Abstract:
Based on the sustainable development concept of "first water conserving before fish raising", a kind of aquatic producer-consumer management system with target income oriented was established by using differential algebraic equation. The existence, stability of positive equilibrium and Hopf bifurcation were discussed. The results showed that there is a threshold value for the target income, all kinds of resources in the system will coexist when the expected target income is less than that threshold. When the expected return is greater than the threshold, the system will exhibit periodic shocks.