Volume no :39, Issue no: 1, May

Journal of Mathematical Sciences: Advances and Applications

A SURVEY ON THE ENVELOPING METHOD OF SOME ONE-DIMENSIONAL NON-AUTONOMOUS DISCRETE PERIODIC POPULATION MODELS

Author's: Rafael Luís and Elias Rodrigues
Pages: [63] - [87]
Received Date: April 28, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121662

Abstract

For some one-dimensional discrete-time autonomous population models, local stability implies global stability of the positive equilibrium point. One of the known techniques is the enveloping method. In this paper, we present a survey on the enveloping method to study global stability of single periodic population models. In the other words, we present the conditions in which “individual enveloping” implies “periodic enveloping” in some one-dimensional periodic population models.

Keywords

periodic population models, local stability, global stability, enveloping, applications.