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
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。
Abstract: 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.
文章引用：李佳倩, 廖新元. 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[J]. 应用数学进展, 2022, 11(4): 2048-2054. https://doi.org/10.12677/AAM.2022.114222

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