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

Electronic Journal of Qualitative Theory of Differential Equations

Juan Perán¹  Daniel Franco¹  Juan Segura² 

[1] Universidad Nacional de Educacion a Distancia, Dpto. Matematica Aplicada, Madrid, Spain;Universidad Nacional de Educación a Distancia, Madrid, Spain and Universitat Pompeu Fabra, Barcelona, Spain;

关键词: global stability;    discrete dynamical system;    population model;    harvest timing;   

DOI  :  10.14232/ejqtde.2018.1.101

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown