Threshold of a stochastic single population system with infinite delay and time-varying coefficients

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-05-10 DOI:10.1016/j.aml.2025.109597

Daipeng Kuang , Quanxin Zhu , Kai Liu

引用次数: 0

Abstract

This paper focuses on a category of stochastic single population systems. Under mild assumptions, we provide a sufficient condition for the existence of stationary distribution in this system by employing variable substitution and the Krylov–Bogoliubov theorem. Furthermore, we demonstrate its proximity to being the sufficient and necessary condition by examining the system’s extinction.

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具有无限延迟和时变系数的随机单种群系统的阈值

本文研究一类随机单种群系统。在温和的假设下，利用变量代换和Krylov-Bogoliubov定理，给出了该系统平稳分布存在的充分条件。进一步，通过对系统消光的检验，证明了其接近性是系统消光的充分必要条件。

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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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.