具有一类食饵—捕食收获模型的定性分析

Qualitative Analysis of Prey—predator Model with Harvesting Rate

研究一类具有功能反应函数为χ～(1/2)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明,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.