Research Publications (Mathematical and Statistical Sciences)

2014

Sadeghi, S., Kouritzin, Michael

2004

Kouritzin, Michael, Long, H., Sun, W.

Herein, we consider direct Markov chain approximations to the Duncan–Mortensen–Zakai equations for nonlinear filtering problems on regular, bounded domains. For clarity of presentation, we restrict our attention to reflecting diffusion signals with symmetrizable generators. Our Markov chains are...

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...

2025-01-05

Volker Runde and John C. Bowman

The complex number system. Analytic functions. Cauchy's integral theorem and formula. Applications including the maximum modulus principle, Taylor expansion and Laurent expansion. Harmonic functions. The residue theorem with applications: the calculus of residues, the argument principle,...

2019-01-01

Jody R. Reimer, Marc Mangel, Andrew E. Derocher, Mark A. Lewis

Organisms are constantly making tradeoffs. These tradeoffs may be behavioural (e.g., whether to focus on foraging or predator avoidance) or physiological (e.g., whether to allocate energy to reproduction or growth). Similarly, wildlife and fisheries managers must make tradeoffs while striving for...

2020-04-15

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...

2005-01-01

Lewis, Mark A., Wonham, Marjorie J., MacIsaac, Hugh J.

Biological invasions are a major and increasing agent of global biodiversity change. Theory and practice indicate that invasion risk can be diminished by reducing propagule pressure, or the quantity, quality, and frequency of introduced individuals. For aquatic invasions, the primary global...

2007-01-01

Eftimie, R., Lewis, Mark A., Lutscher, F., de Vries, G.

We construct and analyze a nonlocal continuum model for group formation with application to self-organizing collectives of animals in homogeneous environments. The model consists of a hyperbolic system of conservation laws, describing individual movement as a correlated random walk. The turning...

2002-01-01

MacIsaac, H.J., Lewis, Mark A., Robbins, T.C.

The spread of nonindigenous species in aquatic ecosystems provides an opportunity to develop new perspectives on the invasion process. In this paper we review existing invasion models, most of which were developed to describe invasions of terrestrial habitats, and propose an alternative that...

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...