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二值噪声诱导下Holling IV-Leslie捕食系统不稳定性研究

Instability analysis of Holling IV-Leslie Predator-Prey System Induced by Binary Noise

  • 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。

     

    Abstract: The study investigates the stability regulation mechanism of the Holling IV-Leslie predator-prey system under dichotomous noise. By characterizing the critical bifurcation conditions that lead to instability induced by dichotomous noise, the research reveals the influence of noise intensity and temporal memory on the system's stability. It is demonstrated that adjusting temporal memory can more sensitively expand the region of Turing instability. Numerical simulations show that dichotomous noise destabilizes the system by reshaping bifurcation curves and inducing limit cycle oscillations.

     

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