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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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2019-01-01
Fazly, Mostafa, Lewis, Mark A, Wang, Hao
We study a hybrid impulsive reaction-advection-diffusion model given by a reaction-advection-diffusion equation composed with a discrete-time map in space dimension $n\in\mathbb N$. The reaction-advection-diffusion equation takes the form \begin{equation}\label{} u^{(m)}_t = \text{div}(A\nabla...
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Factors influencing dispersal by flight in bark beetles (Coleoptera: Curculionidae Scolytinae): from genes to landscapes.
Download2019-01-01
Jones, Kelsey L., Shegelski, Victor A., Marcelis, Nathan G., Wijerathna, Asha N., Evenden, Maya L.
Dispersal by flight is obligatory for bark beetles in the subfamily Scolytinae. Adult bark beetles must leave the natal host and fly to seek new hosts for brood production. Because of the eruptive nature of some bark beetle populations, dispersal capacity has implications for beetle spread and...
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2016-01-01
Jonathan R. Potts, Mark A. Lewis
Mechanistic home range analysis (MHRA) is a highly effective tool for understanding spacing patterns of animal populations. It has hitherto focused on populations where animals defend their territories by communicating indirectly, e.g. via scent marks. However, many animal populations defend...
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2016-01-01
Maya L. Groner, Luke A. Rogers, Andrew W. Bateman, Brendan M. Connors, L. Neil Frazer, Sean C. Godwin, Martin Krkosˇek, Mark A. Lewis, Stephanie J. Peacock, Erin E. Rees, Crawford W. Revie, Ulrike E. Schla¨gel
Effective disease management can benefit from mathematical models that identify drivers of epidemiological change and guide decision-making. This is well illustrated in the host–parasite system of sea lice and salmon, which has been modelled extensively due to the economic costs associated...
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2021-01-01
Shegelski, Victor A., Campbell, Erin O., Thompson, Kirsten M., Whitehouse, Caroline M., Sperling, Felix A. H.
The mountain pine beetle (Dendroctonus ponderosae Hopkins) (Coleoptera: Curculionidae) is a significant destructive force in the pine forests of western Canada and has the capacity to spread east into a novel host tree species, jack pine (Pinaceae). New populations have been documented in central...
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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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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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2017-01-01
QIHUA HUANG, HAO WANG, MARK A. LEWIS
While some species spread upstream in river environments, not all invasive species are successful in spreading upriver. Here the dynamics of unidirectional water flow found in rivers can play a role in determining invasion success. We develop a continuous-discrete hybrid benthic-drift population...
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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...