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arXiv 1209.5837physics.soc-phcs.SI
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相互作用的生物种群和社会群体中竞争与合作的三个“量子”模型

Three "quantum" models of competition and cooperation in interacting biological populations and social groups

E. D. Vol

摘要:

本文基于开放系统的量子理论的思想,提出了一种适用于描述生物种群和各种社会群体相互作用行为的模型的相容统计方法并允许一个帐户显式离散的系统变量和他们的波动附近的平均值。因此,这种方法也可以适用于描述标准动力学方法失败的小群体。我们详细研究了种群与群体之间相互作用的三种典型模式:1)两个种群之间的对抗性斗争; 2)两个物种之间的合作(或更准确地说,强制性互利共生); 3)两个弱小群体在与第三个强大群体的冲突中形成联盟。从某种意义上说,考虑的模型是相互补充的,包括人口和群体之间的大多数类型的相互作用。此外,这种方法可以推广到统计物理学以及生态学、社会学和其他“软”科学中更复杂的模型。

英文摘要:

In present paper we propose the consistent statistical approach which appropriate for a number of models describing both behavior of biological populations and various social groups interacting with each other.The approach proposed based on the ideas of quantum theory of open systems (QTOS) and allows one to account explicitly both discreteness of a system variables and their fluctuations near mean values.Therefore this approach can be applied also for the description of small populations where standard dynamical methods are failed. We study in detail three typical models of interaction between populations and groups: 1) antagonistic struggle between two populations 2) cooperation (or, more precisely, obligatory mutualism) between two species 3) the formation of coalition between two feeble groups in their conflict with third one that is more powerful . The models considered in a sense are mutually complementary and include the most types of interaction between populations and groups. Besides this method can be generalized on the case of more complex models in statistical physics and also in ecology, sociology and other "soft' sciences.

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