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一类分数阶Volterra-Lotka捕食方程渐近稳定性分析 被引量：2

The analysis of asymptotic stability on a fractional differential equation of Volterra-Lotka predator-prey
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摘要 通过对一类分数阶Volterra-Lotka捕食方程模型的研究,并利用Krasovskii方法构造出Lyapunov函数,证明了分数阶Volterra-Lotka捕食方程在一定条件下的渐近稳定性。例子仿真说明了充分条件的有效性。 A class of Volterra-Lotka predator-prey fractional equation model is studied with the application of Krasoyskii method,a Lyapunov function is constructed.Therefore,the fractional equation of Volterra-lotka predator is asymptotic stable,which is proved under certain conditions.At last,the simulation of examples show the conditions for the effectiveness.
作者 夏述
机构地区 桂林电子科技大学数学与计算科学学院
出处 《桂林电子科技大学学报》 2010年第6期597-599,共3页 Journal of Guilin University of Electronic Technology
基金 重庆市自然科学基金(2009BB3280)
关键词 渐近稳定性 分数阶微分 K类函数 LYAPUNOV函数 asymptotic stability fractional differential class of functions K Lyapunov function
分类号 O175.13 [理学—基础数学]
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参考文献6

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共引文献4

同被引文献23

  • 1Tian xiaohong,Xu Rui. Hopf bifurcation of a stage-structured predator-prey model with time delay[J]. Applied Mathematics A Journal of Chinese universities,2010,25(3) :285 - 292.
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桂林电子科技大学学报
2010年 第6期

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