Research Publications (Mathematical and Statistical Sciences)

2020-01-01

Stephanie J. Peacock, Martin Krkošek, Andrew W. Bateman, Mark A. Lewis

Parasite transmission between farmed and wild salmon affects the sustainability of salmon aquaculture in Pacific Canada. Understanding and managing parasites in aquaculture is challenged by spatial and temporal variation in transmission dynamics. We developed a mechanistic model that connects sea...

2018-03-27

Yanyu Xiao, Russell Greiner, Mark A. Lewis

In the work, we evaluate the performance of machine learning approaches for predicting successful eradication of aquatic invasive species (AIS) and assess the extent to which eradication of an invasive species depends on the certain specified ecological features of the target ecosystem...

2014-01-01

Alex Potapov, Ulrike E. Schlagel, Mark A. Lewis

We use an evolutionary approach to find “most appropriate” dispersal models for ecological applications. From a random walk with locally or nonlocally defined transition probabilities we derive a family of diffusion equations. We assume a monotonic dependence of its diffusion coefficient on...

2019-11-19

Mark A. Lewis

2016-05-16

Mark A. Lewis

2015-01-01

Bateman, Andrew W., Neubert, Michael G., Krkošek, Martin, Lewis, Mark A.

Some of the most fundamental quantities in population ecology describe the growth and spread of populations. Population dynamics are often characterized by the annual rate of increase, λ, or the generational rate of increase, R0. Analyses involving R0 have deepened our understanding of disease...

2008

Kouritzin, Michael, Wu, Biao

Target Obscuration, including foliage or building obscuration of ground targets and landscape or horizon obscuration of airborne targets, plagues many real world filtering problems. In particular, ground moving target identification Doppler radar, mounted on a surveillance aircraft or unattended...

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...

2015-01-01

Qihua Huang, Mark A. Lewis

Short-term and long-term population growth rates can differ considerably. While changes in growth rates can be driven by external factors, we consider another source for changes in growth rate. That is, changes are generated internally by gradual modification of population structure. Such...

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...