两种具有阶段结构的随机捕食-食饵模型分析

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-10-06 DOI:10.1007/s10255-025-0068-8

Xin-qi Wang, Tian-si Zhang

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引用次数: 0

摘要

本文研究了具有阶段结构的两个捕食者的随机捕食-食饵模型。通过构造合适的随机Lyapunov函数，验证了模型平稳分布的条件，得到了模型具有遍历平稳分布的充分条件。然后，利用Itô公式给出了捕食者种群灭绝的充分条件。最后通过算例和数值模拟验证了理论结果。

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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Analysis of Two Kinds of Stochastic Predator-prey Models with Stage Structure

In this paper, we studied a stochastic predator-prey model of two predators with stage structure. By constructing a suitable stochastic Lyapunov function, the condition of stationary distribution is verified, and we get the sufficient condition for the model to have ergodic stationary distribution. Then, by using the Itô’s formula for the model, the sufficient conditions for the extinction of the predator population are given. Finally, some examples and numerical simulations are illustrated to verify the theoretical 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.