一类食饵具有常数投放率系统的恢复率

The Recovery Rate of Kind Systems With Constant Stocking Rate of the Prey

在现实的生态系统中,特别当捕食者的密度大或捕食能力强时,人们常采用食饵补充的方式来控制捕食者和食饵种群数量的稳定,以达到生态平衡.本文在Chisholm,R.A.和Filotas,E.研究的捕食—食饵模型基础上,定义了食饵具有常数投放率的捕食系统,讨论了此系统的恢复率与食饵最大容量之间的关系以及投放率对恢复率和预警长度的影响.最后通过算例分析了递减的恢复率作为系统转移的指示器与投放率与食饵最大容量的关系,说明食饵的投放率可增强预警效果.

In practical ecological systems, especially when the density of the predator is large or predatory ability is powerful, people often control the stability of the populations of predators and prey by stocking prey in order to achieve ecological balance. Based on the predator-prey model studied by Chisholm, R. A. and Filotas, E., this paper defined a predator-prey model with constant stocking rate of the prey, and discussed the relationship of the recovery rate and the carrying capacity of the prey as well as the effects of the stocking rate on the recovery rate and warning length. Finally, this paper analyzed the relation between the decreasing recovery rate as a indicator of the system shift and the stocking rate and the carrying capacity of the prey via examples, and showed that the stocking prey can increase effects of the warning.