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

作者：Yang, Xiao-Song^*

来源：Qualitative Theory of Dynamical Systems, 2013, 12(2): 305-314.

DOI：10.1007/s12346-012-0087-8

• Index theory
• Degree of maps
• Positive dynamical system
• Lotka-Voterra systems

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 R-2. As an application, we present some sufficient conditions on existence of zeros of Lotka-Voterra systems in the positive orthant of R-2.

• 出版日期2013-10
• 单位华中科技大学