@article{Alsulami2023, 
author = {Ibraheem M. Alsulami and E. M. Elsayed},
title = {On a class of nonlinear rational systems of difference equations},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {7},
pages = {15466-15485},
keywords = {difference equations, periodic solutions, system of difference equations},
url = {https://www.sciopen.com/article/10.3934/math.2023789},
doi = {10.3934/math.2023789},
abstract = {In this paper, we construct and formulate the solutions and periodicity character of the following nonlinear rational systems of difference equations:               S          n      +      1        =                              T                      n                                    S                      n            −            2                                                S                      n            −            2                          +                  T                      n            −            1                                ,        T          n      +      1        =                              S                      n                                    T                      n            −            2                                      ±                  T                      n            −            2                          ±                  S                      n            −            1                                ,            n  =  0  ,  1  ,  2  ,  .  .  .  .  ,        (  0.1  )where the initial conditions        s          −      2        ,      s          −      1        ,      s    0    ,      t          −      2        ,      t          −      1        ,      t    0   are positive real numbers. Moreover, some mathematical programs are used to support our theoretical results of each system in this paper.}
}