[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 …

[PDF][PDF] Dynamics and behavior of a higher order rational difference equation

EM Elsayed - J. Nonlinear Sci. Appl, 2016 - kurims.kyoto-u.ac.jp
We study the global result, boundedness, and periodicity of solutions of the difference
equation xn+ 1= a+ bxn− l+ cxn− k dxn− l+ exn− k, n= 0, 1,..., where the parameters a, b, c, d …

[PDF][PDF] Dynamics and global stability of higher order nonlinear difference equation

EM Elsayed, A Alghamdi - J. Comput. Anal. Appl, 2016 - eudoxuspress.com
Dynamics and global stability of higher order nonlinear difference equation Page 87
Dynamics and Global Stability of Higher Order Nonlinear Difference Equation EM Elsayed …

[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 …

Behavior of positive solutions of a difference equation

DT Tollu, Y Yazlik, N Taskara - Journal of applied mathematics & …, 2017 - dbpia.co.kr
In this paper we deal with the difference equation $$ y_ {n+ 1}=\frac {ay_ {n-1}}{by_ny_ {n-
1}+ cy_ {n-1} y_ {n-2}+ d} $$, $$ n {\in}\mathbb {N} _0 $$, where the coefficients a, b, c, d are …

[PDF][PDF] Global behavior and periodicity of some difference equations

EM Elsayed, H El-Metwally - Journal of Computational Analysis …, 2015 - researchgate.net
In this paper we study the boundedness, investigate the global convergence and the
periodicity of the solutions to the following recursive sequence xn+ 1= axn+ bx2 n^ 1+ cxn …

[PDF][PDF] Solutions and periodicity for some systems of fourth order rational difference equations

MM El-Dessoky, EM Elsayed, M Alghamdi - J. Comput. Anal. Appl, 2015 - researchgate.net
Solutions and periodicity for some systems of fourth order rational difference equations
Page 1 Solutions and periodicity for some systems of fourth order rational difference …

Global dynamics of two systems of exponential difference equations by Lyapunov function

AQ Khan - Advances in Difference Equations, 2014 - Springer
In this paper, we study the boundedness character and persistence, existence and
uniqueness of the positive equilibrium, local and global behavior, and rate of convergence …

Dynamics of a modified Nicholson-Bailey host-parasitoid model

AQ Khan, MN Qureshi - Advances in Difference Equations, 2015 - Springer
In this paper, we study the qualitative behavior of the following modified Nicholson-Bailey
host-parasitoid model: xn+ 1= bxne− ayn 1+ dxn, yn+ 1= cxn (1− e− ayn), x_ n+ 1= b x_ ne …

On the solution for a system of two rational difference equations.

C Wang, X Fang, R Li - Journal of Computational Analysis & …, 2016 - search.ebscohost.com
This paper is concerned with the dynamical behavior and the expression of the solution for a
system of two rational difference equations x< sub> n+ 1= x< sub> n-3/A+ X< sub> n-3 y< …