摘要
研究了二值噪声下Holling Ⅳ-Leslie捕食系统的稳定性调控机制,通过刻画二值噪声引发的不稳定性临界分岔条件,揭示了噪声强度与时间记忆对系统稳定性的影响,证明调节时间记忆可更敏感地扩展图灵不稳定性区域。数值模拟表明,二值噪声通过重塑分岔曲线诱导极限环振荡促使系统失稳。
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.
作者
蔡丽娟
张盼盼
王志刚
王浩华
CAI Lijuan;ZHANG Panpan;WANG Zhigang;WANG Haohua(School of Mathematics and Statistics,Hainan University,Haikou 570228,China;Hainan Key Laboratory for Engineering Modeling and Statistical Calculation,Haikou 570228,China)
基金
国家自然科学基金项目(12261028)
海南省自然科学基金项目(122QN215)
海南省工程建模与统计计算重点实验开放课题(HNGCTJ2401)。
