摘要
研究了一类具功能反应函数的食饵-捕食两种群生物系统的定性性质。利用Dulac判别定理,Poincare-Bendixson环域定理等,得到了该系统解的有界性,正平衡点的稳定性和至少存在一个极限环的充分条件。所得结果推广了已有文献的结论。
The qualitative behavior of two-dimensional predator-prey biological systems with functional response is studied. The sufficient conditions for the bounded solution of the system, the stability of the positive equilibrium and the existence of at least one limit cycle are obtained by means of Dulac and Poincare-Bendixson theorem. The results extend the known literature findings.
出处
《湖南工业大学学报》
2012年第4期4-7,共4页
Journal of Hunan University of Technology
关键词
极限环
定性分析
食饵-捕食系统
limit cycle
qualitative analysis
prey-predator system
