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Skip to Search Results- 77Mathematical and Statistical Sciences, Department of
- 77Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 62Biological Sciences, Department of
- 62Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 3The NSERC TRIA Network (TRIA-Net)
- 3The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
- 44Lewis, Mark A.
- 14Mark A. Lewis
- 13Kouritzin, Michael
- 6Krkošek, Martin
- 4Derocher, Andrew E.
- 4Jonathan R. Potts
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A hybrid gravity and route choice model to assess vector traffic in large-scale road networks
Download2020-01-01
S. M. Fischer, M. Beck, L.-M. Herborg, M. A. Lewis
Human traffic along roads can be a major vector for infectious diseases and invasive species. Though most road traffic is local, a small number of long-distance trips can suffice to move an invasion or disease front forward. Therefore, understanding how many agents travel over long distances and...
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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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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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2017-01-01
QIHUA HUANG, HAO WANG, MARK A. LEWIS
While some species spread upstream in river environments, not all invasive species are successful in spreading upriver. Here the dynamics of unidirectional water flow found in rivers can play a role in determining invasion success. We develop a continuous-discrete hybrid benthic-drift population...
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2014
Kouritzin, Michael, Ren, Y.-X.
Let ℓ be Lebesgue measure and X=(Xt,t≥0;Pμ) be a supercritical, super-stable process corresponding to the operator −(−Δ)α/2u+βu−ηu2 on Rd with constants β,η>0 and α∈(0,2]. Put View the MathML source, which for each smallθ is an a.s. convergent complex-valued martingale with limit View the MathML...
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A body composition model to estimate mammalian energy stores and metabolic rates from body mass and body length, with application to polar bears
Download2009-01-01
Derocher, Andrew E., Klanjscek, Tin, Molnár, Péter K., Lewis, Mark A., Obbard, Martyn E.
Many species experience large fluctuations in food availability and depend on energy from fat and protein stores for survival, reproduction and growth. Body condition and, more specifically, energy stores thus constitute key variables in the life history of many species. Several indices exist to...
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A law of the iterated logarithm for stochastic processes defined by differential equations with a small parameter
Download1994
Heunis, A.J., Kouritzin, Michael
Consider the following random ordinary differential equation: X˙ϵ(τ)=F(Xϵ(τ),τ/ϵ,ω)subject toXϵ(0)=x0, where {F(x,t,ω),t≥0} are stochastic processes indexed by x in Rd, and the dependence on x is sufficiently regular to ensure that the equation has a unique solution Xϵ(τ,ω) over the interval...
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A mechanistic model for understanding invasions: using the environment as a predictor of population success
Download2011-01-01
DiBacco, C., Lewis, Mark A., Strasser, C. A.
Aim We set out to develop a temperature-and salinity-dependent mechanistic population model for copepods that can be used to understand the role of environmental parameters in population growth or decline. Models are an important tool for understanding the dynamics of invasive species; our model...
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2006-01-01
Chad M. Topaz, Andrea L. Bertozzi, Mark A. Lewis
We construct a continuum model for biological aggregations in which individuals experience long-range social attraction and short range dispersal. For the case of one spatial dimension, we study the steady states analytically and numerically. There exist strongly nonlinear states with compact...
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2011-01-01
Fagan, W. F., Jin, Y., Bishop, J. G., Marleau, J. M., Lewis, Mark A.
The relative importance of plant facilitation and competition during primary succession depends on the development of ecosystem nutrient pools, yet the interaction of these processes remains poorly understood. To explore how these mechanisms interact to drive successional dynamics, we devised a...