一类分数阶Lotka-Volterra系统的动力学研究

Dynamics for a Fractional-order Lotka-Volterra System

本文建立了一个新的分数阶Lotka-Volterra模型.首先,我们考虑所涉及的分数阶Lotka-Volterra模型的存在性、唯一性和非负性.其次,通过分析特征方程将时滞视为分岔参数,建立一个新的充分条件来保证系统的稳定性和Hopf分岔的出现.

In this article,a new fractional-order Lotka-Volterra model is set up.Firstly,we con-sider the existence,uniqueness,and nonnegativity for the involved fractional-order Lotka-Volterra model.Secondly,by analyzing the characteristic equation and regarding the delay as bifurcation variable,and set up a new sufficient conditions to guarantee the stability behavior and the appearance of Hopf bifurcation for this system.