一类包含Lévy跳的随机时滞单种群模型的依分布稳定性

Stability in Distribution of a Stochastic Delay Single-species Model with Lévy Jumps

考虑白噪声和Lévy噪声共同扰动环境,讨论了一类具有离散时滞和分布时滞的自治单种群模型.运用相关理论知识,得出了该模型依分布渐近稳定的充分条件.最后用一个具体的数值模拟验证了理论结果的可行性.

An autonomous single-species model with discrete delays and distributed delays is discussed in the random environment of white noise and Lévy noise. Sufficient condition for the asymptotic stability in distribution of the model is obtained.Finally,a specific numerical example verifies the feasibility of the theoretical results.