Search
Skip to Search Results- 68Biological Sciences, Department of
- 66Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 46Mathematical and Statistical Sciences, Department of
- 46Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 11The NSERC TRIA Network (TRIA-Net)
- 11The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
- 6animal movement
- 4Animal movement
- 4population dynamics
- 3Advection-diffusion
- 3Integrodifference equations
- 3Machine learning
-
2000-09-01
Hughes, WR, Kibukawa, M, Wong, GKS, Kruglyak, L, Eberle, MA, Yang, ZY, Passey, DA, Yu, J
-
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...
-
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...
-
2010-01-01
MARK A. LEWIS, WILLIAM NELSON, CAILIN XU
A vigor-structured model for mountain pine beetle outbreak dy- namics within a forest stand is proposed and analyzed. This model explicitly tracks the changing vigor structure in the stand. All model parameters, other than beetle vigor preference, were determined by tting model components to...
-
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...
-
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...
-
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...
-
2014-01-01
Jonathan R. Potts, Mark A. Lewis
Territorial behaviour is widespread in the animal kingdom, with creatures seeking to gain parts of space for their exclusive use. It arises through a complicated interplay of many different behavioural features. Extracting and quantifying the processes that give rise to territorial patterns...