Search
Skip to Search Results- 870Biological Sciences, Department of
- 870Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 109Mathematical and Statistical Sciences, Department of
- 109Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 50The NSERC TRIA Network (TRIA-Net)
- 50The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
-
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...
-
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...
-
Dissecting molecular evolution in the highly diverse plant clade Caryophyllales using transcriptome sequencing
Download2015-04-02
Carpenter, Eric J., Xie, Yinlong, Soltis, Douglas E. , Covshoff, Sarah, Smith, Stephen A. , Moore, Michael J., Brockington, Samuel F., Hibberd, Julian M., Sage, Rowan F., Nelson, Matthew N., Yang, Ya, Chen, Li, Yan, Zhixiang, Zhang, Yong, Wong, Gane K.
-
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...
-
2020-06-20
Mark Lewis, William Fagan, Marie Auger-Methe, Jacqueline Frair, John Fryxell, Claudius Gros, Eliezer Gurarie, Susan Healy, Jerod Merkle
Integrating diverse concepts from animal behavior, movement ecology, and machine learning, we develop an overview of the ecology of learning and animal movement. Learning-based movement is clearly relevant to ecological problems, but the subject is rooted firmly in psychology, including a...
-
2016-01-01
Maya L. Groner, Luke A. Rogers, Andrew W. Bateman, Brendan M. Connors, L. Neil Frazer, Sean C. Godwin, Martin Krkosˇek, Mark A. Lewis, Stephanie J. Peacock, Erin E. Rees, Crawford W. Revie, Ulrike E. Schla¨gel
Effective disease management can benefit from mathematical models that identify drivers of epidemiological change and guide decision-making. This is well illustrated in the host–parasite system of sea lice and salmon, which has been modelled extensively due to the economic costs associated...
-
2016-06-13
Vlastimil Kˇrivan, Mark Lewis, Barbara J. Bentz, Sharon Bewick, Suzanne M. Lenhart, Andrew Liebhold
Tree-killing bark beetles are major disturbance agents affecting coniferous forest ecosystems. The role of environmental conditions on driving beetle outbreaks is becoming increasingly important as global climatic change alters environmental factors, such as drought stress, that, in turn, govern...
-
A Fisher–KPP Model with a Nonlocal Weighted Free Boundary: Analysis of How Habitat Boundaries Expand, Balance or Shrink
Download2020-11-05
Chunxi Feng, Mark A. Lewis, Chuncheng Wang, Hao Wang
In this paper, we propose a novel free boundary problem to model the movement of single species with a range boundary. The spatial movement and birth/death processes of the species found within the range boundary are assumed to be governed by the classic Fisher–KPP reaction–diffusion equation,...