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Skip to Search Results- 91Mathematical and Statistical Sciences, Department of
- 91Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 63Biological Sciences, Department of
- 63Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 3The NSERC TRIA Network (TRIA-Net)
- 3The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
- 48Lewis, Mark A.
- 14Mark A. Lewis
- 14Wang, Hao
- 13Kouritzin, Michael
- 6Krkošek, Martin
- 4Derocher, Andrew E.
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Global analysis of an age-structured tuberculosis model with an application to Jiangsu, China
Download2024-04-02
Jing, Shuanglin, Xue, Ling, Wang, Hao, Peng, Zhihang
Abstract (taken from the article) Diagnostic delay for TB infected individuals and the lack of TB vaccines for adults are the main challenges to achieve the goals of WHO by 2050. In order to evaluate the impacts of diagnostic delay and vaccination for adults on prevalence of TB, we propose an...
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2016-01-01
Marie Auger-Méthé, Mark A. Lewis, Andrew E. Derocher
Home range size estimates are often used to assess the amount of space required for animals to perform the activities essential for their survival and reproduction. However, in moving environments, traditional home range estimates may be ill suited to this task. In particular, traditional home...
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2014-01-01
Potts, Jonathan R., Lewis, Mark A.
Territory formation is ubiquitous throughout the animal kingdom. At the individual level, various behaviours attempt to exclude conspecifics from regions of space. At the population level, animals often segregate into distinct territorial areas. Consequently, it should be possible to derive...
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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...
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2001-01-01
Observations on Mount St Helens indicate that the spread of recolonizing lupin plants has been slowed due to the presence of insect herbivores and it is possible that the spread of lupins could be reversed in the future by intense insect herbivory [Fagan, W. F. and J. Bishop (2000). Trophic...
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Integrated step selection analysis: Bridging the gap between resource selection and animal movement
Download2016-01-01
Avgar, Tal, Potts, Jonathan R., Lewis, Mark A., Boyce, Mark S.
A resource selection function is a model of the likelihood that an available spatial unit will be used by an animal, given its resource value. But how do we appropriately define availability? Step selection analysis deals with this problem at the scale of the observed positional data, by matching...
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1997
Kouritzin, Michael, Dawson, Donald
A general Hilbert-space-based stochastic averaging theory is brought forth herein for arbitrary-order parabolic equations with (possibly long range dependent) random coefficients. We use regularity conditions onView the MathML sourcewhich are slightly stronger than those required to prove...
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2001-01-01
Clark, James S., Lewis, Mark A., Horvath, Lajos
For populations having dispersal described by fat‐tailed kernels (kernels with tails that are not exponentially bounded), asymptotic population spread rates cannot be estimated by traditional models because these models predict continually accelerating (asymptotically infinite) invasion. The...
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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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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...