In the paper, we propose several different harvesting patterns, introduce price and cost factor and employ qualitative analysis method to the Lotka-Voterra prey-predator system with density constraint and without density constraint.

• 本文对无密度制约和有密度制约的Lotka-Volterra捕食者-食饵系统，提出了几种不同的捕获模式，引入了价格成本因素，运用定性分析的方法，考虑了以最大纯收益为管理目标的最优捕获策略，以期使其对现实有更强的指导意义。