七鳃鳗性别比例变化对生态系统的影响研究  

Effects of Gender Ratio Change on Lampreys Ecosystem

作　　者：甄佳泽 段嘉伟 赵倩 萨和雅[1,3] ZHEN Jiaze;DUAN Jiawei;ZHAO Qian;BSaheya(School of Mathematical Science,Inner Mongolia Normal University,Hohhot,the Inner Mongolia Autonomous Region 010022,China;School of Computer Science and Technology,Inner Mongolia Normal University,Hohhot,the Inner Mongolia Autonomous Region 010022,China;Center for Applied Mathematics Inner Mongolia,Hohhot,the Inner Mongllia Autonomous Region 010022,China)

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022 [2]内蒙古师范大学计算机科学技术学院,内蒙古呼和浩特010022 [3]内蒙古自治区应用数学中心,内蒙古呼和浩特010022

出　　处：《数学建模及其应用》2024年第4期80-85,共6页Mathematical Modeling and Its Applications

基　　金：国家自然科学基金(62161044);内蒙古自然科学基金(2023MS06003,2021GG0140);教育部重点实验室开放课题(2023KFYB06,2023KFGJ03)。

摘　　要：基于七鳃鳗性别比例可变性对生态环境的作用,分别构建了种群影响模型和生态系统评估模型,从种群数量和生态平衡两个角度,分析七鳃鳗性别比例变化对生态系统带来的影响.首先建立改进的Lotka-Volterra种群竞争模型,其次建立多物种耦合关系下的生态动力学模拟模型,并通过内梅罗综合指数对生态系统进行评估,最后通过数值模拟发现七鳃鳗种群性别比例能有效影响浮游生物的数量、七鳃鳗猎捕者和七鳃鳗竞争者的数量,维持生态稳定和生物多样性.This article is based on the effect of ecological environment on the sex ratio of lampreys,and constructs models to assess population impact and ecosystem stability.From the perspectives of population quantity and ecological balance,the impact of changes in the sex ratio of lampreys on the ecosystem is analyzed.First,an improved Lotka-Volterra competition model is established.Then,an ecological dynamics simulation model is established under the coupling of multiple species,and the ecosystem is evaluated using the Nemerow comprehensive index.Finally,through numerical simulation,it is observed that the sex ratio of the lamprey population can significantly influence the number of plankton,the number of lamprey predators and the number of lampreys competitors,and maintain ecological stability and biodiversity.

关 键 词：七鳃鳗 LOTKA-VOLTERRA模型 生态系统稳定性 生态动力学模拟模型 

分 类 号：O29[理学—应用数学]