摘要
给出单种群阶段结构模型,利用脉冲微分方程的比较原理,通过状态反馈和输出反馈对模型变换后的系统进行了脉冲控制.对成年、幼年种群同时捕获,通过状态反馈,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;通过输出反馈得到了相应的结论;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(MSY)为目标的最优捕获策略.
According to the comparative theorem of Impulsive differential equations, the problem of impulsive control for a singe-species model with stage structure is investigated with state-feedback and output-feedback. 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.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第16期151-156,共6页
Mathematics in Practice and Theory
关键词
种群模型
脉冲控制
最优捕获努力量
population model
impulsive differential system
optimal harvesting effort