摘要
研究了具Holling Ⅳ功能反应的捕食与被捕食模型,讨论了系统的有界性.采用Routh-Hurwitz判别法得到正平衡点局部渐近稳定性的充分条件,同时通过构建李亚普洛夫函数得到正平衡点全局渐近稳定性的条件.
We consider a predator-prey system model with holling＇ s type IV functional response, and study the boundedness of solutions. We get a sufficient condition of local stability of positive equilibrium by applying Routh-Hurwitz criteria. At the same time, we consider the globally asymptotical stability of positive equilibrium by constructing Lyapunov function.
作者
丁建华
金俊栋
DING Jian-hua JIN Jun-dong(Gansu Vocational ＆ Technical College of Nonferrous Metallurgy, Jinchang 737100, China College of Science, Gansu Agricultural University, Lanzhou 730070, China)
出处
《洛阳师范学院学报》
2017年第5期11-13,共3页
Journal of Luoyang Normal University
基金
国家自然科学基金资助项目(10771048)
