基于相平面分析一类趋化模型解的存在性研究  

Study on the Existence of Solutions for a Class of Chemotactic Models Based on Phase Plane Analysis

作　　者：夏鹏 XIAPeng(Wuxi Tourism and Commerce Branch,Jiangsu Union Technical Institute,Wuxi,Jiangsu 214045,China)

机构地区：[1]江苏联合职业技术学院无锡旅游商贸分院,江苏无锡214045

出　　处：《焦作大学学报》2023年第3期59-61,共3页Journal of Jiaozuo University

基　　金：江苏省陶行知研究会一般课题(JSTY14257);江苏联合职业技术学院无锡旅游商贸分院专项课题(WXLS/ZX/2022/03)。

摘　　要：通过相平面分析方法推导出了一类趋化模型解存在满足的条件,并且验证了得到的条件与利用偏微分方程线性理论得到的条件一致,最后通过控制变量法,从数值上验证了理论的正确性。The conditions for the existence of solutions to a class of chemotaxis models were derived using the phase plane analysis,while the consistency between the obtained conditions and those obtained using linear theory of partial differential equations was verified.Finally,the correctness of the theory was numerically verified through the control variable method.

关 键 词：相平面分析 趋化模型 存在性 

分 类 号：O193[理学—数学]