How many preys could coexist with a shared predator in the Lotka-Volterra system?: State transition by species deletion/introduction
How many preys could coexist with a shared predator in the Lotka-Volterra system?: State transition by species deletion/introduction
复制标题
在 Lotka-Volterra 系统中，有多少猎物可以与共享捕食者共存？：通过物种删除/引入进行状态转换
DOI：
10.1088/1751-8121/abadb8
复制
发表时间：
2020
期刊：
影响因子：
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通讯作者：
Kimura Toshihiko
中科院分区：
文献类型：
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作者：
Seno Hiromi;Schneider Victor P;Kimura Toshihiko
研究了Lotka-Volterra n食饵-1捕食者系统，系统中食饵之间没有种间相互作用，且每一个食饵都与其他食饵存在明显的竞争关系.本文所考虑的系统必然存在全局渐近稳定的唯一平衡态。我们发现的必要条件和充分条件，以确定哪些平衡态成为渐近稳定的。然后我们考虑了本地食饵种群的删除和外来食饵种群的入侵对系统稳定性的影响。我们证明了一个猎物物种的缺失不会导致任何其他猎物物种的二次灭绝，但可以使捕食者灭绝。相反，如果一个外来的猎物物种被成功地引入到共存的平衡状态，一些本地猎物物种可能会发生灭绝的明显竞争效应。此外，这样一个成功的引进外来猎物物种的原因减少的人口规模的每一个幸存的本地猎物物种，而它总是增加捕食者的平衡人口规模，即使一些本地猎物物种灭绝。我们发现，明显的竞争效应的强度将显着影响的数量和共存的猎物物种的组成。
We analyze the Lotka–Volterra n prey-1 predator system without any interspecific interaction between preys, in which each prey species has the relationship of apparent competition with any other prey species. The system we considered in this paper necessarily has a globally asymptotically stable unique equilibrium state. We find the necessary and sufficient condition to determine which equilibrium states becomes asymptotically stable. Then we consider the effect of the deletion of a native prey species and that of the invasion of an alien prey species on the stability of the system. We prove that the deletion of a prey species could not cause the secondary extinction of any other prey species but could make the predator go extinct. In contrast, if an alien prey species is successfully introduced into the system at the coexistent equilibrium state, the extinction of some native prey species could occur by the apparent competition effect. Moreover, such a successful introduction of an alien prey species causes the reduction of the population size of every surviving native prey species while it always increases the predator's equilibrium population size even when some native prey species go extinct. We show that the strength of the apparent competition effect would be significantly affected by the number and the composition of coexisting prey species.