Department of Physics, R.R.R Mahavidyalaya, Radhanagar, Hooghly 712406, India.
Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700108, India.
Phys Rev E. 2020 Jul;102(1-1):012220. doi: 10.1103/PhysRevE.102.012220.
Multiple species in the ecosystem are believed to compete cyclically for maintaining balance in nature. The evolutionary dynamics of cyclic interaction crucially depends on different interactions representing different natural habits. Based on a rock-paper-scissors model of cyclic competition, we explore the role of mortality of individual organisms in the collective survival of a species. For this purpose a 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 a Monte Carlo simulation followed by a 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.
人们相信,生态系统中的多个物种会周期性地竞争,以维持自然平衡。循环相互作用的进化动态取决于代表不同自然习性的不同相互作用。基于循环竞争的石头剪刀布模型,我们探讨了个体生物死亡在物种集体生存中的作用。为此,引入了一个称为“自然死亡”的参数。它旨在导致个体的死亡,而与任何种内和种间相互作用无关。我们进行了蒙特卡罗模拟,然后对定义的速率方程的不同平衡点进行稳定性分析,结果表明,自然死亡率是决定生态系统是共存还是单一物种生存的最重要因素之一。