Global dynamics of a 3 × 6 exponential system of difference equations

2019 ◽  
Vol 42 (18) ◽  
pp. 7243-7258
Author(s):  
A. Q. Khan
Keyword(s):  
Difference Equations ◽  
Global Dynamics ◽  
System Of Difference Equations ◽  
Exponential System

scholarly journals Global Dynamics of a 3 × 6 System of Difference Equations

2019 ◽  
Vol 2019 ◽  
pp. 1-14 ◽  
Author(s):  
S. M. Qureshi ◽  
A. Q. Khan
Keyword(s):  
Difference Equations ◽  
Global Dynamics ◽  
Asymptotically Stable ◽  
System Of Difference Equations ◽  
Globally Asymptotically Stable ◽  
Rational Difference Equations ◽  
Dynamical Properties ◽  
Theoretical Results

In the proposed work, global dynamics of a 3×6 system of rational difference equations has been studied in the interior of R+3. It is proved that system has at least one and at most seven boundary equilibria and a unique +ve equilibrium under certain parametric conditions. By utilizing method of Linearization, local dynamical properties about equilibria have been investigated. It is shown that every +ve solution of the system is bounded, and equilibrium P0 becomes a globally asymptotically stable if α1<α2,α4<α5, α7<α8. It is also shown that every +ve solution of the system converges to P0. Finally theoretical results are verified numerically.

scholarly journals On the Solutions of the System of Difference Equationsxn+1=max{A/xn,yn/xn},yn+1=max{A/yn,xn/yn}

2009 ◽  
Vol 2009 ◽  
pp. 1-11 ◽  
Author(s):  
Dağistan Simsek ◽  
Bilal Demir ◽  
Cengiz Cinar
Keyword(s):  
Difference Equations ◽  
Initial Conditions ◽  
Real Numbers ◽  
System Of Difference Equations ◽  
Positive Real

We study the behavior of the solutions of the following system of difference equationsxn+1=max⁡{A/xn,yn/xn},yn+1=max⁡{A/yn,xn/yn}where the constantAand the initial conditions are positive real numbers.

scholarly journals On the Behavior of Solutions of the System of Rational Difference Equations: , , and

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Abdullah Selçuk Kurbanli
Keyword(s):  
Difference Equations ◽  
System Of Difference Equations ◽  
Rational Difference Equations

We investigate the solutions of the system of difference equations , , , where .

scholarly journals On the Global Asymptotic Stability of a Second-Order System of Difference Equations

2008 ◽  
Vol 2008 ◽  
pp. 1-12 ◽  
Author(s):  
Ibrahim Yalcinkaya
Keyword(s):  
Asymptotic Stability ◽  
Difference Equations ◽  
Global Asymptotic Stability ◽  
Second Order ◽  
Order System ◽  
Sufficient Condition ◽  
System Of Difference Equations ◽  
Initial Values

A sufficient condition is obtained for the global asymptotic stability of the following system of difference equations where the parameter and the initial values (for .

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