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

作　　者：李佳倩 廖新元[1] 

机构地区：[1]南华大学,数理学院,湖南 衡阳

出　　处：《应用数学进展》2022年第4期2048-2054,共7页Advances in Applied Mathematics

摘　　要：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.

关 键 词：2-周期解 衰减扰动 渐进稳定 数值模拟 

分 类 号：O175[理学—数学]