捕食—被捕食者同时进行捕获具有Holling Ⅲ型功能性反应模型的定性分析

Qualitative analysis of the third kind functional raction model of two species being harvested simultaneously

对食饵种群在密度制约条件下,捕食—被捕食者同时进行捕获的HollingⅢ型功能性反应模型进行了定性分析.利用微分方程定性理论讨论了平衡点的性态,得到了极限环存在的条件.另外,给出了对此系统的两个种群同时进行捕获时得到的最大持续收益的策略.最后,给出了几个简单的例子.

An almost complete qualitative analysis to a preydator-ptey with being harvested simultaneously under type-Ⅲ functional response in dense restrict prey system is given. The quality of the equilibrium in this system is discussed by differential equation qualitative theory, and the conditions of existence of the limit cycles is obtained. In addition, the article offers the tactics of maximum sustainable economic revenue when two species of prey-predator systems are harvested simultaneously. Finally, some brief examples are provided.