具反馈控制单种群食物有限模型稳定性研究

摘要

In this paper, a single species food limited population model with feedback control is studied. We first investigate the local stability property of the equilibrium of the system, next, by applying Bendixson-Dulac criterion, we are able to show that the unique positive equilibrium is global stability.%研究具有反馈控制的食物有限模型．首先探讨了该系统的平衡点的局部稳定性态，其次借助于Bendixson-Dulac判别法证得系统不存在闭轨线，由此知系统的正平衡点是全局吸引的．