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Start Over Author "Pang, Liuyong" Topic 34c05
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5. Nonlinear modelling of the interaction between phytoplankton and zooplankton with the impulsive feedback control.

Author

Zhao, Zhong, Luo, Chengguang, Pang, Liuyong, and Chen, Ying

Subjects
*NONLINEAR statistical models, *PHYTOPLANKTON, *ZOOPLANKTON, *FEEDBACK control systems, *MATHEMATICAL models, *COMPUTER simulation
Abstract

In this paper, a mathematical model including the phytoplankton and zooplankton with the impulsive feedback control is presented. The sufficient conditions for the existence of the order-1 and order-2 periodic solutions are obtained by using the geometrical theory of semi-continuous dynamic system. The stability of the order-1 periodic solution is discussed by the analogue of the Poincaré criterion. Finally, our results are justified by the numerical simulations. [ABSTRACT FROM AUTHOR]

Published
2016
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