一类具有Allee效应和庇护效应的捕食系统模型

摘要

The predator-prey model with Allee effect and refuge effect was discussed by the differential e-quation qualitative theory. The properties of equilibrium was analysed and the sufficient condition of existence and uniqueness of the limit cycle was obtained.%通过微分方程定性稳定性理论,研究了一类具有Allee效应和庇护效应的捕食系统模型,分析了平衡点的性态,得到了正平衡点不稳定时极限环存在惟一的充分条件.