| 一类具有Beddington - DeAngelis功能反应的离散竞争系统的概周期解 |
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| 引用本文： | 张杰华,王清娟.一类具有Beddington - DeAngelis功能反应的离散竞争系统的概周期解[J].延边大学理工学报,2021,0(2):105-110. |
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| 作者姓名： | 张杰华 王清娟 |
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| 作者单位： | (1.阳光学院, 福建 福州 350015; 2.福建省湄洲湾职业技术学校, 福建 莆田 351254) |
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| 摘 要： | 针对一类具有Beddington - DeAngelis功能反应的离散竞争系统,运用差分不等式和通过构造适当的Lyapunov函数,证明了该系统具有持久性和全局吸引性.利用差分概周期方程的壳理论,得到了保证该系统存在唯一的概周期解的充分条件.所得结果补充了文献3]和文献4]的工作.
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| 关 键 词： | 离散竞争系统 概周期解 全局吸引性 持久性 |
Almost periodic solutions of a discrete competitive system with Beddington - DeAngelis functional response |
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| ZHANG Jiehua,WANG Qingjuan.Almost periodic solutions of a discrete competitive system with Beddington - DeAngelis functional response[J].Journal of Yanbian University (Natural Science),2021,0(2):105-110. |
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| Authors: | ZHANG Jiehua WANG Qingjuan |
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| Affiliation: | (1.Yango University, Fuzhou 350015, China; 2.Fujiansheng Meizhouwan Vocational Technology School, Putian 351254, China) |
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| Abstract: | A class of discrete competition system with Beddington - DeAngelis functional response is studied in this paper. By applying the difference inequality theory and constructing the suitable Lyapunov functional, we show that the system is permanent and globally attractive. Further, by using almost periodic functional hull theory, sufficient conditions which guarantee the existence of a unique global attractive positive almost periodic sequence solution of the system. The results supplement the literature 3] and 4]. |
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| Keywords: | discrete competition system almost periodic solution global attractive permanence |
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