This paper focuses on stochastic nutrient-phytoplankton (NP) ecological model under regime switching and complements the findings in [26]. A characterization of the asymptotic behavior of the system under consideration is provided. It is shown that the long-term properties of the NP ecological model can be classified by using a real-valued parameter λ, which can be obtained by solving a system of linear equations. If λ < 0, the phytoplankton will die out. If λ > 0, the system has an invariant probability measure and the transition probability of the solution process converges to that of the invariant measure. The rate of convergence is also obtained. Numerical examples are also given to illustrate our new findings.

本文关注制度转换下的随机营养浮游植物（NP）生态模型，并对[26]中的发现进行了补充。提供了所考虑系统的渐近行为的表征。结果表明，可以通过使用实值参数λ来分类NP生态模型的长期属性，该参数可以通过求解线性方程组来获得。如果λ  <0，浮游植物将消失。如果λ  > 0，则系统具有不变概率度量，并且求解过程的转移概率收敛于不变度量。还可以获得收敛速度。数值例子也说明了我们的新发现。