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- 13Mark A. Lewis
- 6Valeria Giunta
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- 5Mathematical ecology
- 4Animal movement
- 4animal movement
- 4partial differential equations
- 3Advection-diffusion
- 3Taxis
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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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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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Beyond resource selection: emergent spatio-temporal distributions from animal movements and stigmergent interactions
Download2022-03-30
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....
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Beyond resource selection: emergent spatio-temporal distributions from animal movements and stigmergent interactions
Download2022-01-01
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...
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Beyond resource selection: emergent spatio–temporal distributions from animal movements and stigmergent interactions
Download2022-01-01
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....
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Detecting minimum energy states and multi-stability in nonlocal advection–diffusion models for interacting species
Download2022-06-13
Valeria Giunta, Thomas Hillen, Mark A. Lewis, Jonathan R. Potts
Deriving emergent patterns from models of biological processes is a core concern of mathematical biology. In the context of partial differential equations, these emergent patterns sometimes appear as local minimisers of a corresponding energy functional. Here we give methods for determining the...
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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...
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2021-01-01
Valeria Giunta, Thomas Hillen, Mark A. Lewis, Jonathan R. Potts
Non-local advection is a key process in a range of biological systems, from cells within individuals to the movement of whole organisms. Consequently, in recent years, there has been increasing attention on modelling non-local advection mathematically. These often take the form of partial...
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2021-06-11
Valeria Giunta, Thomas Hillen, Mark A. Lewis, Jonathan R. Potts
Non-local advection is a key process in a range of biological systems, from cells within individuals to the movement of whole organisms. Consequently, in recent years, there has been increasing attention on modelling non-local advection mathematically. These often take the form of partial...
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2019-06-04
Jonathan R. Potts, Mark A. Lewis
Mathematical models of spatial population dynamics typically focus on the interplay between dispersal events and birth/death processes. However, for many animal communities, significant arrangement in space can occur on shorter timescales, where births and deaths are negligible. This phenomenon...