Dynamic behaviors of a single species stage structure system with feedback control

Volume 5, Issue 1, pp 1--12 http://dx.doi.org/10.22436/mns.05.01.01
Publication Date: August 21, 2019 Submission Date: January 25, 2019 Revision Date: May 08, 2019 Accteptance Date: May 11, 2019

Authors

Liyun Lai - College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian, 350116, P. R. China. Xiangqin Yu - College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian, 350116, P. R. China. Fengde Chen - College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian, 350116, P. R. China.


Abstract

A single species stage structure system with feedback control is proposed and studied in this paper. Local and global stability property of the boundary equilibrium and the positive equilibrium are investigated, respectively. If the original system is globally stable, then we show that the feedback control only change the position of the unique positive equilibrium and retain the stable property. If the original system is extinct, then we show that the system with feedback control is also extinct. Some examples are presented to verify our main results.


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