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Skip to Search Results- 48Lewis, Mark A.
- 6Krkošek, Martin
- 4Derocher, Andrew E.
- 4Lutscher, F.
- 4Peacock, Stephanie J.
- 3Bateman, Andrew W.
- 48Biological Sciences, Department of
- 48Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 48Mathematical and Statistical Sciences, Department of
- 48Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 1The NSERC TRIA Network (TRIA-Net)
- 1The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
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2002-01-01
Lewis, Mark A., Bingtuan Li, Hans F. Weinberger
One crucial measure of a species' invasiveness is the rate at which it spreads into a competitor's environment. A heuristic spread rate formula for a spatially explicit, two-species competition model relies on `linear determinacy' which equates spread rate in the full nonlinear model with spread...
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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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2002-01-01
Lewis, Mark A., Weinberger, H.F., Li, B.T.
The discrete-time recursion system \un+1=Q[\un] with \un(x) a vector of population distributions of species and Q an operator which models the growth, interaction, and migration of the species is considered. Previously known results are extended so that one can treat the local invasion of an...
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2001-01-01
Holt, R. D., Lewis, Mark A., Keitt, T. H.
All species’ ranges are the result of successful past invasions. Thus, models of species’ invasions and their failure can provide insight into the formation of a species’ geographic range. Here, we study the properties of invasion models when a species cannot persist below a critical population...
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2001-01-01
Lewis, Mark A., Owen, Markus R.
High-frequency ventilation isa radical departure from conventional lung ventilation, with frequenciesgreater than 2Hz, and volumesp er breath much smaller than the anatomical deadspace. Its use has been shown to benefit premature infants and patients with severe respiratory distress, but a vital...
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2001-01-01
Clark, James S., Lewis, Mark A., Horvath, Lajos
For populations having dispersal described by fat‐tailed kernels (kernels with tails that are not exponentially bounded), asymptotic population spread rates cannot be estimated by traditional models because these models predict continually accelerating (asymptotically infinite) invasion. The...
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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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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...