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Skip to Search Results- 55Mark A. Lewis
- 7Jonathan R. Potts
- 6Stephanie J. Peacock
- 5Andrew W. Bateman
- 5Nathan G. Marculis
- 5Qihua Huang
- 55Biological Sciences, Department of
- 55Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 55Mathematical and Statistical Sciences, Department of
- 55Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 10The NSERC TRIA Network (TRIA-Net)
- 10The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
- 4Animal movement
- 3Integrodifference equations
- 3Ursus maritimus
- 3net reproductive rate
- 3persistence
- 3population dynamics
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2009-12-22
Frédéric M. Hamelin, Mark A. Lewis
In this paper, elements of differential game theory are used to analyze a spatially explicit home range model for interactingwolf packs when movement behavior is uncertain. The model consists of a system of partial differential equations whose parameters reflect the movement behavior of...
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A general theory for target reproduction numbers with applications to ecology and epidemiology
Download2019-01-01
Mark A. Lewis, Zhisheng Shuai, P. van den Driessche
A general framework for threshold parameters in population dynamics is developed using the concept of target reproduction numbers. This framework identies reproduction numbers and other threshold parameters in the literature in terms of their roles in population control. The framework is applied...
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A generalized residual technique for analysing complex movement models using earth mover's distance.
Download2014-10-01
Potts, Jonathan R, Marie Auger-M´eth´e, Karl Mokross, Mark A. Lewis
Complex systems of moving and interacting objects are ubiquitous in the natural and social sciences. Predicting their behaviour often requires models that mimic these systems with sufficient accuracy, while accounting for their inherent stochasticity. Although tools exist to determine which of a...
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2014-01-01
Jonathan R. Potts, Mark A. Lewis
Territorial behaviour is widespread in the animal kingdom, with creatures seeking to gain parts of space for their exclusive use. It arises through a complicated interplay of many different behavioural features. Extracting and quantifying the processes that give rise to territorial patterns...
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2013-01-01
Qihua Huang, Laura Parshotam, Hao Wang, Caroline Bampfylde, Mark A. Lewis
Mathematical models have been widely applied to perform chemical risk assessments on biological populations for a variety of ecotoxicological pro- cesses. In this paper, by introducing a dose-dependent mortality rate function, we formulate a toxin-dependent aquatic population model that...
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2020-01-14
Peter D. Harrington, Mark A. Lewis
In marine systems, adult populations confined to isolated habitat patches can be connected by larval dispersal. Source–sink theory provides effective tools to quantify the effect of specific habitat patches on the dynamics of connected populations. In this paper, we construct the next-generation...
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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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2014-01-01
Jonathan R. Potts, Karl Mokross, Mark A. Lewis
Collective phenomena, whereby agent –agent interactions determine spatial patterns, are ubiquitous in the animal kingdom. On the other hand, movement and space use are also greatly influenced by the interactions between animals and their environment. Despite both types of interaction...
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2020-05-19
Stephanie J. Peacock, Martin Krkošek, Mark A. Lewis, Péter K. Molnár
Migrations allow animals to track seasonal changes in resources, find mates, and avoid harsh climates, but these regular, longdistance movements also have implications for parasite dynamics and animal health. Migratory animals have been dubbed “superspreaders” of infection, but migration can also...
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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...