一类具有季节交替的n维连续时间Leslie/Gower竞争模型  

An n-dimensional Continuous-time Leslie/Gower Competitive Model with Seasonal Succession

作　　者：陈梅香[1] 谢溪庄 CHEN Meixiang;XIE Xizhuang(School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China)

机构地区：[1]华侨大学数学科学学院,泉州362021

出　　处：《应用数学学报》2022年第5期665-672,共8页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(11871231);福建省自然科学基金面上项目(2022J01305)资助。

摘　　要：本文构造并研究了一类具有季节交替的n维连续时间Leslie/Gower竞争模型.我们先分析了该模型在一维情形的完整动力学.再利用Diekmann,Wang和Yan发展的离散竞争映射的负载单形理论,证明了该系统存在一个(n-1)维的吸引R~n上所有非平凡轨道的负载单形.In this paper,we construct and consider an n-dimensional continuous-time Leslie/Gower competitive model with seasonal succession.Firstly,we analyze the complete dynamics of one-dimensional case.By using the theory of carrying simplex of competitive maps developed by Diekmann,Wang and Yan,we prove that the n-dimensional system admits an(n-1)-dimensional carrying simplex which attracts every nontrivial orbit in R.

关 键 词：季节交替 Leslie/Gower竞争模型 负载单形 POINCARÉ映射 

分 类 号：O175.13[理学—数学]