【摘要】 研究一类具有功能反应的离散食饵-捕食系统,应用差分方程稳定性理论,获得正平衡点局部渐近稳定的充分条件.通过构造适当的Liapunov函数,讨论正平衡点的全局稳定性.运用极值判定法,获得最大经济利润.更多还原

【Abstract】 In this paper,we study a discrete prey-predacious system with functional response. By using the stability theory of difference equations,we obtain the sufficient conditions for partial stability of positive equilibrium point. By constructing a suitable Liapunov function,we discusse the global stability of the positive equilibrium point. By applying the extreme value method,so that it could obtain the maximum economic profit.更多还原