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arXiv 0910.1622cond-mat.softcond-mat.stat-mech
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具有内部群体动力学的非对称种群的反常慢损耗时间

Anomalously slow attrition times for asymmetric populations with internal group dynamics

Zhenyuan Zhao, Juan Camilo Bohorquez, Alex Dixon, Neil F. Johnson

摘要:

生物所表现出的多体动力学包括种群内的群体形成,以及两个对立种群之间由于竞争或冲突而产生的非平衡损耗过程。我们分析和数值计算表明,这两个动力学过程的组合产生的摩擦持续时间T的非线性依赖于人口不对称性x是在标准的质量作用理论形成鲜明对比。无论多数群体是否采用这种内部分组,少数群体的生存时间都比两个同等平衡的群体要长。添加具有预定义组大小的第三个群体允许定制T(x)。我们的研究结果与现实世界的观察结果相比是有利的。

英文摘要:

The many-body dynamics exhibited by living objects include group formation within a population, and the non-equilibrium process of attrition between two opposing populations due to competition or conflict. We show analytically and numerically that the combination of these two dynamical processes generates an attrition duration T whose nonlinear dependence on population asymmetry x is in stark contrast to standard mass-action theories. A minority population experiences a longer survival time than two equally balanced populations, irrespective of whether the majority population adopts such internal grouping or not. Adding a third population with pre-defined group sizes allows T(x) to be tailored. Our findings compare favorably to real-world observations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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