一类受衰减噪声扰动的单种群模型2-周期解的渐进稳定性

Asymptotic Stability of 2-Cycle Solutions for a Class of Single Population Models Perturbed by Attenuating Noise

本文考虑了一种受衰减噪声扰动的随机单种群模型,在一定的条件下,根据随机差分方程稳定性相关理论,讨论了该模型2-周期解的存在性及渐进稳定性,利用MATLAB进行数值仿真,验证本文所得结论的正确性。

In this paper, a random single population model disturbed by decaying noise is considered. Under certain conditions, according to the stability theory of stochastic difference equations, the existence and asymptotic stability of the 2-cycle solution of the model are discussed. Using MATLAB, numerical simulation is carried out to verify the correctness of the conclusions obtained in this paper.