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。
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 stochastic differential equation.In addition,it was proved that there existed a unique ergodic stationary distribution.Finally,the theoretical results were verified by numerical simulation.
作者
赵宇
魏春金
ZHAO Yu;WEI Chunjin(School of Science,Jimei University,Xiamen 361021,China)
出处
《集美大学学报（自然科学版）》
CAS
2024年第3期253-261,共9页
Journal of Jimei University：Natural Science
基金
国家自然科学基金项目“渣油加氢体系催化剂级配数学模型”(22072057)。
关键词
浮游生物
觅食竞技场
动力学
平稳分布
持久
灭绝
plankton
foraging arena
dynamics
stationary distribution
persistence
extinction
