[1]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.[doi:10.11830/ISSN.1000-5013.202311034]
　CHEN Meixiang,XIE Xizhuang.Dynamics of A n-Dimensional Gilpin-Ayala Competition Model With Seasonal Succession[J].Journal of Huaqiao University(Natural Science),2024,45(3):417-422.[doi:10.11830/ISSN.1000-5013.202311034]
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一类具有季节交替的n维Gilpin-Ayala竞争模型的动力学()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第45卷
期数:
2024年第3期
页码:
417-422
栏目:
出版日期:
2024-05-15

文章信息/Info

Title:
Dynamics of A n-Dimensional Gilpin-Ayala Competition Model With Seasonal Succession
文章编号:
1000-5013(2024)03-0417-06
作者:
陈梅香;  谢溪庄
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
CHEN Meixiang;  XIE Xizhuang
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
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
Keywords:
seasonal succession;  Gilpin-Ayala competition model;  periodic solution;  Poincaré mapping;  carrying simplex
分类号:
O175.13
DOI:
10.11830/ISSN.1000-5013.202311034
文献标志码:
A
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Rn+中的所有非平凡轨道。
Abstract:
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 Rn+ of the system.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2023-11-03
通信作者: 陈梅香(1984-),女,讲师,博士,主要从事应用与计算数学的研究。E-mail:mxchen@hqu.edu.cn。
基金项目: 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)
更新日期/Last Update: 2024-05-20