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Existence and stability of periodic solution of a stage-structured model with state-dependent impulsive effects

✍ Scribed by Linfei Nie; Zhidong Teng; Lin Hu

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 431 KB
Volume: 34
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1468

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✦ Synopsis

Communicated by M. Grinfeld

A single population growth model with stage-structured and state-dependent impulsive control is proposed. By using the Poincaré map and the analogue of Poincaré's criterion, we prove the existence and the stability of positive order-1 or order-2 periodic solution. Moreover, we show that there is no periodic solution with order greater than or equal to three. Numerical results are carried out to illustrate the feasibility of our main results and the superiority of state feedback control strategy is also discussed.

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