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

Xiao-Song Yang

• 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.