for Semi-Linear Systems
(2018)Actuator location and design are important choices in controller design for distributed parameter systems. Semi-linear partial differential equations model a wide spectrum of physical systems with distributed parameters. ... -
Optimal Controller and Actuator Design for Nonlinear Parabolic Systems
(2019-10-08)Many physical systems are modeled by nonlinear parabolic differential equations, such as the Kuramoto-Sivashinsky (KS) equation. In this paper, the existence of a concurrent optimal controller and actuator design is ... -
Parameterizing a dynamic influenza model using longitudinal versus age-stratified case notifications yields different predictions of vaccine impacts
(2018-09-06)Dynamic transmission models of influenza are often used in decision-making to identify which vaccination strategies might best reduce influenza-associated health and economic burdens. Our goal was to use laboratory confirmed ... -
Smooth centre manifolds for impulsive delay differential equations
(Elsevier, 2018-04-16)The existence and smoothness of centre manifolds and a reduction principle are proven for impulsive delay differential equations. Several intermediate results of theoretical interest are developed, including a variation ... -
Three-dimensional simulations of sound propagation in a trumpet with accurate mouthpiece shank geometry
(arXiv, 2016-11-01)The length and bore geometry of musical instruments directly influences the quality of sound that can be produced. In brass instruments, nonlinear effects from finite-amplitude wave propagation can lead to wave distortion ... -
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 ... -
Zero Dynamics for Port-Hamiltonian Systems
(2017-11-19)The zero dynamics of infinite-dimensional systems can be difficult to characterize. The zero dynamics of boundary control systems are particularly problematic. In this paper the zero dynamics of port-Hamiltonian systems ...