Abstract: Based on a nonlinear demand function, we established a  fishery economic model with  multi-agent  completely uncooperative, and discussed the local stability and multi-stability of the system, as well as the influence of related parameters on the local and global dynamics of the system. The  results show that it will help multiple participants obtain better returns when the cost parameters and the price elasticity are small, but  the market demand is large, and the intrinsic growth rate can be effectively controlled within a certain range.

Key words: nonlinear demand function, fishery economy, multi-stability, critical curve, global dynamics