| 一类近似循环系数的互惠共生n种群Volterra系统的稳定性 |
| |
| 引用本文： | 刘兴臻.一类近似循环系数的互惠共生n种群Volterra系统的稳定性[J].广州师院学报,1999,20(5):56-60. |
| |
| 作者姓名： | 刘兴臻 |
| |
| 作者单位： | 广州教育学院数学系510030 |
| |
| 摘 要： | 本文利用线性化方法和Liapunov函数的方法研究了一类的似循环系数的互惠共生n种群Volterra系统的稳定性，得出一个简单的结论，即系统若存在正平衡点，则它一定是全局稳定的，从系统的模型上推广了前人的成果。
|
| 关 键 词： | 互惠共生 Volterra系统 局部渐近稳定 全局渐近稳定 Liapunov函数 种群 循环系数 |
The stability of n species volterra system on mutualism with approximative recurrent coefficients |
| |
| Authors: | Liu Xingzhen |
| |
| Abstract: | In this paper, the stability of the positive equilibrium of n species Volterra system on mutualism with approximative recurrent coefficients is discussed with the technique of linearization and the method of Liapunov function. Result shows that the positive equilibrium is absolute global asymptotic stability as long as the positive equilibrium of the system is subsistent. |
| |
| Keywords: | mutualism Volterra system local asymptotic stability global asymptotic stability Liapunov function |
| 本文献已被 CNKI 维普 等数据库收录！ |
