| 一类具有常数投放率的Kolmogorov系统的定性分析 |
| |
| 引用本文： | 娄必伟.一类具有常数投放率的Kolmogorov系统的定性分析[J].贵州大学学报(自然科学版),1992,9(1):8-14. |
| |
| 作者姓名： | 娄必伟 |
| |
| 作者单位： | 贵州大学数学系 贵阳 |
| |
| 摘 要： | 本文讨论了一类具有常数投放率的Kolmogorov系统(Ⅰ),在第一象限得到了可行平衡点的全局稳定性、正平衡点的全局稳定性条件以及围绕正平衡点极限环的存在唯一性,推广了6]中的结论,并对所得结论给予了生物解释。
|
| 关 键 词： | 柯氏系统 极限环 常数投放率 |
Qualitative Analysis of a Class of Kolmogorov's System with Constant Stocking Rate |
| |
| Lou Biwei.Qualitative Analysis of a Class of Kolmogorov''''s System with Constant Stocking Rate[J].Journal of Guizhou University(Natural Science),1992,9(1):8-14. |
| |
| Authors: | Lou Biwei |
| |
| Institution: | Lou Biwei Department of mathematics,Guizhou Universily,Guiyang 550025 |
| |
| Abstract: | This paper deals with a class of kolmogorov's differential system (I) with constant stocking rate. In first quadrant, we have the global stability of possible equilibrium point, and the condition of global stability of positive equilibrium point, and the existence and uniqueness of limit cycle surrounding the positive equilibrium point, and therefore generalize the conclusions in 6], and give bio- logical interpretation to our results. |
| |
| Keywords: | Constant stocking rate Kolmogorov's system Stability Eqilibrium point Limit cycle |
| 本文献已被 CNKI 维普 等数据库收录！ |
