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Skip to Search Results- 55Mark A. Lewis
- 7Jonathan R. Potts
- 6Stephanie J. Peacock
- 5Andrew W. Bateman
- 5Nathan G. Marculis
- 5Qihua Huang
- 55Biological Sciences, Department of
- 55Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 55Mathematical and Statistical Sciences, Department of
- 55Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 10The NSERC TRIA Network (TRIA-Net)
- 10The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
- 4Animal movement
- 3Integrodifference equations
- 3Ursus maritimus
- 3net reproductive rate
- 3persistence
- 3population dynamics
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2002-01-01
Hans F. Weinberger, Mark A. Lewis, Bingtuan Li
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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2005-01-01
Frithjof Lutscher, Elizaveta Pachepsky, Mark A. Lewis
Individuals in streams are constantly subject to predominantly unidirectional flow. The question of how these populations can persist in upper stream reaches is known as the “drift paradox.” We employ a general mechanistic movement-model framework and derive dispersal kernels for this situation....
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2006-01-01
Chad M. Topaz, Andrea L. Bertozzi, Mark A. Lewis
We construct a continuum model for biological aggregations in which individuals experience long-range social attraction and short range dispersal. For the case of one spatial dimension, we study the steady states analytically and numerically. There exist strongly nonlinear states with compact...
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2009-12-22
Frédéric M. Hamelin, Mark A. Lewis
In this paper, elements of differential game theory are used to analyze a spatially explicit home range model for interactingwolf packs when movement behavior is uncertain. The model consists of a system of partial differential equations whose parameters reflect the movement behavior of...
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Spreading Speed, Traveling Waves, and Minimal Domain Size in Impulsive Reaction-di®usion Models
Download2012-01-01
How growth, mortality, and dispersal in a species affect the species' spread and persistence constitutes a central problem in spatial ecology. We propose impulsive reaction-diffusion equation models for species with distinct repro- ductive and dispersal stages. These models can describe a...
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2013-01-01
Qihua Huang, Laura Parshotam, Hao Wang, Caroline Bampfylde, Mark A. Lewis
Mathematical models have been widely applied to perform chemical risk assessments on biological populations for a variety of ecotoxicological pro- cesses. In this paper, by introducing a dose-dependent mortality rate function, we formulate a toxin-dependent aquatic population model that...
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2013-01-01
William F. Fagan, Mark A. Lewis, Marie Auger-Meth, Tal Avgar, Simon Benhamou, Greg Breed, Lara LaDage, Ulrike E. Schl€agel, Wen-wu Tang, Yannis P. Papastamatiou, James Forester, Thomas Mueller
Memory is critical to understanding animal movement but has proven challenging to study. Advances in animal tracking technology, theoretical movement models and cognitive sciences have facilitated research in each of these fields, but also created a need for synthetic examination of the linkages...
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2014-01-01
Yu Jin, Frank M. Hilker, Peter M. Stefer, Mark A. Lewis
A key problem in environmental flow assessment is the explicit linking of the flow regime with ecological dynamics. We present a hybrid modeling approach to couple hydrodynamic and biological processes, focusing on the combined impact of spatial heterogeneity and temporal variability on...
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2014-01-01
Alex Potapov, Ulrike E. Schlagel, Mark A. Lewis
We use an evolutionary approach to find “most appropriate” dispersal models for ecological applications. From a random walk with locally or nonlocally defined transition probabilities we derive a family of diffusion equations. We assume a monotonic dependence of its diffusion coefficient on...