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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...

2019-01-01

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 identies reproduction numbers and other threshold parameters in the literature in terms of their roles in population control. The framework is applied...

2014-10-01

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...

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...

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...

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...

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...

2020-01-01

Dean C. Koch, Mark A. Lewis, Subhash R. Lele

When building models to explain the dispersal patterns of organisms, ecologists often use an isotropic redistribution kernel to represent the distribution of movement distances based on phenomenological observations or biological considerations of the underlying physical movement mechanism....

2022-01-01

Jonathan R. Potts, Valeria Giunta, Mark A. Lewis

A principal concern of ecological research is to unveil the causes behind observed spatiotemporal distributions of species. A key tactic is to correlate observed locations with environmental features, in the form of resource selection functions or other correlative species distribution models. In...

2022-03-30

Jonathan R. Potts, Valeria Giunta, Mark A. Lewis

A principal concern of ecological research is to unveil the causes behind observed spatio-temporal distributions of species. A key tactic is to correlate observed locations with environmental features, in the form of resource selection functions or other correlative species distribution models....