一类具有线性收获率的生物捕食系统的定性分析

摘要

对一类两种群均有线性收获率的具HollingII 类功能反应的食饵-捕食系统作定性分析，利用常微分方程定性，稳定性及分支理论，得到此类生物捕食系统的平衡点的性态和极限环的存在，不存在的条件，从而对更具一般性的一类具有非常数收获率的食饵-捕食系统作了较为全面的定性分析，补充完善了前人的结果。%A qualitative analysis of a kind of food-predator systemes with Holling II functional resonse and linear harvesting rates is considered.By Qualitative and stability theory of Differential Equations, the quality of the equilibrium is discussed,the Conditions of existence and nonexistence of the limit cycle in this system are obtained.A more comprehensive qualitative analysis of a more general kind of food-predator systemes with larvesting rates is considered, the conclusion is renewed.