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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 (TRIANet)
 3The NSERC TRIA Network (TRIANet)/Journal Articles (TRIANet)
 44Lewis, Mark A.
 14Mark A. Lewis
 13Kouritzin, Michael
 6Krkošek, Martin
 4Derocher, Andrew E.
 4Jonathan R. Potts

2002
In the context of simulating the transport of a chemical or bacterial contaminant through a moving sheet of water, we extend a wellestablished method of approximating reactiondiffusion equations with Markov chains by allowing convection, certain Poisson measure driving sources and a larger...

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...

1995
Suppose {εk, −∞ < k < ∞} is an independent, not necessarily identically distributed sequence of random variables, and {cj}∞j=0, {dj}∞j=0 are sequences of real numbers such that Σjc2j < ∞, Σjd2j < ∞. Then, under appropriate moment conditions on {εk, −∞ < k < ∞}, View the MathML source, View the...

2005
Herein, we analyze an efficient branching particle method for asymptotic solutions to a class of continuousdiscrete filtering problems. Suppose that t→Xt is a Markov process and we wish to calculate the measurevalued process t→μt(⋅)≐P{Xt∈⋅σ{Ytk, tk≤t}}, where tk=kɛ and Ytk is a distorted,...

Rates of convergence in a central limit theorem for stochastic processes defined by differential equations with a small parameter
Download1992
Kouritzin, Michael, Heunis, A.J.
Let μ be a positive finite Borel measure on the real line R. For t ≥ 0 let et · E1 and E2 denote, respectively, the linear spans in L2(R, μ) of {eisx, s > t} and {eisx, s < 0}. Let θ: R → C such that ∥θ∥ = 1, denote by αt(θ, μ) the angle between θ · et · E1 and E2. The problems considered here...

A body composition model to estimate mammalian energy stores and metabolic rates from body mass and body length, with application to polar bears
Download20090101
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...

19950101
Sherratt, J. A., Lewis, Mark A., Fowler, A. C.
Irregularities in observed population densities have traditionally been attributed to discretization of the underlying dynamics. We propose an alternative explanation by demonstrating the evolution of spatiotemporal chaos in reactiondiffusion models for predatorprey interactions. The chaos is...

20130101
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 hostparasite systems exposed to a reservoir of domesticated hosts are not well understood. A simple mathematical model reveals that the spillback...

A mechanistic model for understanding invasions: using the environment as a predictor of population success
Download20110101
DiBacco, C., Lewis, Mark A., Strasser, C. A.
Aim We set out to develop a temperatureand salinitydependent 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...