基于首次积分和向量场的二维Lotka-Volterra系统的稳定性

Stability of a two-dimensional Lotka-Volterra system with first integral and vector field

为研究二维Lotka-Volterra系统平衡点的稳定性问题,利用首次积分和向量场给出了平衡点一致稳定的充分条件,同时将结论推广到一般的二维系统中,并用实例验证了本文结论的有效性.

To study the stability for two-dimensional Lotka-Volterra,the sufficient condition of the stability for two-dimensional Lotka-Volterra system was given by using first integral and vector field.Then the conclusion was extended to general two-dimensional systems and the effectiveness was verified by an example.