| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Emergent Travelling Pattern in a Spatial Predator-Prey System |
| LIU Pan-Ping |
| Department of Mathematics, North University of China, Taiyuan 030051 |
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| Cite this article: |
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LIU Pan-Ping 2010 Chin. Phys. Lett. 27 028702 |
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Abstract A predator-prey model taking into account both diffusion and migration is considered and a mathematical analysis of the spatial pattern is presented. The numerical simulations show that the travelling pattern can emerge when migration is added. The obtained results may account for the complexity of ecosystems.
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| Keywords:
87.23.Cc
82.40.Ck
05.45.Pq
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Received: 02 April 2009
Published: 08 February 2010
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| PACS: |
87.23.Cc
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(Population dynamics and ecological pattern formation)
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82.40.Ck
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(Pattern formation in reactions with diffusion, flow and heat transfer)
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05.45.Pq
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(Numerical simulations of chaotic systems)
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