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

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...

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Veröffentlicht in:	Advances in difference equations 2016-05, Vol.2016 (1), p.1-22, Article 130
Hauptverfasser:	Liu, Xiangsen, Dai, Binxiang
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Birth Computer simulation Difference and Functional Equations Difference equations Feedback control Functional Analysis Mathematical models Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Stability State feedback Strategy
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Beschreibung
Zusammenfassung:	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.
ISSN:	1687-1847 1687-1839 1687-1847
DOI:	10.1186/s13662-016-0852-0