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来源类型Article
规范类型其他
DOI10.1007/s11071-011-0166-4
Remarks on cannibalism and pattern formation in spatially extended prey-predator systems.
Fasani S; Rinaldi S
发表日期2012
出处Nonlinear Dynamics 67 (4): 2543-2548
出版年2012
语种英语
摘要The relationships between cannibalism and pattern formation in spatially extended prey-predator systems are studied with a model that degenerates, in the absence of cannibalism, into the most standard prey-predator model, known as Rosenzweig-MacArthur model. The analysis is based on the theory developed long ago by Turing in his famous paper on morphogenesis, but in a special form, which allows one to decouple the role of demographic parameters from that of diffusive dispersal. The proofs are given in terms of prey and predator nullclines because ecologists are mainly familiar with this technique. The final result of the analysis is that spatial pattern can exist only in systems with highly cannibalistic and highly dispersing predator provided the attractor of the system in the absence of cannibalism is a limit cycle. This result is more simple and more complete than that published in this journal a few years ago by Sun and coauthors.
主题Evolution and Ecology (EEP)
关键词Cannibalism Dispersal Prey-predator models Spatial pattern Turing instability
URLhttp://pure.iiasa.ac.at/id/eprint/9999/
来源智库International Institute for Applied Systems Analysis (Austria)
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资源类型智库出版物
条目标识符http://119.78.100.153/handle/2XGU8XDN/129576
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Fasani S,Rinaldi S. Remarks on cannibalism and pattern formation in spatially extended prey-predator systems.. 2012.
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