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- 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
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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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2022-03-10
Xiunan Wang, Hao Wang, Pouria Ramazi, Kyeongah Nah, Mark Lewis
Accurate prediction of the number of daily or weekly confirmed cases of COVID-19 is critical to the control of the pandemic. Existing mechanistic models nicely capture the disease dynamics. However, to forecast the future, they require the transmission rate to be known, limiting their prediction...
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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...
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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...