基于年龄结构的种群系统的最优收获控制

Optimal Harvesting for a Population System Based on Age-Structure

研究一类带年龄结构的非线性种群系统的最优收获问题.建立单种群阶段结构模型,对成年、幼年种群同时捕获,得到了单种群阶段结构模型在正平衡点渐近稳定的充分条件;并给出了脉冲控制时间间隔的上界估计值.分别对其幼年种群和成年种群捕获问题,给出以最大捕获可持续均衡收获(M SY)为目标的最优捕获策略.

We study the optimal harvesting problem for a class nonlinear population system. A singe-species model with stage structure is built. By harvesting mature population and immature population, a sufficient condition which guarantees the asymptotical stability of the positive equilibrium is established with state-feedback. The corresponding result is obtained with output-feedback. For the impulsive controls which make the system asymptotically stable, the estimates of the upper bound of impulsive interval are obtained. It mainly studies the optimal harvesting policy of the single specie with age distribution when two stages are harvested respectively.