湖北民族大学学报（自然科学版）2025，Vol.43Issue(1)：126-132,7.DOI:10.13501/j.cnki.42-1908/n.2025.03.011
一类营养-浮游生物随机模型的平稳分布
Stationary Distribution of a Nutrient-plankton Stochastic Model
摘要
Abstract
To investigate the effects of environmental disturbance,toxin release and hyperbolic mortality on the population dynamics of plankton species,a class of stochastic model with toxin release and hyperbolic mortality for nutrient-phytoplankton-zooplankton was established.Firstly,by applying the theory of stochastic differential equations,the sufficient conditions for the existence and uniqueness of the stationary distribution were derived.Subsequently,numerical examples were provided to further verify the feasibility of the theoretical results.The results indicated that low-intensity white noise allowed for the persistent coexistence of plankton,while toxin release and hyperbolic mortality rates could affect their population density to some extent.The study showed that,in real ecological environments,these factors could be combined to prevent the outbreak of water blooms and red tides.关键词
营养-浮游植物-浮游动物模型/毒素释放/双曲死亡率/白噪声/平稳分布Key words
nutrient-phytoplankton-zooplankton model/toxin release/hyperbolic mortality/white noise/stationary distribution分类
数理科学引用本文复制引用
易凡茹,王清龙..一类营养-浮游生物随机模型的平稳分布[J].湖北民族大学学报（自然科学版）,2025,43(1):126-132,7.基金项目
国家自然科学基金项目(12101211) （12101211）
湖北省自然科学基金项目(2023AFB1095). （2023AFB1095）
