Dynamics analysis of delayed Nicholson-type systems involving patch structure and asymptotically almost periodic environments

ABSTRACT

This paper deals with a class of delayed Nicholson-type systems involving patch structure. First, we prove that the solution of the initial value problem with respect to the addressed system exists globally and is bounded. Second, we employ the contraction fixed point theorem and analytical techniques to establish the existence of a positive asymptotically almost periodic solution and its global attractivity. Finally, an example is arranged to illustrate the effectiveness and feasibility of the obtained results.

KEYWORDS:

• Nicholson-type system
• global attractivity
• patch structure
• asymptotically almost periodic solution

Acknowledgments

The authors would like to express the sincere appreciation to the editor and reviewers for their helpful comments in improving the presentation and quality of the paper.

Disclosure of potential conflicts of interest

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supposed by the Project supported by the Key Research Foundation of Education Bureau of Hunan Province, China (Grant No. 20A345), Hunan Province Cooperative Innovation Center for the Construction and Development of Dongting Lake Ecological Economic Zone and College of Mathematics and Physics, Hunan University of Arts and Science, Changde, P. R. China, and the Hunan University of Arts and Science STIT): Numerical calculation & stochastic process with their applications.