具毒素浮游生物模型中生长问题——以赤潮异弯藻为例  

The Growth of Plankton Model with Toxin--From the Perspective of Heterosigma Akashiwo

作　　者：赵琛森 杨洪 李成宇 ZHAO Chensen;YANG Hong;LI Chengyu(School of Science,Jiangsu Ocean University,Lianyungang,222005,China;Marine Resources Development Institute of Jiangsu,Jiangsu Ocean University,Lianyungang,222005,China)

机构地区：[1]江苏海洋大学理学院,江苏连云港222005 [2]江苏海洋大学江苏省海洋资源开发研究院,江苏连云港222005

出　　处：《哈尔滨理工大学学报》2024年第1期133-142,共10页Journal of Harbin University of Science and Technology

基　　金：中国博士后基金面上项目(2020M681521);江苏省博士后项目(2021K456C);连云港市博士后科学基金(LYG20210012);江苏省大学生创新创业训练计划一般项目(202111641102Y,202211641079Y);江苏省海洋生物资源与环境重点实验室开放课题(SH20201209);国家自然科学基金面上项目(72174079).

摘　　要：为了研究一类具毒素浮游生物模型中浮游植物的生长问题,首先,浮游植物是以赤潮异弯藻为例,获取相关数据,建立赤潮异弯藻的生长率与影响其生长的3个因素(温度、盐度和光照强度)的多元回归模型,并确定模型中参数。其次,利用常微分方程定性理论,证明了模型解的正性和有界性,并以生长率为参数,分析模型的稳定性。最后,结合已得到对模型的稳定性分析结论,数值模拟定量、具体地描述它的生长情况。总之,考虑环境因素对生长率和毒素释放率的影响,进而影响到生物系统中浮游动植物的数量变化,这对预测浮游生物间的动态变化,以达到预测赤潮爆发的目的,具有指导意义。In order to study the growth of phytoplankton in a toxic plankton model,we first take take the harmful algal bloom species,Heterosigma akashiwo,as an example and establish a multiple regression model between its growth rate and three influencing factors:temperature,salinity,and light intensity based on relevant literature data.The parameters of the model are determined.Secondly,using the theory of qualitative analysis of ordinary differential equations,we prove the positivity and boundedness of the solution of the model and analyze the stability of the model by considering the growth rate as a parameter.Finally,incorporating the obtained stability analysis conclusions,we quantitatively and specifically describe its growth situation with a numerical simulation.In conclusion,taking into account the influence of environmental factors on the growth rate and toxin release rate,and how they in turn affect the population dynamics of planktonic organisms in the biological system.This study has significant guiding implications for predicting the dynamic changes of planktonic organisms and forecasting harmful algal blooms by considering the impact of environmental factors on growth rate and toxin release rate.

关 键 词：赤潮异弯藻 生长率 稳定性 赤潮 

分 类 号：O175.13[理学—数学]