Global stability of discrete dynamical systems via exponent analysis: applications to harvesting population models

Abstract

We present a novel approach to study the local and global stability of families of one-dimensional discrete dynamical systems, which is especially suitable for difference equations obtained as a convex combination of two topologically conjugated maps. This type of equations arise when considering the effect of harvest timing on the stability of populations.

Keywords

• global stability
• discrete dynamical system
• population model
• harvest timing