一类具有季节交替的n维Gilpin-Ayala竞争模型的动力学  

Dynamics of A n-Dimensional Gilpin-Ayala Competition 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,福建泉州362021

出　　处：《华侨大学学报（自然科学版）》2024年第3期417-422,共6页Journal of Huaqiao University(Natural Science)

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

摘　　要：研究一类具有季节交替的n维Gilpin-Ayala竞争模型。利用单调动力系统的理论,当n=1时,系统存在着阈值动力学。根据离散竞争映射的负载单形理论,证得n维系统存在一个(n-1)维的负载单形。结果表明:(n-1)维的负载单形吸引了系统在R^(n)_(+)中的所有非平凡轨道。A type of n dimensional Gilpin-Ayala competition models with seasonal succession are studied.Using the theory of monotonic dynamical systems,when n=1,the system has threshold dynamics.Using the theory of carrying simplex of discrete competitive mappings,the existence of a(n-1)dimensional carrying simplex in the n dimensional system is proved.The result shows that(n-1)dimensional carrying simplex attracts all nontrivial orbits in R^(n)_(+)of the system.

关 键 词：季节交替 Gilpin-Ayala竞争模型 周期解 庞加莱映射 负载单形 

分 类 号：O175.13[理学—数学]