منابع مشابه
Pattern formation in spatial games
Pattern formation is crucial for maintaining biodiversity and cooperation in nature and human society. We review recent works on the formation of spatial patterns in the framework of evolutionary games, involving rock-paper-scissors game and social dilemmas. The rock-paper-scissors game, as a basic paradigm for characterizing nonhierarchical cyclical competition in ecosystems, has been widely u...
متن کاملPattern Formation and Spatial Chaos in Spatially
We consider an array of scalar nonlinear dynamical systems _ u = f(u), arranged on the sites of a spatial lattice, for example on the integer lattice ZZ2 in the plane IR2. We impose a coupling between nearest neighbors, and also between next-nearest neighbors, in the form of discrete Laplacians with +and -shaped stencils. These couplings can be of any strength, and of either sign (positive or n...
متن کاملChaos and Spatial pattern formation in phytoplankton dynamics
Introduction Marine viruses infect not only plankton but cultivated stocks of Crabs, Oysters, Mussels, Clams shrimp, Salmon and Catfish, etc. are all susceptible to various kinds of viruses. We observed that the viruses are nonliving organisms, in the sense, they have no metabolism when out side the host and they can reproduce only by infecting the living organisms. Viral infection of the phyto...
متن کاملSpatial Pattern Formation in Asynchronous Cellular Automata with Mass Conservation
The pattern formation of asynchronous cellular automata with mass conservation is explored. A cellular automaton rule causing a specified kind of pattern was manually designed, and the mechanism of pattern formation was found similar to real chemical process. In addition, a methodology to automatically search for pattern-forming cellular automata is proposed, and its performance is validated. T...
متن کاملPattern formation and chaos in spatial ecological public goodsgames.
Cooperators and defectors can coexist in ecological public goods games. When the game is played in two-dimensional continuous space, a reaction diffusion model produces highly irregular dynamics, in which cooperators and defectors survive in ever-changing configurations (Wakano et al., 2009. Spatial dynamics of ecological public goods. Proc. Natl. Acad. Sci. 106, 7910-7914). The dynamics is rel...
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ژورنال
عنوان ژورنال: Journal of Mathematical Biology
سال: 2014
ISSN: 0303-6812,1432-1416
DOI: 10.1007/s00285-014-0792-9