Electron. J. Differential Equations, Vol. 2020 (2020), No. 61, pp. 1-17.
Asymptotically almost periodicity of delayed Nicholson-type system
involving patch structure
Chuangxia Huang, Jiafu Wang, Lihong Huang
Abstract:
In this article we study a delayed Nicholson-type system involving
patch structure. We apply differential inequality techniques to establish
a sufficient condition for the existence of positive asymptotically
almost periodic solutions. By constructing suitable Lyapunov functions,
we obtain a new criterion for the uniqueness and global attractivity of the
asymptotically almost periodic solutions.
Submitted July 19, 2019. Published June 16, 2020.
Math Subject Classifications: 34C25, 34K13, 34K25.
Key Words: Nicholson-type system; global attractivity; patch structure;
asymptotically almost periodic solution.
DOI: 10.58997/ejde.2020.61
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Chuangxia Huang
School of Mathematics and Statistics
Changsha University of Science and Technology
Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering
Changsha, Hunan 410114, China
email: cxiahuang@amss.ac.cn
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Jiafu Wang
School of Mathematics and Statistics
Changsha University of Science and Technology
Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering
Changsha, Hunan 410114, China
email: jfwang@csust.edu.cn
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Lihong Huang
School of Mathematics and Statistics
Changsha University of Science and Technology
Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering
Changsha, Hunan 410114, China
email: lhhuang@csust.edu.cn
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