Nonlinear modelling of the interaction between phytoplankton and zooplankton with the impulsive feedback control

Zhong Zhao, Chengguang Luo, Liuyong Pang and Ying Chen

Chaos, Solitons & Fractals, 2016, vol. 87, issue C, 255-261

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.

Keywords: Plankton; Semi-continuous dynamic system; Order-1 periodic solution; Order-2 periodic solution (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:87:y:2016:i:c:p:255-261

DOI: 10.1016/j.chaos.2016.04.011

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