论文标题

死亡率使共存在岩纸剪辑的进化游戏中易受伤害

Mortality makes coexistence vulnerable in evolutionary game of rock-paper-scissors

论文作者

Bhattacharyya, Sirshendu, Sinha, Pritam, De, Rina, Hens, Chittaranjan

论文摘要

人们认为,生态系统中的多种物种会在生存周期性上竞争,从而保持自然界的平衡。随机性在这种动态中也不可避免地作用。考虑到自然的这些属性,基于循环优势构想的岩纸剪裁模型的随机动力学成为捕获生态系统不同方面的有效工具。该模型的进化动力学至关重要地取决于代表不同自然习惯的不同相互作用。在此框架中,我们探讨了单个生物体死亡率在物种集体生存中的作用。为此,引入了称为“自然死亡”的新参数。它的目的是使个人的脱发无关任何种类内部和种间的相互作用。我们进行蒙特卡洛模拟,然后对定义速率方程的不同固定点进行稳定性分析,并观察到自然死亡率令人惊讶地是决定生态系统是否会共存还是单个物种存活的最重要因素之一。

Multiple species in the ecosystem are believed to compete cyclically for survival and thus maintain balance in nature. Stochasticity has also an inevitable role in this dynamics. Considering these attributes of nature, the stochastic dynamics of the rock-paper-scissor model based on the idea of cyclic dominance becomes an effective tool to capture different aspects of ecosystem. The evolutionary dynamics of this model crucially depends on different interactions representing different natural habits. In this framework we explore the role of mortality of individual organism in the collective survival of a species. For this purpose a new parameter called `natural death' is introduced. It is meant for bringing about the decease of an individual irrespective of any intra- and interspecific interaction. We perform Monte Carlo simulation followed by the stability analysis of different fixed points of defined rate equations and observe that the natural death rate is surprisingly one of the most significant factors in deciding whether an ecosystem would come up with a coexistence or a single species survival.

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