华侨大学学报（自然科学版）2024，Vol.45Issue(3)：417-422,6.DOI:10.11830/ISSN.1000-5013.202311034
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
摘要
Abstract
A type of n dimensional Gilpin-Ayala competition models with seasonal succession are studied.U-sing 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 at-tracts all nontrivial orbits in Rn+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Key words
seasonal succession/Gilpin-Ayala competition model/periodic solution/Poincaré mapping/carry-ing simplex分类
数理科学引用本文复制引用
陈梅香,谢溪庄..一类具有季节交替的n维Gilpin-Ayala竞争模型的动力学[J].华侨大学学报（自然科学版）,2024,45(3):417-422,6.基金项目
国家自然科学基金面上基金资助项目(11871231) （11871231）
福建省自然科学基金面上基金资助项目(2022J01305) （2022J01305）
