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Skip to Search Results- 149Mathematical and Statistical Sciences, Department of
- 149Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 147Biological Sciences, Department of
- 147Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 102The NSERC TRIA Network (TRIA-Net)
- 102The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
- 57Mark A. Lewis
- 49Lewis, Mark A.
- 31Kouritzin, Michael
- 15Keeling, Christopher I.
- 12Bohlmann, Jörg
- 11Erbilgin, Nadir
- 16Mountain pine beetle
- 12Dendroctonus ponderosae
- 12Dispersal
- 9Range expansion
- 8Non-linear filtering
- 8Particle filters
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A hybrid gravity and route choice model to assess vector traffic in large-scale road networks
Download2020-01-01
S. M. Fischer, M. Beck, L.-M. Herborg, M. A. Lewis
Human traffic along roads can be a major vector for infectious diseases and invasive species. Though most road traffic is local, a small number of long-distance trips can suffice to move an invasion or disease front forward. Therefore, understanding how many agents travel over long distances and...
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2003
Ballantyne, David, Wiersma, Jonathan, Kouritzin, Michael, Hailes, Jarett, Long, Hongwei
A hybrid weighted interacting particle filter, the selectively resampling particle filter (SERP), is used to detect and track multiple ships maneuvering in a region of water. The ship trajectories exhibit nonlinear dynamics and interact in a nonlinear manner such that the ships do not collide....
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A law of the iterated logarithm for stochastic processes defined by differential equations with a small parameter
Download1994
Heunis, A.J., Kouritzin, Michael
Consider the following random ordinary differential equation: X˙ϵ(τ)=F(Xϵ(τ),τ/ϵ,ω)subject toXϵ(0)=x0, where {F(x,t,ω),t≥0} are stochastic processes indexed by x in Rd, and the dependence on x is sufficiently regular to ensure that the equation has a unique solution Xϵ(τ,ω) over the interval...
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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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A mechanistic model for understanding invasions: using the environment as a predictor of population success
Download2011-01-01
DiBacco, C., Lewis, Mark A., Strasser, C. A.
Aim We set out to develop a temperature-and salinity-dependent mechanistic population model for copepods that can be used to understand the role of environmental parameters in population growth or decline. Models are an important tool for understanding the dynamics of invasive species; our model...
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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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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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A novel application of RNase H2-dependent quantitative PCR for detection and quantification of Grosmannia clavigera, a mountain pine beetle fungal symbiont, in environmental samples
Download2018-01-01
McAllister, Chandra H., Fortier, Colleen E., St Onge, Kate R., Sacchi, Bianca M., Nawrot, Meaghan J., Locke, Troy, Cooke, Janice EK
Mountain pine beetle (Dendroctonus ponderosae Hopkins; MPB) is an economically and ecologically important pest of pine species in western North America. Mountain pine beetles form complex multipartite relationships with microbial partners, including the ophiostomoid fungi Grosmannia clavigera...
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2000
Ballantyne, David, Chan, Hubert, Kouritzin, Michael
Particle approximations are used to track a maneuvering signal given only a noisy, corrupted sequence of observations, as are encountered in target tracking and surveillance. The signal exhibits nonlinearities that preclude the optimal use of a Kalman filter. It obeys a stochastic differential...