恐惧和庇护所对捕食系统的影响

A Predator-Prey System with the Impact of Fear and Shelter

建立了一类捕食者受到恐惧,食饵受到庇护所的捕食模型,其中恐惧和庇护所都影响捕食者的捕食率.通过分析所建立捕食模型的动力学性态,得出在捕食者受到恐惧的基础上,对食饵建立庇护所可以改变平衡点的位置及其稳定性.此研究结果对濒危物种的保护有着重要意义.

In this paper,we establish a predator-prey model in which the predator is feared and the prey is sheltered.Both fear and shelter mainly affect the predation rate of the predator.By analyzing the dynamic behavior of the predator-prey model,it is concluded that the position and stability of the equilibrium point can be changed by establishing a shelter for the prey on the basis of the fear of the predator.Moreover,the results are of great significance to the protection of endangered species.