| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Frequency-Locking in a Spatially Extended Predator-Prey Model |
| YU Cun-Juan**, TAN Ying-Xin
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School of Chemical Engineering and Environmental, North University of China, Taiyuan 030051
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| Cite this article: |
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YU Cun-Juan, TAN Ying-Xin 2011 Chin. Phys. Lett. 28 018701 |
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Abstract The study is concerned with the effect of variable dispersal rates on Turing instability of a spatial Holling–Tanner system. A series of numerical simulations show that the oscillatory Turing pattern can emerge due to period diffusion coefficient. Moreover, we find that when the amplitude is above a threshold, 1:1 frequency-locking oscillation can be obtained. The results show that period diffusion coefficient plays an important role on the pattern formation in the predator-prey system.
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| Keywords:
87.23.Cc
82.40.Ck
05.45.Pq
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Received: 03 September 2010
Published: 23 December 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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