海南大学学报(自然科学版)2025,Vol.43Issue(6):703-713,11.DOI:10.15886/j.cnki.hndk.2024120902
二值噪声诱导下Holling Ⅳ-Leslie捕食系统不稳定性研究
Instability of Holling Ⅳ-Leslie predator-prey system induced by dichotomous noise
摘要
Abstract
In the report,the stability regulation mechanism of the Holling Ⅳ-Leslie predator-prey system under dichotomous noise was investigated.By characterizing the critical bifurcation conditions that lead to the instability induced by dichotomous noise,the effects of the noise intensity and the temporal memory on the system's stability were analyzed,and it was demonstrated that adjusting temporal memory can expand the region of Turing instability more sensitively.The numerical simulation experiment results indicated that dichotomous noise destabilizes the system by reshaping bifurcation curves and inducing limit cycle oscillations.关键词
Holling Ⅳ-Leslie捕食系统/二值噪声/时空因素/随机振荡/临界分岔Key words
Holling Ⅳ-Leslie predator-prey system/dichotomous noise/spatiotemporal factor/stochastic oscillation/critical bifurcation分类
医药卫生引用本文复制引用
CAI Lijuan,ZHANG Panpan,WANG Zhigang,WANG Haohua..二值噪声诱导下Holling Ⅳ-Leslie捕食系统不稳定性研究[J].海南大学学报(自然科学版),2025,43(6):703-713,11.基金项目
国家自然科学基金项目(12261028) (12261028)
海南省自然科学基金项目(122QN215) (122QN215)
海南省工程建模与统计计算重点实验开放课题(HNGCTJ2401) (HNGCTJ2401)