@article{Hu2024, 
author = {Linxia Hu and Yonghong Shen and Xiumei Jia},
title = {Global behavior of a discrete population model},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {5},
pages = {12128-12143},
keywords = {discrete population model, boundedness, prime period-two solution, global asymptotic stablility, transcritical bifurcation, center manifold theorem},
url = {https://www.sciopen.com/article/10.3934/math.2024592},
doi = {10.3934/math.2024592},
abstract = {In this work, the global behavior of a discrete population model         {                                        x                          n              +              1                                                =          α                      x            n                                e                          −                              y                n                                              +          β          ,                                                  y                          n              +              1                                                =          α                      x            n                    (          1          −                      e                          −                              y                n                                              )          ,                            n  =  0  ,  1  ,  2  ,  …  ,is considered, where    α  ∈  (  0  ,  1  ),    β  ∈  (  0  ,  +  ∞  ), and the initial value    (      x          0        ,      y    0    )  ∈  [  0  ,  ∞  )  ×  [  0  ,  ∞  ). To illustrate the dynamics behavior of this model, the boundedness, periodic character, local stability, bifurcation, and the global asymptotic stability of the solutions are investigated.}
}