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Skip to Search Results- 81Mark A. Lewis
- 13Jonathan R. Potts
- 11Hao Wang
- 8Pouria Ramazi
- 6Andrew E. Derocher
- 6Andrew W. Bateman
- 6Animal movement
- 6animal movement
- 5COVID-19
- 5Mathematical ecology
- 5partial differential equations
- 4Integrodifference equations
- 85Biological Sciences, Department of
- 84Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 55Mathematical and Statistical Sciences, Department of
- 55Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 12The NSERC TRIA Network (TRIA-Net)
- 12The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
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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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2015-01-01
Jon Jacobsen, Yu Jin, Mark A. Lewis
To fully understand population persistence in river ecosystems, it is neces- sary to consider the effect of the water flow, which varies tremendously with seasonal fluctuations of water runoff and snow melt. In this paper, we study integrodifference models for growth and dispersal in the presence...
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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
Valeria Giunta, Thomas Hillen, Mark A. Lewis, Jonathan R. Potts
Non-local advection is a key process in a range of biological systems, from cells within individuals to the movement of whole organisms. Consequently, in recent years, there has been increasing attention on modelling non-local advection mathematically. These often take the form of partial...
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2021-06-11
Valeria Giunta, Thomas Hillen, Mark A. Lewis, Jonathan R. Potts
Non-local advection is a key process in a range of biological systems, from cells within individuals to the movement of whole organisms. Consequently, in recent years, there has been increasing attention on modelling non-local advection mathematically. These often take the form of partial...
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2017-10-29
Stephanie J. Peacock, Juliette Bouhours, Mark A. Lewis, P´eter K. Moln´ar
Spatial variability in host density is a key factor affecting disease dynamics of wildlife, and yet there are few spatially explicit models of host-macroparasite dynamics. This limits our understanding of parasitism in migratory hosts, whose densities change considerably in both space and time....
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2019-02-01
Mélodie Kunegel-Lion, Rory L. McIntosh, Mark A. Lewis
Insect epidemics such as the mountain pine beetle (MPB) outbreak have a major impact on forest dynamics. In Cypress Hills, Canada, the Forest Service Branch of the Saskatchewan Ministry of Environment aims to control as many new infested trees as possible by conducting ground-based surveys around...
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2016-03-14
Frédéric M. Hamelin, François Castella, Valentin Doli, Benoît Marçais, Virginie Ravigné, Mark A. Lewis
Sexual reproduction and dispersal are often coupled in organisms mixing sexual and asexual reproduction, such as fungi. The aim of this study is to evaluate the impact of mate limitation on the spreading speed of fungal plant parasites. Starting from a simple model with two coupled partial...