期刊论文

Stochastic Analysis of a Non-autonomous Ratio-dependent Predator-prey Model with Delay

中文

南华大学学报(自然科学版)

1673-0062

2020

34

2

74-81

10.19431/j.cnki.1673-0062.2020.02.012

湖南省自然科学基金资助项目(2016JJ2104)。

本校为第一机构

建立了一类非自治时滞比率依赖的捕食随机模型,并分析研究系统的随机动力性。得到了系统正解的存在性条件,然后通过一些假设得到了系统持久性或灭绝性的充分条件,最后采用Milstein方法通过数值***实所得结论的正确性。

Persistence and extinction of a stochastic non-autonomous ratio-dependent predator-prey model with delay is proposed and studied.The results show that there exists a unique positive solution to the system for any positive initial value.Moreover,sufficient conditions for extinction,non-persistence in the mean and weak persistence are established under some simple assumptions.Finally,numerical simulations are illustrated t...