Abstract: A kind of food-species system in animal husbandry and aquaculture is considered in this paper.Firstly,the dynamics of the system with continuous releasing food and harvesting the species is discussed and the conditions for the existence of the bioeonomic equilibrium is given.With Protryagin s maximum value priciple,the optimal release and harvest is investigated and the optimal level of produce is also give.Finally,the existece of periodic solution for the impulsive management is also discussed.