| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Relaxation of Evolutionary Dynamics on the Bethe Lattice |
| TIAN Liang1**, LIN Min 2 |
1College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016
2School of Economics and Management, Tsinghua University, Beijing 100084
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| Cite this article: |
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TIAN Liang, LIN Min 2012 Chin. Phys. Lett. 29 038701 |
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Abstract Realistic evolutionary systems are generally structured and are in infinite dimensions. We study the relaxation behavior of evolutionary dynamics on a Bethe lattice, which concerns the invasion of mutants into a population of wild-type individuals. Since the boundary effect plays a significant role in a finite system, with proper approximation we propose an effective method to characterize the evolutionary dynamics. The relaxation behavior of the invasion process is analytically investigated, which is confirmed by extensive simulations. This work is the first systematical investigation on evolutionary dynamics in an infinitely dimensional lattice.
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| Keywords:
87.23.-n
89.75.Hc
05.40.-a
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Received: 21 September 2011
Published: 11 March 2012
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| PACS: |
87.23.-n
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(Ecology and evolution)
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89.75.Hc
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(Networks and genealogical trees)
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05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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