庇护与收获效应的广泛Holling型捕食模型

Dynamical consequences of Holling type predator-prey system incorporating prey refuges and harvesting

研究了具有广泛Holling型功能反应捕食—食饵模型的动态行为.不仅考虑食饵的庇护所效应,同时还考虑了两种群的独立收获效应.讨论了模型的平衡点的存在性,并证明全局稳定性、极限环存在性以及两种群长期续存的条件,最后给出了模型的最优收获策略.

The dynamical behavior of a Holling type predator-prey system incorporating refuges used by prey and independent harvesting in their species were investigated in this paper.The existence of equilibrium of the system was examined.The global stability of equilibrium points in the first quadrant,equilibrium density values,and the long-term persistence of the populations have been considered.The optimal harvesting policy was also studied.