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Skip to Search Results- 87Mathematical and Statistical Sciences, Department of
- 87Mathematical 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)
- 47Lewis, Mark A.
- 14Mark A. Lewis
- 13Kouritzin, Michael
- 10Wang, Hao
- 6Krkošek, Martin
- 4Derocher, Andrew E.
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2020-02-01
Melodie Kunegel-Lion, Rory L. McIntosh, Mark A. Lewis
The data presented in this article are related to the research article entitled “Mountain pine beetle outbreak duration and pine mortality depend on direct control effort” [1]. This article provides presence of mountain pine beetle infested trees detected by the Saskatchewan Forest Service on a...
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Dispersal, Population Growth, and the Allee Effect: Dynamics of the House Finch Invasion of Eastern North America
Download1996-01-01
Since about 1940, when they were first released in the new York City area, house finches (Carpodacus mexicanus) have multiplied explosively and colonized much of eastern North America. We take advantage of the richly detailed documentation of this biological invasion to construct a mathematical...
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2018-10-23
The dynamics of a fully nonlinear, tree-structured resonator and its response to a broadband forcing of the branches is examined. It is shown that the broadband forcing yields a transfer of energy between the parts of the spectrum so that the spectrum becomes progressively more narrow-band for...
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1995-01-01
Sherratt, J. A., Lewis, Mark A., Fowler, A. C.
Irregularities in observed population densities have traditionally been attributed to discretization of the underlying dynamics. We propose an alternative explanation by demonstrating the evolution of spatiotemporal chaos in reaction-diffusion models for predator-prey interactions. The chaos is...
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2006-01-01
McCauley, E., Lewis, Mark A., Lutscher, F.
The question how aquatic populations persist in rivers when individuals are constantly lost due to downstream drift has been termed the “drift paradox.” Recent modeling approaches have revealed diffusion-mediated persistence as a solution. We study logistically growing populations with and...
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Empirical estimation of R0 for unknown transmission functions: The case of chronic wasting disease in Alberta
Download2015-01-01
Potapov, Alex, Merrill, Evelyn, Pybus, Margo, Lewis, Mark A.
We consider the problem of estimating the basic reproduction number R0 from data on prevalence dynamics at the beginning of a disease outbreak. We derive discrete and continuous time models, some coefficients of which are to be fitted from data. We show that prevalence of the disease is...
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Estimation of spatiotemporal transmission dynamics and analysis of management scenarios for sea lice of farmed and wild salmon
Download2020-01-01
Stephanie J. Peacock, Martin Krkošek, Andrew W. Bateman, Mark A. Lewis
Parasite transmission between farmed and wild salmon affects the sustainability of salmon aquaculture in Pacific Canada. Understanding and managing parasites in aquaculture is challenged by spatial and temporal variation in transmission dynamics. We developed a mechanistic model that connects sea...
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2015-01-01
Bateman, Andrew W., Neubert, Michael G., Krkošek, Martin, Lewis, Mark A.
Some of the most fundamental quantities in population ecology describe the growth and spread of populations. Population dynamics are often characterized by the annual rate of increase, λ, or the generational rate of increase, R0. Analyses involving R0 have deepened our understanding of disease...
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Global analysis of an age-structured tuberculosis model with an application to Jiangsu, China
Download2024-04-02
Jing, Shuanglin, Xue, Ling, Wang, Hao, Peng, Zhihang
Abstract (taken from the article) Diagnostic delay for TB infected individuals and the lack of TB vaccines for adults are the main challenges to achieve the goals of WHO by 2050. In order to evaluate the impacts of diagnostic delay and vaccination for adults on prevalence of TB, we propose an...
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2016-01-01
Marie Auger-Méthé, Mark A. Lewis, Andrew E. Derocher
Home range size estimates are often used to assess the amount of space required for animals to perform the activities essential for their survival and reproduction. However, in moving environments, traditional home range estimates may be ill suited to this task. In particular, traditional home...