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Skip to Search Results- 51Mathematical and Statistical Sciences, Department of
- 51Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 48Biological Sciences, Department of
- 48Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 32The NSERC TRIA Network (TRIA-Net)
- 32The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
- 43Mark A. Lewis
- 5Erbilgin, Nadir
- 5Nathan G. Marculis
- 4Evenden, Maya
- 4Stephanie J. Peacock
- 3Andrew E. Derocher
- 9Dendroctonus ponderosae
- 5Mountain pine beetle
- 4Range expansion
- 4population dynamics
- 3Animal movement
- 3Bark beetle
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2019-05-04
We identify seven-tone (heptatonic) scales as a sequence of minor and major thirds, where we use a zero to indicate a minor third and a one for a major third. Each proper seven-tone scale is then represented by a {0,1}-sequence of length seven. On these {0,1}-sequences we define group operations...
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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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2016-06-13
Vlastimil Kˇrivan, Mark Lewis, Barbara J. Bentz, Sharon Bewick, Suzanne M. Lenhart, Andrew Liebhold
Tree-killing bark beetles are major disturbance agents affecting coniferous forest ecosystems. The role of environmental conditions on driving beetle outbreaks is becoming increasingly important as global climatic change alters environmental factors, such as drought stress, that, in turn, govern...
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A framework for analyzing the robustness of movement models to variable step discretization
Download2016-01-01
Schlägel, Ulrike E, Lewis, Mark A.
When sampling animal movement paths, the frequency at which location measurements are attempted is a critical feature for data analysis. Important quantities derived from raw data, e.g. travel distance or sinuosity, can differ largely based on the temporal resolution of the data. Likewise, when...
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A general theory for target reproduction numbers with applications to ecology and epidemiology
Download2019-01-01
Mark A. Lewis, Zhisheng Shuai, P. van den Driessche
A general framework for threshold parameters in population dynamics is developed using the concept of target reproduction numbers. This framework identies reproduction numbers and other threshold parameters in the literature in terms of their roles in population control. The framework is applied...
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A generalized residual technique for analysing complex movement models using earth mover's distance.
Download2014-10-01
Potts, Jonathan R, Marie Auger-M´eth´e, Karl Mokross, Mark A. Lewis
Complex systems of moving and interacting objects are ubiquitous in the natural and social sciences. Predicting their behaviour often requires models that mimic these systems with sufficient accuracy, while accounting for their inherent stochasticity. Although tools exist to determine which of a...
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2014
Wu, B., Newton, F., Kouritzin, Michael A.
A new class of discrete random fields designed for quick simulation and covariance inference under inhomogenous conditions is introduced and studied. Simulation of these correlated fields can be done in a single pass instead of relying on multi-pass convergent methods like the Gibbs Sampler or...
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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...
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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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2020-01-14
Peter D. Harrington, Mark A. Lewis
In marine systems, adult populations confined to isolated habitat patches can be connected by larval dispersal. Source–sink theory provides effective tools to quantify the effect of specific habitat patches on the dynamics of connected populations. In this paper, we construct the next-generation...