Abstract

A kind of fishery model with constant harvesting and state feedback control is considered. Firstly, the existence and stability of the system without impulsive effects are discussed. Secondly, for the case in which the system has two equilibria, the conditions for the existence of order-1 period solution and order-1 homoclinic orbit are obtained by the geometry theory and the successor function method. Finally, the conditions for the orbital stability of order-1 periodic solution are given by the analogue of Poincare criterion.

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