广西科学2011，Vol.18Issue(1)：7-10,4.
一类改进的Leslie型捕食与被捕食系统的动力学分析
Study on Dynamics of a Modified Leslie Predator-Prey System
摘要
Abstract
This paper presented a modified Leslie predator-prey system in which several important factors were considered. The theory of non-linear dynamics, Routh-Hurwitz theorem and the method of Lyapunov coefficient were applied to investigate the dynamical behaviors of the modified system. Then, the necessary parameter conditions for the appearance of the steady equilibrium and the Hopf bifurcation were obtained. Finally, the discussion was verified by numerical simulation.关键词
非线性理论/Leslie系统/Hopf分岔/Bautin分岔Key words
nonlinear theory/ Leslie system/ Hopf bifurcation/ Bautin bifurcation分类
数理科学引用本文复制引用
陈玉明,李群宏,徐德贵..一类改进的Leslie型捕食与被捕食系统的动力学分析[J].广西科学,2011,18(1):7-10,4.基金项目
广西壮族自治区自然科学基金项目(2010GXNSFA013110) （2010GXNSFA013110）
广西壮族自治区青年科学基金项目(0832014)资助. （0832014）
