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Skip to Search Results- 149Mathematical and Statistical Sciences, Department of
- 149Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 147Biological Sciences, Department of
- 147Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 102The NSERC TRIA Network (TRIA-Net)
- 102The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
- 57Mark A. Lewis
- 49Lewis, Mark A.
- 31Kouritzin, Michael
- 15Keeling, Christopher I.
- 12Bohlmann, Jörg
- 11Erbilgin, Nadir
- 16Mountain pine beetle
- 12Dendroctonus ponderosae
- 12Dispersal
- 9Range expansion
- 8Non-linear filtering
- 8Particle filters
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2016-01-01
Goodsman, Devin W., Koch, Daniel, Whitehouse, Caroline, Evenden, Maya L., Cooke, Barry J., Lewis, Mark A.
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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2008-01-01
Potapov, A. B., Lewis, Mark A.
We consider the model of invasion prevention in a system of lakes that are connected via traffic of recreational boats. It is shown that, in presence of an Allee effect, the general optimal control problem can be reduced to a significantly simpler stationary optimization problem of optimal...
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2013-01-01
Krkošek, M., Ashander, J., Lewis, Mark A., Frazer, N.
The exchange of native pathogens between wild and domesticated animals can lead to novel disease threats to wildlife. However, the dynamics of wild host-parasite systems exposed to a reservoir of domesticated hosts are not well understood. A simple mathematical model reveals that the spill-back...
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2012-01-01
Poulin, R., Connors, B. M., Krkosek, M., Lewis, Mark A.
Allee effects are thought to mediate the dynamics of population colonization, particularly for invasive species. However, Allee effects acting on parasites have rarely been considered in the analogous process of infectious disease establishment and spread. We studied the colonization of...
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2001-01-01
Holt, R. D., Lewis, Mark A., Keitt, T. H.
All species’ ranges are the result of successful past invasions. Thus, models of species’ invasions and their failure can provide insight into the formation of a species’ geographic range. Here, we study the properties of invasion models when a species cannot persist below a critical population...
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2014-06-05
The classical particle filter, introduced in 1993, approximates the normalized filter directly. It has two defiencies, over resampling and the inability to distinguish models, the former of which was overcome but the later is fundamental. Conversely, the weighted particle filter, motivated by the...
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2002-01-01
Lewis, Mark A., Weinberger, H.F., Li, B.T.
The discrete-time recursion system \un+1=Q[\un] with \un(x) a vector of population distributions of species and Q an operator which models the growth, interaction, and migration of the species is considered. Previously known results are extended so that one can treat the local invasion of an...
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2019-01-01
Fazly, Mostafa, Lewis, Mark A, Wang, Hao
We study a hybrid impulsive reaction-advection-diffusion model given by a reaction-advection-diffusion equation composed with a discrete-time map in space dimension $n\in\mathbb N$. The reaction-advection-diffusion equation takes the form \begin{equation}\label{} u^{(m)}_t = \text{div}(A\nabla...
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2002-01-01
Hans F. Weinberger, Mark A. Lewis, Bingtuan Li
The discrete-time recursion system \un+1=Q[\un] with \un(x) a vector of population distributions of species and Q an operator which models the growth, interaction, and migration of the species is considered. Previously known results are extended so that one can treat the local invasion of an...
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Antennal transcriptome analysis of chemosensory gene families in tree killing bark beetles, Ips typographus andDendroctonus ponderosae (Coleoptera: Curculionidae: Scolytinae)
Download2013-01-01
Andersson, Martin N., Schlyter, Fredrik, Bohlmann, Jörg, Grosse-Wilde, Ewald, Li, Maria, Keeling, Christopher I., Hansson, Bill S., Bengtsson, Jonas M., Yuen, Macaire M.S., Hillbur, Ylva
Background The European spruce bark beetle, Ips typographus, and the North American mountain pine beetle, Dendroctonus ponderosae (Coleoptera: Curculionidae: Scolytinae), are severe pests of coniferous forests. Both bark beetle species utilize aggregation pheromones to coordinate mass-attacks on...