Stationary distribution of a stochastic hybrid phytoplankton model with allelopathy

被引：5

作者：

Ji, Weiming ^{[1
]}

Wang, Zhaojuan ^{[1
]}

Hu, Guixin ^{[2
]}

机构：

[1] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Peoples R China

[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Phytoplankton model; Allelopathy; Random perturbations; Stability; 60H10; 60H30; 92D25; ASYMPTOTIC PROPERTIES; PLANKTON;

D O I：

10.1186/s13662-020-03088-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This research proposes and delves into a stochastic competitive phytoplankton model with allelopathy and regime-switching. Sufficient criteria are proffered to ensure that the model possesses a unique ergodic stationary distribution (UESD). Furthermore, it is testified that these criteria are sharp on certain conditions. Some critical functions of regime-switching on the existence of a UESD of the model are disclosed: regime-switching could lead to the appearance of the UESD. The theoretical findings are also applied to research the evolution of Heterocapsa triquetra and Chrysocromulina polylepis.

引用

页数：15

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