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Considering how to exploit the lake resource reasonably, we propose a phytoplankton–fish model with the impulsive feedback control and investigate the sufficient conditions for the existence of the order-1 periodic… Click to show full abstract
Considering how to exploit the lake resource reasonably, we propose a phytoplankton–fish model with the impulsive feedback control and investigate the sufficient conditions for the existence of the order-1 periodic solution by means of successor function. The stability of the order-1 periodic solution is discussed by a novel stability criterion on the basis of the stability theory of limit cycle. Furthermore, harvesting profit is maximized by using Pontryagin’s maximum principle subject to the impulsive feedback control. Finally, our results are justified by some numerical simulations.
Journal Title: Nonlinear Dynamics
Year Published: 2017
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