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Dynamical patterns of coexisting strategies in a hybrid discrete-continuum spatial evolutionary game model
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dc.contributor.author | Burgess, A. E. F | |
dc.contributor.author | Schofield, P. G. | |
dc.contributor.author | Hubbard, S. F. | |
dc.contributor.author | Chaplain, Mark A. J. | |
dc.contributor.author | Lorenzi, T. | |
dc.date.accessioned | 2016-10-07T14:30:10Z | |
dc.date.available | 2016-10-07T14:30:10Z | |
dc.date.issued | 2016-12-07 | |
dc.identifier | 246489559 | |
dc.identifier | 30fd94a8-83c1-4479-ba89-19f5339e9b8c | |
dc.identifier | 85002659441 | |
dc.identifier | 000389670900004 | |
dc.identifier.citation | Burgess , A E F , Schofield , P G , Hubbard , S F , Chaplain , M A J & Lorenzi , T 2016 , ' Dynamical patterns of coexisting strategies in a hybrid discrete-continuum spatial evolutionary game model ' , Mathematical Modelling of Natural Phenomena , vol. 11 , no. 5 , pp. 49-64 . https://doi.org/10.1051/mmnp/201611504 | en |
dc.identifier.issn | 0973-5348 | |
dc.identifier.other | ORCID: /0000-0001-5727-2160/work/55378985 | |
dc.identifier.uri | https://hdl.handle.net/10023/9625 | |
dc.description.abstract | We present a novel hybrid modelling framework that takes into account two aspects which have been largely neglected in previous models of spatial evolutionary games: random motion and chemotaxis. A stochastic individual-based model is used to describe the player dynamics,whereas the evolution of the chemoattractant is governed by a reaction-diffusion equation. The two models are coupled by deriving individual movement rules via the discretisation of a taxis-diffusion equation which describes the evolution of the local number of players. In this framework, individuals occupying the same position can engage in a two-player game, and are awarded a payoff, interms of reproductive fitness, according to their strategy. As an example, we let individuals play the Hawk-Dove game. Numerical simulations illustrate how random motion and chemotactic response can bring about self-generated dynamical patterns that create favourable conditions for the coexistence of hawks and doves in situations in which the two strategies cannot coexist otherwise.In this sense, our work offers a new perspective of research on spatial evolutionary games, and provides a general formalism to study the dynamics of spatially-structured populations in biological and social contexts where individual motion is likely to affect natural selection of behavioural traits. | |
dc.format.extent | 16 | |
dc.format.extent | 5980252 | |
dc.language.iso | eng | |
dc.relation.ispartof | Mathematical Modelling of Natural Phenomena | en |
dc.subject | Spatial evolutionary games | en |
dc.subject | Hybrid models | en |
dc.subject | Random motion | en |
dc.subject | Chemotaxis | en |
dc.subject | Hawk-Dove game | en |
dc.subject | Spatial patterns | en |
dc.subject | QA Mathematics | en |
dc.subject | QH301 Biology | en |
dc.subject | NDAS | en |
dc.subject.lcc | QA | en |
dc.subject.lcc | QH301 | en |
dc.title | Dynamical patterns of coexisting strategies in a hybrid discrete-continuum spatial evolutionary game model | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Applied Mathematics | en |
dc.identifier.doi | 10.1051/mmnp/201611504 | |
dc.description.status | Peer reviewed | en |
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