一类具有非线性密度制约的偏利合作系统  

A Class of Commensalism System with Nonlinear Density Dependence

作　　者：石志高 SHI Zhigao(Teaching and Research Department of Mathematics and Physics,Fujian Jiangxia University,Fuzhou Fujian 350108,China)

机构地区：[1]福建江夏学院数理教研部,福建福州350108

出　　处：《莆田学院学报》2023年第5期19-22,共4页Journal of putian University

摘　　要：研究一类具有非线性密度制约的偏利合作系统,首先分析了系统的平衡点性态,其次给出了系统持久性以及正平衡点全局渐近稳定的结论,最后通过数值仿真验证所得结论是准确的,并给出了生态解释。In this paper,a class of commensalism systems with nonlinear density dependence is studied.Firstly,the equilibrium behavior of the system is analyzed.Secondly,the persistence of the system and the global asymptotic stability of the positive equilibrium are given.Finally,the conclusion is verified to be accurate by numerical simulation,and the ecological explanation is given.

关 键 词：非线性密度制约 偏利合作系统 极限环 数值仿真 

分 类 号：O175.1[理学—数学]