论具有无限延迟的随机 Lotka-Volterra 系统的 β 消亡和稳定性

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-11-06 DOI:10.1007/s10255-024-1078-7

Shu-fen Zhao

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引用次数: 0

摘要

本文考虑了一个具有无限延迟的随机 Lotka-Volterra 系统。本文提出了一个新的消亡概念，即几乎肯定的β消亡，并得到了解几乎肯定β消亡的充分条件。当正平衡存在且噪声强度足够小时，系统的任何解都会被正平衡所吸引。最后，我们进行了数值模拟来支持这些结果。

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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On β-extinction and Stability of a Stochastic Lotka-Volterra System with Infinite Delay

In this paper, a stochastic Lotka-Volterra system with infinite delay is considered. A new concept of extinction, namely, the almost sure β-extinction is proposed and sufficient conditions for the solution to be almost sure β-extinction are obtained. When the positive equilibrium exists and the intensities of the noises are small enough, any solution of the system is attracted by the positive equilibrium. Finally, numerical simulations are carried out to support the results.

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来源期刊

Acta Mathematicae Applicatae Sinica, English Series 数学-应用数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.