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- 3Chaos
- 2Advection–diffusion
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- 2Jonathan R. Potts
- 2Mark A. Lewis
- 1Apedaile, L. Peter
- 1Freedman, H.I.
- 1Ghadiri Motlagh, Mahdi
- 1Hillen, T.
- 3Biological Sciences, Department of
- 3Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 2Graduate and Postdoctoral Studies (GPS), Faculty of
- 2Graduate and Postdoctoral Studies (GPS), Faculty of /Theses and Dissertations
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- 2Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
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Direction-Dependent Communication Mechanisms in Individual-Based Models of Collective Behaviour
DownloadFall 2014
In this thesis, we study direction-dependent communication mechanisms in individual-based models (IBMs) of collective behaviour. Previously, direction-dependent communication mechanism were incorporated into a non-local hyperbolic PDE model for collective behaviour. The PDE model exhibits...
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Impacts of Recovery Rates and Terms of Trade on Strange Attractors and Predictability in Sustainable Agriculture
Download1994
Schilizzi, Steven, Apedaile, L. Peter, Freedman, H.I., Solomonovich, M.
Sustaining agricultural systems requires the ability to predict approaching extinction. Thus a suitable model needs to generate predictability as an intrinsic attribute. Such a model should provide several features for managers. It should incorporate learning about the minimum sustainable...
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2009
Hillen, T., Lewis, M.A., Lee, J.M.
In this paper, we consider spatial predator–prey models with diffusion and prey-taxis. We investigate necessary conditions for pattern formation using a variety of non-linear functional responses, linear and non-linear predator death terms, linear and non-linear prey-taxis sensitivities, and...
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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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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...