[PDF][PDF] Periodicity and solutions for some systems of nonlinear rational difference equations

EM Elsayed, TF Ibrahim - Hacettepe Journal of Mathematics and …, 2015 - dergipark.org.tr
In this paper, we investigated the periodic nature and the form of the solutions of nonlinear di􏳸
erence equations systems of order three x_ n+ 1= x_ n-2 y_ n-1 y_n (± 1 ± x_ n-2 y_ n-1), y …

Well-defined solutions of a system of difference equations

N Haddad, N Touafek, JFT Rabago - Journal of Applied Mathematics and …, 2018 - Springer
This note deals with the solution form of the system of difference equations x_ n+ 1= a x_ n
y_ n-1 y_ n-α+ β,\quad y_ n+ 1= b x_ n-1 y_ n x_ n-β+ α,\quad n ∈ N _ 0, xn+ 1= axnyn-1 yn …

Neimark-Sacker bifurcation of a two-dimensional discrete-time predator-prey model

AQ Khan - SpringerPlus, 2016 - Springer
In this paper, we study the dynamics and bifurcation of a two-dimensional discrete-time
predator-prey model in the closed first quadrant R _+^ 2 R+ 2. The existence and local …

Asymptotic behavior of a difference equation model in exponential form

TF Ibrahim - Mathematical Methods in the Applied Sciences, 2022 - Wiley Online Library
We investigate the global stability and the convergence rate of the exponential model: un+
1= λ 4 un− 2 e− vn+ λ 3 un− 1+ λ 2 un+ λ 1, u _ n+1= λ _4 u _ n-2 e^-v _n+ λ _3 u _ n-1+ λ _2 …

[PDF][PDF] The expressions and behavior of solutions for nonlinear systems of rational difference equations

EM Elsayed, KN Alharbi - J. Innov. Appl. Math. Comput. Sci, 2022 - asjp.cerist.dz
The expressions and behavior of solutions for nonlinear systems of rational difference
equations Page 1 Journal of Innovative Applied Mathematics and Computational Sciences J …

On the solutions of a max-type difference equation system.

Y Yazlik, DT Tollu, N Taskara - Mathematical Methods in the …, 2015 - search.ebscohost.com
In this paper, we study behavior of the solution of the following max-type difference equation
system: xn+ 1= max {< sup> 1-< sub> xn, min {1,< sup> A-< sub> yn}}, yn+ 1= max {< sup> 1 …

[PDF][PDF] Expression and behavior of the solutions of some rational recursive sequences

EM Elsayed - Mathematical Methods in the Applied Sciences, 2016 - researchgate.net
In this paper, we obtain the solutions of the following recursive sequences: xnC1 D xn 3xn 4
xn. 1 xn 1xn 2xn 3xn 4/, n D 0, 1,:::,(1) where the initial conditions are arbitrary real numbers …

Forms of Solutions for Some Two‐Dimensional Systems of Rational Partial Recursion Equations

TF Ibrahim, AQ Khan - Mathematical Problems in Engineering, 2021 - Wiley Online Library
In this paper, we offer the closed‐form expressions of systems of second‐order partial
difference equations. We will utilize an alternative approach to verify the results by (odd …

Analyzing predator-prey interaction in chaotic and bifurcating environments

A Abbas, A Khaliq - Chaos Theory and Applications, 2023 - dergipark.org.tr
An analysis of discrete-time predator-prey systems is presented in this paper by determining
the minimum amount of prey consumed before predators reproduce, as well as by analyzing …

[PDF][PDF] On a solutions of fourth order rational systems of difference equations

EM Elsayed, A Alotaibi… - Journal of Computational …, 2017 - eudoxuspress.com
On a solutions of fourth order rational systems of difference equations Page 120 On a solutions
of fourth order rational systems of difference equations EM Elsayed1, 2, Abdullah Alotaibi1 …