论文部分内容阅读
在林木生长Logistic模型中,引入加性和乘性关联色噪声,运用统一色噪声近似、刘维方程以及诺维科夫原理,推导了近似福克-普朗克方程,分析了相关参数对稳态概率分布函数的影响.结果表明:改变乘性色噪声强度D和加性色噪声强度Q均能导致稳态概率分布曲线峰值高度的改变以及峰位置的移动,对概率密度分布呈现出漂移作用.但是在D和Q增大的过程中,稳态概率分布曲线峰位置的移动方向是不同的:D增大时,峰的位置向左移动;Q增大时,峰的位置向右移动.另外,当λ>0时,随着|λ|的增大,稳态概率分布函数峰的位置向右移动,且峰值的高度变大;而λ<0时,随着|λ|的增大,稳态概率分布函数峰值的高度也变大,而峰的位置却向左移动.
In Logistic model of forest growth, the additive and multiplicative correlated color noises were introduced. By using the uniform color noises approximation, Liu Wei equation and Novikov principle, the approximate Foucault-Planck equation was deduced. The results show that changing the multiplicative color intensity D and the additive color noise intensity Q can lead to the change of the peak height of the steady-state probability distribution curve and the shift of the peak position, which has a drift effect on the probability density distribution However, in the process of increasing D and Q, the direction of the peak of the steady state probability distribution moves in different directions: when D increases, the position of the peak moves to the left, and when Q increases, the position of the peak moves to the right. In addition, when λ> 0, as | λ | increases, the position of the peak of the steady-state probability distribution function moves to the right and the height of the peak becomes larger. When λ <0, , The height of the peak of the steady-state probability distribution function becomes larger, while the position of the peak shifts to the left.