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Research Publications (Mathematical and Statistical Sciences)
Items in this Collection
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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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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...