| 一类分数阶捕食模型的稳定性 |
| |
| 引用本文： | 黄郑,程媛媛,蒋威.一类分数阶捕食模型的稳定性[J].合肥联合大学学报,2013(1):8-11. |
| |
| 作者姓名： | 黄郑 程媛媛 蒋威 |
| |
| 作者单位： | 安徽大学数学科学学院,合肥230601 |
| |
| 基金项目： | 国家自然科学基金项目（11071001）、高校博士点专项科研基金（20093401110001）、安徽省高校重大项日（KJ2010ZD02）、安徽大学青年科学研究基金项目（KJQN1001）资助. |
| |
| 摘 要： | 主要研究了一类分数阶Volterra—Lotka捕食模型的渐近稳定性，通过Krasovskii方法构造出Lyapunov函数，证明了捕食模型在一定条件下的渐近稳定性．该方法不需要求解方程，克服了求解方程的复杂与困难，取得了良好的效果．
|
| 关 键 词： | 分数阶微分方程 渐近稳定性 Lyapunov函数 |
The Asymptotic Stability of a Class of Fractional Order Predator-prey Model |
| |
| Authors: | HUANG Zheng CHENG Yuan-yuan JIANG Wei |
| |
| Institution: | (School of Mathematical Sciences,Anhui University, Hefei 230601, China) |
| |
| Abstract: | A class of fractional differential equation of predator-prey is researched in this paper. The asymptotic stability of fractional differential equation is proved under certain conditions by a Lyapunov function which is established by Krasovskii method. The method does not require solving equations and overcome the complexity and difficulty of solving equations, and achieved good results. |
| |
| Keywords: | fractional differential equation asymptotic stability Lyapunov function |
| 本文献已被 维普 等数据库收录！ |
