研究一类具有功能反应函数为 的食饵—捕食系统的收获模型，应用微分方程的定性理论分析证日月，得到了系统平衡点在全局下是稳定的，及极限环的不存在性．%This paper studies a prey-predator model based on a class of function-response functions ,and proves that the stability of balance point in the global system and the nonexistence of limit cycles.
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