State feedback impulsive modeling and dynamic analysis of ecological balance in aquaculture water with nutritional utilization rate

摘要

With the development of industry pollution, water bloom caused by nutriment distribution has become a serious problem which has perplexed biologists for a long time. The plankton population increase, which is influenced a lot by nutritional utilization rate, can be expressed best with Q. Cui’s model. The authors carry out a state feedback impulsive model to describe the control of investing fries and harvesting adult fish which is assisted with the plankton population regulation. The existence of order-1 and order-2 periodic solutions are studied, and their stabilities are discussed in addition. In the end, the numerical simulations show some specific cases of periodic solution and their biological meanings are put forward.