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时标上带有反馈控制的非自治两种群竞争系统的概周期解
  • ISSN号：1003-3998
  • 期刊名称：《数学物理学报：A辑》
  • 时间：0
  • 分类：O175.13[理学—数学;理学—基础数学]
  • 作者机构：[1]玉溪师范学院数学系,云南玉溪653100, [2]东南大学数学学院,南京210096, [3]Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia, [4]Nonlinear Analysis and Applied Mathematics Research Group, Department of Mathematics,King Abdulaziz University, Jeddah 21589, Saudi Arabia, [5]Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  • 相关基金：国家自然科学基金（61272530,11072059）、江苏省自然科学基金（BK2012741）、云南省自然科学基金（2014FD049）和玉溪师范学院青年教师支持计划
作者： 李周红[1], 张丰硕[1], 曹进德[2,3], Alsaedi Ahmed[4], Alsaadi Fuad E[5]
关键词： 概周期解, 持久, 竞争系统, 反馈控制, 时标, Almost periodic solution, Permanence, Competitive model, Feedback controls, Time scales.
中文摘要：

该文利用时标理论，研究了一类时标上带有反馈控制的非自治两种群竞争系统．首先应用微分不等式和比较原理得到了系统的持久性，在此基础上，构造了一个合适的Lyapunov泛函，得到系统存在概周期解的充分条件．进一步，应用一个例子的数值模拟验证了该文结果的有效性．

英文摘要：

In this paper, applying the time scales calculus theory, we first study the permanence for a non-autonomous two species competitive system with feedback controls on time scales. Based on the permanence result, by the comparison theorems of the differential equation and constructing a suitable Lyapunov functional, we establish sufficient conditions on the existence of almost periodic solution of the considered system. Moreover, an example along with its numerical simulation is employed to illustrate effectiveness of our main results.

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期刊信息
  • 《数学物理学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院武汉物理与数学研究所
  • 主编：李邦河 陈贵强 朱熹平
  • 地址：湖北省武汉市武昌小洪山西路30号武汉71010信箱
  • 邮编：430071
  • 邮箱：actams@wipm.ac.cn
  • 电话：027-87199206
  • 国际标准刊号：ISSN：1003-3998
  • 国内统一刊号：ISSN：42-1226/O
  • 邮发代号:38-214
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:5382