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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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2024-05-03
Cheng, Haihui, Sysoeva, Liubov, Wang, Hao, Yuan, Hairui, Zhang, Tonghua, Meng, Xinzhu
Abstract (description taken from article) In biology, evolutionary game-theoretical models often arise in which players’ strategies impact the state of the environment, driving feedback between strategy and the surroundings. In this case, cooperative interactions can be applied to studying...
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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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Spring 2021
Despite the ubiquity of physical systems evolving on time-dependent spatial domains ranging from crystal growth, formation of patterns and shapes in biology and living organisms – animals skin patterns, tentacle patterns on Hydra, whorled leaves, teeth primordia in the alligator – to...
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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...