An Index Theory for Positive Dynamical Systems with an Application to Lotka–Voterra Systems

被引：0

作者：

Xiao-Song Yang

机构：

[1] Huazhong University of Science and Technology,School of Mathematics and Statistics

来源：

Qualitative Theory of Dynamical Systems | 2013年 / 12卷

关键词：

Index theory; Degree of maps; Positive dynamical system; Lotka–Voterra systems; 34D20; 37C10; 55M25; 57R25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we develop an index theory of positive dynamical systems in planar case. We present a formula of index sum of isolated zeros a positive dynamical system on the positive orthant of R2. As an application, we present some sufficient conditions on existence of zeros of Lotka–Voterra systems in the positive orthant of R2.

引用

页码：305 / 314

页数：9

共 6 条

[1]

Yang X.-S.(2009)Index sum of isolated singular points of positive vector fields Discrete Contin. Dyn. Syst. A 25 1033-1039

[2]

Yi Q.-Z.(2009)Permanence and periodic solutions for nonautonomous predator–prey system with type-II functional response J. Biomathematics 24 409-497

[3]

Zhao X.-H.(2010)Classification and dynamics of stably dissipative Lotka–Volterra system Int. J. Non-Linear Mech. 45 603-607

[4]

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