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Skip to Search Results- 6Mark A. Lewis
- 4Jonathan R. Potts
- 2Thomas Hillen
- 1Andrew E. Derocher
- 1Juliana M. Berbert
- 1Mark A. Edwards
- 6Animal movement
- 3Mathematical ecology
- 2Advection–diffusion
- 2Partial differential equations
- 1Advection-diffusion
- 1Anomalous diffusion
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The “edge effect” phenomenon: deriving population abundance patterns from individual animal movement decisions
Download2016-01-01
Jonathan R. Potts, Thomas Hillen, Mark A. Lewis
Edge effects have been observed in a vast spectrum of animal populations. They occur where two conjoining habitats interact to create ecological phenomena that are not present in either habitat separately. On the individuallevel, an edge effect is a change in behavioral tendency on or near the...
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2022-01-01
Peter R. Thompson, Mark A. Lewis, Mark A. Edwards, Andrew E. Derocher
Background Animal movement modelling provides unique insight about how animals perceive their landscape and how this perception may influence space use. When coupled with data describing an animal’s environment, ecologists can fit statistical models to location data to describe how spatial memory...
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2015-01-01
Jonathan R. Potts, Mark A. Lewis
Territoriality is a phenomenon exhibited throughout nature. On the individual level, it is the processes by which organisms exclude others of the same species from certain parts of space. On the population level, it is the segregation of space into separate areas, each used by subsections of the...
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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...
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2017-11-25
Juliana M. Berbert, Mark A. Lewis
Animal search patterns are governed by the various movement strategies undertaken when animals encounter stimuli. The stimuli caused by resource growth and depletion can modify search patterns due to the need to finding resources. In this paper, we investigate the influence of resource depletion...
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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...