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- 78Mathematical and Statistical Sciences, Department of
- 78Mathematical 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)
- 45Lewis, Mark A.
- 14Mark A. Lewis
- 13Kouritzin, Michael
- 6Krkošek, Martin
- 4Derocher, Andrew E.
- 4Jonathan R. Potts
Dispersal, Population Growth, and the Allee Effect: Dynamics of the House Finch Invasion of Eastern North AmericaDownload
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...
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...
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...
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...
Empirical estimation of R0 for unknown transmission functions: The case of chronic wasting disease in AlbertaDownload
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...
Estimation of spatiotemporal transmission dynamics and analysis of management scenarios for sea lice of farmed and wild salmonDownload
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...
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...
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...
Territory formation is ubiquitous throughout the animal kingdom. At the individual level, various behaviours attempt to exclude conspecifics from regions of space. At the population level, animals often segregate into distinct territorial areas. Consequently, it should be possible to derive...
Observations on Mount St Helens indicate that the spread of recolonizing lupin plants has been slowed due to the presence of insect herbivores and it is possible that the spread of lupins could be reversed in the future by intense insect herbivory [Fagan, W. F. and J. Bishop (2000). Trophic...