有害扩散个体群体中的人口波动
Demographic fluctuations in a population of anomalously diffusing individuals
摘要：
研究了由死亡和繁殖引起的有害扩散种群的空间聚集现象。在连续时间随机游走（CTRW）产生异常扩散的情况下，考察了社会行为影响迁移策略的可能性。在独立扩散个体的情况下，动力学似乎与（死亡和再生）布朗步行者的动力学一致。在强社会性的情况下，这种动态与非迁移个体的动态一致。在这两个限制，增长率的波动变得独立的赫斯特指数的CTRW。分析了随机陷阱空间分布引起的种群迁移所引起的社会行为。
英文摘要：
The phenomenon of spatial clustering induced by death and reproduction in a population of anomalously diffusing individuals is studied analytically. The possibility of social behaviors affecting the migration strategies has been taken into exam, in the case anomalous diffusion is produced by means of a continuous time random walk (CTRW). In the case of independently diffusing individuals, the dynamics appears to coincide with that of (dying and reproducing) Brownian walkers. In the strongly social case, the dynamics coincides with that of non-migrating individuals. In both limits, the growth rate of the fluctuations becomes independent of the Hurst exponent of the CTRW. The social behaviors that arise when transport in a population is induced by a spatial distribution of random traps, have been analyzed.
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