On competitive Lotka-Volterra model in random environments
On competitive Lotka-Volterra model in random environments
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DOI：
10.1016/j.jmaa.2009.03.066
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发表时间：
2009-09
影响因子：
1.3
通讯作者：
Chao Zhu;G. Yin
中科院分区：
文献类型：
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作者：
Chao Zhu;G. Yin
针对随机环境中的竞争Lotka-Volterra模型，利用状态转换扩散模型研究了在外部环境随机变化的情况下，生态系统中n个不同物种的种群规模的动态变化.证明了种群规模的增长率上界。此外，某些长期平均限制的解决方案，从几个角度进行审查。本文还导出了竞争排斥的部分随机原理。最后，用简单的例子来证明我们的研究结果。
Focusing on competitive Lotka–Volterra model in random environments, this paper uses regime-switching diffusions to model the dynamics of the population sizes of n different species in an ecosystem subject to the random changes of the external environment. It is demonstrated that the growth rates of the population sizes of the species are bounded above. Moreover, certain long-run-average limits of the solution are examined from several angles. A partial stochastic principle of competitive exclusion is also derived. Finally, simple examples are used to demonstrate our findings.