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Skip to Search Results- 13Mark A. Lewis
- 5Andrew W. Bateman
- 5Nathan G. Marculis
- 4Stephanie J. Peacock
- 3Hao Wang
- 2Martin Krkošek
- 13Biological Sciences, Department of
- 13Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 13Mathematical and Statistical Sciences, Department of
- 13Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 5The NSERC TRIA Network (TRIA-Net)
- 5The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
- 3Integrodifference equations
- 2Atlantic salmon
- 2Founder effect
- 2Inside dynamics
- 2Neutral genetic diversity
- 1Allee effect
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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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Estimation of spatiotemporal transmission dynamics and analysis of management scenarios for sea lice of farmed and wild salmon
Download2020-01-01
Stephanie J. Peacock, Martin Krkošek, Andrew W. Bateman, Mark A. Lewis
Parasite transmission between farmed and wild salmon affects the sustainability of salmon aquaculture in Pacific Canada. Understanding and managing parasites in aquaculture is challenged by spatial and temporal variation in transmission dynamics. We developed a mechanistic model that connects sea...
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2019-05-10
Nathan G. Marculis, Jimmy Garnier, · Roger Lui, Mark A. Lewis
A stage-structured model of integrodifference equations is used to study the asymptotic neutral genetic structure of populations undergoing range expansion. That is, we study the inside dynamics of solutions to stage-structured integrodifference equations. To analyze the genetic consequences for...
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2020-01-14
Nathan G. Marculis, Mark A. Lewis
The method of inside dynamics provides a theory that can track the dynamics of neutral gene fractions in spreading populations. However, the role of mutations has so far been absent in the study of the gene flow of neutral fractions via inside dynamics. Using integrodifference equations, we...
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Integrodifference equations in the presence of climate change: persistence criterion, travelling waves and inside dynamics
Download2018-01-01
Mark A. Lewis, Nathan G. Marculis, Zhongwei Shen
To understand the efects that the climate change has on the evolution of species as well as the genetic consequences, we analyze an integrodifference equation (IDE) models for a reproducing and dispersing population in a spatio-temporal heterogeneous environment described by a shifting...
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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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Migratory host vectors can maintain the high-dose refuge effect in a structured host-parasite system: the case of sea lice and salmon Evolutionary Applications
Download2020-04-15
Andrew W. Bateman, Stephanie J. Peacock, Martin Krkošek, Mark A. Lewis
Migration can reduce parasite burdens in migratory hosts, but it connects populations and can drive disease dynamics in domestic species. Farmed salmon are infested by sea louse parasites, often carried by migratory wild salmonids, resulting in a costly problem for industry and risk to wild...
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2020-03-21
Nathan G. Marculis, Maya L. Evenden, Mark A. Lewis
Trade-offs between dispersal and reproduction are known to be important drivers of population dynamics, but their direct influence on the spreading speed of a population is not well understood. Using integrodifference equations, we develop a model that incorporates a dispersal–reproduction...
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2016-01-01
Nathan G. Marculis, Roger Lui, Mark A. Lewis
We investigate the inside dynamics of solutions to integrodifference equations to understand the genetic consequences of a population with nonoverlapping generations undergoing range expansion. To obtain the inside dynamics, we decompose the solution into neutral genetic components. The inside...
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Second-generation stoichiometric mathematical model to predict methane emissions from oil sands tailings
Download2019-07-31
Jude D. Kong, Hao Wang, Tariq Siddique, Julia Foght, Kathleen Semple, Zvonko Burkus, Mark A. Lewis
Microbial metabolism of fugitive hydrocarbons produces greenhouse gas (GHG) emissions from oil sands tailings ponds (OSTP) and end pit lakes (EPL) that retain fluid tailings from surface mining of oil sands ores. Predicting GHG production, particularly methane (CH4), would help oil sands...