一类离散捕食-食饵系统的最优捕获策略

Optimal harvest policy for a class of discrete predator-prey system

对一类离散的具有双密度制约的捕食-食饵系统的捕获策略进行了研究,应用差分方程稳定性理论得到了该系统正平衡点的存在性和稳定性的条件.为获得最大的经济效益,应用二次函数的理论讨论了在捕获努力量不同的情况下,应如何控制食饵种群及捕食者种群捕获努力量的大小,以获得在维持稳定捕获前提下的最优捕获策略,为实际生产提供了理论指导.

In this paper, the capture strategy of a class of constraints with dual-density discrete predator-prey system is discussed,the stability theory of differential equations to obtain the conditions of the existence and stability of equilibrium point is applied. In order to obtain maximum economical benefit, uses the theory of quadratic function to discuss how to control the amount of capture under different circumstances of amount to get the optimal harvesting strategy under the premise of the maintenance of stability, provides a theoretical direction for the actual production.