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
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
摘要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.
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.
(Fluctuation phenomena, random processes, noise, and Brownian motion)
引用本文:
TIAN Liang1**, LIN Min 2. Relaxation of Evolutionary Dynamics on the Bethe Lattice[J]. 中国物理快报, 2012, 29(3): 38701-038701.
TIAN Liang, LIN Min. Relaxation of Evolutionary Dynamics on the Bethe Lattice. Chin. Phys. Lett., 2012, 29(3): 38701-038701.
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