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Skip to Search Results- 91Mathematical and Statistical Sciences, Department of
- 91Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 63Biological Sciences, Department of
- 63Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 3The NSERC TRIA Network (TRIA-Net)
- 3The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
- 48Lewis, Mark A.
- 14Mark A. Lewis
- 14Wang, Hao
- 13Kouritzin, Michael
- 6Krkošek, Martin
- 4Derocher, Andrew E.
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Migratory host vectors can maintain the high-dose refuge effect in a structured host-parasite system: the case of sea lice and salmon Evolutionary Applications
Download2020-04-15
Andrew W. Bateman, Stephanie J. Peacock, Martin Krkošek, Mark A. Lewis
Migration can reduce parasite burdens in migratory hosts, but it connects populations and can drive disease dynamics in domestic species. Farmed salmon are infested by sea louse parasites, often carried by migratory wild salmonids, resulting in a costly problem for industry and risk to wild...
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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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Modeling group formation and activity patterns in self-organizing collectives of individuals
Download2007-01-01
Eftimie, R., Lewis, Mark A., Lutscher, F., de Vries, G.
We construct and analyze a nonlocal continuum model for group formation with application to self-organizing collectives of animals in homogeneous environments. The model consists of a hyperbolic system of conservation laws, describing individual movement as a correlated random walk. The turning...
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2002-01-01
MacIsaac, H.J., Lewis, Mark A., Robbins, T.C.
The spread of nonindigenous species in aquatic ecosystems provides an opportunity to develop new perspectives on the invasion process. In this paper we review existing invasion models, most of which were developed to describe invasions of terrestrial habitats, and propose an alternative that...
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2024-02-26
Liu, Guodong, Wang, Hao, Zhang, Xiaoyan
Abstract (description taken from article) Fick’s law and the Fokker–Planck law of diffusion are applied to manifest the cognitive dispersal of individuals in two reaction-diffusion SEIR epidemic models, where the disease transmission is illustrated by nonlocal infection mechanisms in...
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2008
In this paper, we give a direct derivation of the Duncan–Mortensen–Zakai filtering equation, without assuming right continuity of the signal, nor its filtration, and without the usual finite energy condition. As a consequence, the Fujisaki–Kallianpur–Kunita equation is also derived. Our results...
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2013
Kouritzin, Michael, Wu, B., Newton, F.
Herein, we propose generating CAPTCHAs through random field simulation and give a novel, effective and efficient algorithm to do so. Indeed, we demonstrate that sufficient information about word tests for easy human recognition is contained in the site marginal probabilities and the...
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2024-03-21
Shen, Anglu, Gao, Shufei, Jiang, Jie, Hu, Qingjing, Wang, Hao, Yuan, Sanling
Abstract from Author: "Elucidating the mechanism of effect of phosphate (PO43−) uptake on the growth of algal cells helps understand the frequent outbreaks of algal blooms caused by eutrophication. In this study, we develop a comprehensive mathematical model that incorporates two stages of PO43−...
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2015-01-01
Peacock, Stephanie J., Krkošek, Martin, Bateman, Andrew W., Lewis, Mark A.
There is an increasing realization of the diverse mechanisms by which parasites and pathogens influence the dynamics of host populations and communities. In multi‐host systems, parasites may mediate food web dynamics with unexpected outcomes for host populations. Models have been used to explore...