The dynamics of a stage structure population model with fixed-time birth pulse and state feedback control strategy

Advances in Difference Equations

Binxiang Dai¹  Xiangsen Liu² 

[1] Department of Mathematics, North University of China, Taiyuan, P.R. China;School of Mathematics and Statistics, Central South University, Changsha, P.R. China

关键词: stage structure;    birth pulse;    state feedback control strategy;    periodic solution;    permanence;   

DOI  :  10.1186/s13662-016-0852-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study a stage structure population model with fixed-time birth pulse and state feedback control strategy. The stability of the trivial solution and the existence of periodic solutions are investigated. Sufficient conditions for the permanence of the system are obtained. Furthermore, some numerical simulations are given to illustrate our results. The superiority of the mixed control strategy is also discussed.

【 授权许可】

CC BY