一类基于捕食者-食饵种间比率的Kolmogorov模型分析

Kolmogorov Model based on the Ratio of Predator-Prey

本文研究一类基于捕食者和食饵比率的Kolmogorov方程模型。以古尔班通古特沙漠中梭梭和大沙鼠种间关系为原型,建立了考虑比率在一定范围内捕食者对食饵具有刺激生长作用的Kolmogorov方程模型,分析了其正平衡点的稳定性,给出了其稳定的充分条件。

A ratio-dependent predator-prey Kolmogorov equation model was studied in this paper. Originated from the relationship of Haloxylon ammodendron and Rhombinys opimus in Gurbantong Desert,and a Kolmogorov equation model considering the predator stimulated the prey＇s growth in certain ratio range was established;its positive banlance points were analyzed and sufficient conditions of the points＇ stability were derived.