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- 7Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 3Graduate and Postdoctoral Studies (GPS), Faculty of
- 3Graduate and Postdoctoral Studies (GPS), Faculty of /Theses and Dissertations
- 3Mathematical and Statistical Sciences, Department of
- 3Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
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A mechanistic model for understanding invasions: using the environment as a predictor of population success
Download2011-01-01
DiBacco, C., Lewis, Mark A., Strasser, C. A.
Aim We set out to develop a temperature-and salinity-dependent mechanistic population model for copepods that can be used to understand the role of environmental parameters in population growth or decline. Models are an important tool for understanding the dynamics of invasive species; our model...
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2008-01-01
Potapov, A. B., Lewis, Mark A.
We consider the model of invasion prevention in a system of lakes that are connected via traffic of recreational boats. It is shown that, in presence of an Allee effect, the general optimal control problem can be reduced to a significantly simpler stationary optimization problem of optimal...
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Spring 2012
Since the late 1970s, the design of chemical processes has evolved towards highly integrated operations that can increase plant efficiency. Although plant-wide integration offers substantial opportunities to improve the performance of an entire plant, it often results in large-scale systems that...
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1996-01-01
Mark Kot, Mark A. Lewis, P. van den Driessch
Models that describe the spread of invading organisms often assume that the dispersal distances of propagules are normally distributed. In contrast, measured dispersal curves are typically leptokurtic, not normal. In this paper, we consider a class of models, integrodifference equations, that...
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Fall 2019
Modern residential buildings are complex cyber-physical systems housing energy systems with numerous sensors and actuators. In recent years, the falling costs of battery storage and photovoltaic systems have substantially increased the number of “solar-plus-battery” installations in these...
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Minimizing invasion risk by reducing propagule pressure: a model for ballast-water exchange
Download2005-01-01
Lewis, Mark A., Wonham, Marjorie J., MacIsaac, Hugh J.
Biological invasions are a major and increasing agent of global biodiversity change. Theory and practice indicate that invasion risk can be diminished by reducing propagule pressure, or the quantity, quality, and frequency of introduced individuals. For aquatic invasions, the primary global...
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Fall 2017
This thesis investigates the optimal control of two nonholonomic mechanical systems, Suslov's problem and the rolling ball. Suslov's problem is a nonholonomic variation of the classical rotating free rigid body problem, in which the body angular velocity must always be orthogonal to a prescribed,...
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2007
Lewis, M. A., Finnoff, D., Potapov, A.
A metapopulation model for alien species invasion of a lake network is coupled with an economic model of prevention. The model restates a stochastic problem in deterministic terms. It provides a macroscopic description of the lake network with prevention methods controlling both the outflow of...
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2011
Lewis, M. A., Muirhead, J. R., MacIsaac, H. J.
Aim Predictions of spread of non-indigenous species allow for greater efficiency in managing invasions by targeting areas for preventative measures. The invasion sequence is a useful concept in predictions of spread, as it allows us to test hypotheses about the transport and establishment of...
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2011
Lewis, M. A., Muirhead, J. R., Potapov, A., Lele, S. R.
Freshwater aquatic systems in North America are being invaded by many different species, ranging from fish, mollusks, cladocerans to various bacteria and viruses. These invasions have serious ecological and economic impacts. Human activities such as recreational boating are an important pathway...