Global attractivity of Nicholson's blowflies system with patch structure and multiple pairs of distinct time-varying delays  

作　　者：Xiaodan Ding 

机构地区：[1]School of Mathematics and Statistics Changsha University of Science and Technology Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha 410114,Hunan,P.R.China

出　　处：《International Journal of Biomathematics》2023年第3期1-21,共21页生物数学学报（英文版）

基　　金：This work was supposed by Jiaxing public welfare research program(2022AD30113).

摘　　要：This paper is intended to investigate a class of Nicholson's blowflies system with patch structure and multiple pairs of distinct time-varying delays,we are interested in finding the infuence of the distinct time-varying delays in the same reproductive function on its asymptotic behavior.By using the theory of functional differential equations,the fluctuation lemma,and the technique of differential inequalities,some new delay-dependent criteria on the global attractivity of the positive equilibrium point are established.In addition,the effectiveness and feasibility of the theoretical achievements are illustrated by some numerical simulations.

关 键 词：Nicholson's blowflies system global attractivity positive equilibrium point patch structure distinct time-varying delays 

分 类 号：O17[理学—数学]