具HollingⅡ类功能反应食饵-捕食者离散系统的捕获策略

Harvest strategy of the prey-predacious discrete system with HollingⅡreaction function

研究一类HollingⅡ类功能反应的两个种群离散系统,得到该系统平衡点稳定性的充分条件.利用Pontryagin最大值原理给出了系统最优捕获策略.

In this paper, two groups discrete system with a Holling II reaction function is studied, and a set of sufficient conditions are obtained for the stability of equilibrium point of the system. Moreover, optimal harvesting policy is obtained by using the Pontryagin＇s maximal principle.