Dynamic behaviors of a single species stage structure system with feedback control
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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.
Share and Cite
ISRP Style
Liyun Lai, Xiangqin Yu, Fengde Chen, Dynamic behaviors of a single species stage structure system with feedback control, Mathematics in Natural Science, 5 (2019), no. 1, 1--12
AMA Style
Lai Liyun, Yu Xiangqin, Chen Fengde, Dynamic behaviors of a single species stage structure system with feedback control. Math. Nat. Sci. (2019); 5(1):1--12
Chicago/Turabian Style
Lai, Liyun, Yu, Xiangqin, Chen, Fengde. "Dynamic behaviors of a single species stage structure system with feedback control." Mathematics in Natural Science, 5, no. 1 (2019): 1--12
Keywords
- Stage structure
- species
- local stability
- Lyapunov function
- global stability
MSC
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