Stationary distribution and extinction of a stochastic nutrient-phytoplankton-zooplankton model with cell size

被引：13

作者：

Zhao, Qiuyue ^{[1
]}

Liu, Shutang ^{[1
]}

Niu, Xinglong ^{[2
]}

机构：

[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China

[2] North Univ China, Sch Elect & Control Engn, Taiyuan, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 07期

基金：

中国国家自然科学基金;

关键词：

cell size; extinction; stationary distribution and ergodicity; Stochastic nutrient-phytoplankton-zooplankton model; PREDATOR-PREY MODEL; DYNAMIC-BEHAVIOR ANALYSIS; PERIODIC-SOLUTION; HOPF-BIFURCATION; BODY-SIZE; ERGODICITY; SYSTEM; DELAY;

D O I：

10.1002/mma.6114

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a stochastic nutrient-phytoplankton-zooplankton model with cell size that represents the interaction between internal mechanism of species and external environment. We first investigate the existence and uniqueness of the global positive solution with positive initial values. Then we construct sufficient conditions for the existence of an ergodic stationary distribution of positive solution. Once more, we find that large noise intensities cause the extinctions of phytoplankton and zooplankton. Finally, numerical simulations are given to verify the correctness of theoretical results.

引用

页码：3886 / 3902

页数：17

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