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.
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.
作者
李周红
张丰硕
曹进德
Alsaedi Ahmed
Alsaadi Fuad E
Li Zhouhong Zhang Fengshuo Cao Jinde Alsaedi Ahmed Alsaadi Fuad E(Department of Mathematics, Yuxi Normal University, Yunnan Yuxi 653100, China School of Mathematics, Southeast University, Nanjing 210096, China Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia Nonlinear Analysis and Applied Mathematics Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia)
出处
《数学物理学报（A辑）》
CSCD
北大核心
2017年第4期730-750,共21页
Acta Mathematica Scientia
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)
玉溪师范学院青年教师支持计划~~
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.
