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Skip to Search Results- 5Mathematical ecology
- 3Advection-diffusion
- 3Animal movement
- 2Aggregation-diffusion
- 2Existence theorems
- 2Non-local advection
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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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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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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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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...