关联噪声下捕食-被捕食模型的动力学研究  

Dynamics of predator-prey model under correlated noise

作　　者：张燕 杨科利 张博文 郑文潇 王参军 ZHANG Yan;YANG Ke-li;ZHANG Bo-wen;ZHENG Wen-xiao;WANG Can-jun(Institute of Physics and Optoelectronic Technology,Baoji University of Arts and Sciences,Baoji 721016,Shaanxi,China)

机构地区：[1]宝鸡文理学院物理与光电技术学院,陕西宝鸡721016

出　　处：《宝鸡文理学院学报（自然科学版）》2024年第1期39-48,共10页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：陕西省自然科学基金项目(2018JM1034)。

摘　　要：目的研究在关联噪声驱动下的捕食-被捕食模型的稳态性质和瞬态性质,进而分析捕食者、被捕食者种群的生存繁衍状况对生态系统动态平衡的影响,增强对复杂生态系统动力学的理解。方法通过Euler-Maruyama Algorithm,对基于比率依赖HollingⅢ型功能反应函数的捕食-被捕食模型在关联噪声下系统稳态概率分布、平均首次通过时间、弛豫时间进行了数值模拟与分析。结果与结论结果表明,噪声间正向关联(0<λ≤1)时,种群间涨落增强系统的稳定性;噪声间负关联(-1≤λ<0)时,种群间涨落减弱系统的稳定性;种群间涨落使得系统的平均首通时间和弛豫时间呈现非单调变化,表明系统的状态转迁存在最优参数。研究发现种群间涨落的关联性应是物种间维持竞争-协作机制的一种潜在方式。Purposes-To study the steady-state and transient properties of predator-prey model driven by correlated white noise,and to analyze the effects of the survival and reproduction of predator and prey populations on the dynamic balance of ecosystems.Methods-The Euler-Maruyama Algorithm is used to simulate and analyze the steady-state probability distribution,mean first passage time,relaxation time of the predator-prey model based on the rate-dependent HollingⅢfunctional response function.Results and Conclusions-The results show that when the system is positively correlated,the stability of the system can be enhanced by appropriate noise intensity and the increase in noise correlation intensity.When the two noises are negatively correlated,the mean first passage time of the system shows that the stability of the system is weakened with the increase in noise intensity and correlation intensity.There are also non-monotonic variations in the mean first pass time and relaxation time,indicating the existence of optimal parameters for the state transitions of the system.Research has found that the correlation of population fluctuations shall be a potential way for species to maintain the competition-collaboration mechanism.

关 键 词：捕食-被捕食 稳态概率分布 平均首次通过时间 弛豫时间 

分 类 号：O415.5[理学—理论物理]