集美大学学报(自然科学版)2024,Vol.29Issue(3) :253-261.DOI:10.19715/j.jmuzr.2024.03.08

觅食竞技场下浮游生物模型的动力学行为

Dynamics Behavior of the Plankton Model in Foraging Arena

赵宇 魏春金
集美大学学报(自然科学版)2024,Vol.29Issue(3) :253-261.DOI:10.19715/j.jmuzr.2024.03.08

觅食竞技场下浮游生物模型的动力学行为

Dynamics Behavior of the Plankton Model in Foraging Arena

赵宇 1魏春金1
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作者信息

  • 1. 集美大学理学院,福建 厦门 361021
  • 折叠

摘要

主要讨论觅食竞技场下浮游生物的动力学行为.证明对于任意给定的正初始值,系统都存在唯一的全局正解;应用随机微分方程的比较定理,得到系统持久与灭绝的充分条件,并且证明系统具有一个唯一的遍历平稳分布.最后,用数值模拟验证了理论结果.

Abstract

In this paper,the dynamics behavior of a plankton model in foraging arena were investigated.Firstly,it was proved that there was a unique global positive solution starting from the positive initial value.Then,sufficient conditions for extinction and persistence in mean were obtained by comparison theorem for sto-chastic differential equation.In addition,it was proved that there existed a unique ergodic stationary distribu-tion.Finally,the theoretical results were verified by numerical simulation.

关键词

浮游生物/觅食竞技场/动力学/平稳分布/持久/灭绝

Key words

plankton/foraging arena/dynamics/stationary distribution/persistence/extinction

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基金项目

国家自然科学基金项目(22072057)

出版年

2024
集美大学学报(自然科学版)
集美大学

集美大学学报(自然科学版)

影响因子:0.293
ISSN:1007-7405
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