具有Holling Ⅳ型功能反应函数的Leslie型捕食-被捕食系统的焦点量  

Focal value of Leslie predator-prey system with Holling type Ⅳ functional response function

作　　者：张金磊 孙福芹[1] 刘朋燕 ZHANG Jinlei;SUN Fuqin;LIU Pengyan(School of Science,Tianjin University of Technology and Education,Tianjin 300222,China)

机构地区：[1]天津职业技术师范大学理学院,天津300222

出　　处：《高师理科学刊》2022年第11期16-21,共6页Journal of Science of Teachers＇College and University

基　　金：天津市教委科研计划项目(2021KJ007)。

摘　　要：研究具有Holling typeⅣ型功能反应函数的Leslie型捕食-被捕食系统.通过参数变换等数学方法化简所研究的数学模型,并应用形式级数法对该系统的平衡点类型进行判定,从而确定细焦点的阶数.为了更好地提高研究的准确性,采用MatLab等数学软件对研究的系统进行辅助计算,结合计算结果进行理论分析,进一步推出研究的平衡点是一个不稳定的二重细焦点.The Leslie predator-prey system with Holling typeⅣfunctional response function is studied.The mathematical model is simplified by mathematical methods such as parameter transformation,and then the type of equilibrium point of the system is determined by formal series method,so as to determine the order of weak focus.In order to better improve the accuracy of the research,Matlab and other mathematical software are used to assist the calculation of the research system.Combined with the theoretical analysis of the calculation results,it is further deduced that the research equilibrium point is an unstable weak focus with multiplicity two.

关 键 词：Leslie型捕食-被捕食系统 细焦点阶数 形式级数法 功能反应函数 

分 类 号：O175[理学—数学]