Global attractivity of a single species stage-structured model with feedback control and infinite delay

Rongyu Han, Liya Yang, Yalong Xue

Abstract


In this paper, a single species stage-structured model with feedback control and infinite delay is considered in this paper. By applying the comparison theorem of differential equations, sufficient condition is obtained for the extinction of the system; By using an iterative method, sufficient condition is obtained for the global asymptotic stability of the positive equilibrium of the model. Our results show that the death rate of mature species plays important role on the persistent and stability property of the system.

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Published: 2015-03-20

How to Cite this Article:

Rongyu Han, Liya Yang, Yalong Xue, Global attractivity of a single species stage-structured model with feedback control and infinite delay, Commun. Math. Biol. Neurosci., 2015 (2015), Article ID 6

Copyright © 2015 Rongyu Han, Liya Yang, Yalong Xue. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

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