Research Publications (Mathematical and Statistical Sciences)

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...

2015-01-01

Esteban M. Paolucci, Marco R. Hernandez, Alexei Potapov, Mark A. Lewis, Hugh J. MacIsaac

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...

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...

2018-01-01

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...

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...

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...

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....

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...

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...