Research Publications (Mathematical and Statistical Sciences)
Items in this Collection
- 55Mark A. Lewis
- 48Lewis, Mark A.
- 31Kouritzin, Michael
- 7Jonathan R. Potts
- 6Krkošek, Martin
- 6Stephanie J. Peacock
- 149Mathematical and Statistical Sciences, Department of
- 149Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 109Biological Sciences, Department of
- 109Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 12The NSERC TRIA Network (TRIA-Net)
- 12The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
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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...
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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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2023-01-30
Thomas Hillen, Alexandra Shyntar
Cancer stem cells (CSCs) are pluripotent cancer cells, which are less sensitive to treatments, and which can generate new tumors once transplanted into a healthy tissue environment. They have been identified in many cancers and they are the driving force of cancer growth and metastasis....
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2019-01-01
Jody R. Reimer, Marc Mangel, Andrew E. Derocher, Mark A. Lewis
Animals must balance a series of costs and benefits while trying to maximize their fitness. For example, an individual may need to choose how much energy to allocate to reproduction versus growth, or how much time to spend on vigilance versus foraging. Their decisions depend on complex...
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2020-01-19
Mélodie Kunegel-Lion, Mark A. Lewis
The efficacy of direct control methods in bark beetle outbreaks is a disputed topic. While some studies report that control reduces tree mortality, others see little effect. Existing models, linking control rate to beetle population dynamics and tree infestations, give insights, but there is a...
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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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2003
Kouritzin, Michael, Ma, Xinjian, Long, Hongwei, Sun, Wei
Nonlinear filtering is an important and effective tool for handling estimation of signals when observations are incomplete, distorted, and corrupted. Quite often in real world applications, the signals to be estimated contain unknown parameters which need to be determined. Herein, we develop and...
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2008
Kouritzin, Michael, Newton, Fraser, Orsten, Sterling, Wilson, Daniel
Classification of data as true or fabricated has applications in fraud detection and verification of data samples. In this paper, we apply nonlinear filtering to a simplified fraud-detection problem: classifying coin flip sequences as either real or faked. On the way, we propose a method for...
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2008
In this paper, we give a direct derivation of the Duncan–Mortensen–Zakai filtering equation, without assuming right continuity of the signal, nor its filtration, and without the usual finite energy condition. As a consequence, the Fujisaki–Kallianpur–Kunita equation is also derived. Our results...