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一类具收获率的功能性反应自抑制三种群模型定性分析

A kind of Functional Recovery of Reaction from the Inhibition of Three Population Model Qualitative Analysis

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【Author】 ZHANG Hui-fang;YU Jun;REN Jun;CHENG Chuan-yin;Department of Basic Qualities,Yangzhou Polytechnic Institute;School of Sciences,Nanjing University of Science and Technology;Department of Physical Education,Yangzhou Polytechnic Institute;School of Physical Education,Nanjing Normal University;

【机构】扬州工业职业技术学院基础科学部；南京理工大学理学院；扬州工业职业技术学院体育部；南京师范大学体育科学学院；

【摘要】研究了一类具收获率的功能性反应自抑制三种群捕食模型,运用微分方程稳定性理论,确定了捕食系统模型的平衡点存在的条件和性态,得到了系统正平衡点渐近稳定条件,并且分析了平衡点的全局稳定性及系统持续生存的条件.最后利用Matlab软件进行了数值模拟验证.更多还原

【Abstract】 For a class of functional recovery of reaction from inhibition of three species predator-prey model,using the theory of differential equation stability,determine the existence condition of the equilibrium point of the predator-prey system model and the characteristic,the system is asymptotically stable balance condition,and the global stability of the equilibrium point is analyzed and the system’s continued survival conditions.Finally,numerical simulation are carried out using Matlab software validation.更多还原

【关键词】收获率； HollingⅡ功能反应函数；自抑制；稳定性；全局；
【Key words】 harvest rate； hollingiifunctional response； since the inhibition； the stability； overall situation；

【基金】江苏省教育科学“十二五”规划2015年度重点课题(T-b/2015/003)

【文献出处】数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2016年18期

【分类号】O175
【下载频次】67

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