一个三物种食物链随机模型的平稳分布和灭绝

IF 0.3 Q4 MATHEMATICS

Transactions of A Razmadze Mathematical Institute Pub Date : 2018-08-01 DOI:10.1016/j.trmi.2017.12.002

Yonggang Ma , Qimin Zhang

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引用次数: 4

摘要

本文研究了一个随机三物种食物链模型的长期行为。利用马尔可夫半群理论，证明了该模型的密度在适当条件下可以收敛于不变密度或弱收敛于L1中的奇异测度。进一步得到了这三个物种灭绝的几个充分条件。最后，通过数值模拟验证了本文的理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stationary distribution and extinction of a three-species food chain stochastic model

In this paper, we investigate long-time behaviour of a stochastic three-species food chain model. By Markov semigroups theory, we prove that the densities of this model can converge to an invariant density or can converge weakly to a singular measure in $L^{1}$ under appropriate conditions. Further, several sufficient conditions for the extinction of the three species were obtained. Finally, numerical simulations are carried out to illustrate our theoretical results.

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来源期刊

Transactions of A Razmadze Mathematical Institute MATHEMATICS-

CiteScore

0.50

自引率

50.00%

发文量

审稿时长

22 weeks