Global and local stability analysis in a nonlinear discrete-time population model

Advances in Difference Equations

zlem Ak Gm¹ 

[1] Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, Adıyaman, Turkey

关键词: global stability;    local stability;    Allee effect;    population model;    equilibrium point;    discrete-time models;   

DOI  :  10.1186/1687-1847-2014-299

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we investigate the local and global stability conditions of equilibrium points of discrete-time dynamic model with and without Allee effect. We conclude that the Allee effect decreases both the local stability and the global stability of equilibrium points of the population dynamic model. The results are confirmed with a numerical simulation. MSC: 39A10, 39A30.

【 授权许可】

CC BY