色噪声与乘性信号驱动下昆虫爆发系统的稳定性和随机共振

研究的是一类受色噪声和乘性周期信号驱动的昆虫爆发系统的稳定性和随机共振现象.首先对于一类由色交叉关联噪声驱动的昆虫爆发种群系统,通过应用FPK方程,获取了系统的稳态概率分布函数的近似表达式,重点讨论了噪声强度及自相关时间对此类昆虫爆发系统稳定性的影响; 然后通过加入弱乘性周期信号,根据快速下降法和两态理论给出了信噪比公式,研究了噪声及其关联时间对于昆虫系统信噪比的影响.进而分析它们对系统种群数的稳定性和延续存活时间的一些实际作用

The Steady State Property and Stochastic Resonance for an Insect Outbreak Model Driven by Colored Noises and a Multiplicative Periodic Signal

The steady state behavior and the stochastic resonance of an insect outbreak model induced by colored noises and a multiplicative periodic signal are studied.Firstly,for an insect outbreak model driven by colored correlation of noises.The steady state probability distribution function of the system is obtained by applying the Fokker-Planck equation.The influence of noises intensity and correlation time on the stability of the system are discussed.Then by adding the weak multiplicative periodic signal, the signal noise ratio formula is given by the fast descent method and the two-state theory.The influence of noises intensity and correlation time on the SNR of the insect system are studied. Consequently, the stability of the system population and the actual survival time are analyzed.