Qualitative dynamics of a higher-order rational difference equation system
Authors
B. S. Alofi
- Mathematics Department, Jamoum University College, Umm Al-Qura University, Jamoum 25375, Saudi Arabia.
Abstract
This study shows the conditions for local and global asymptotic stability of
the equilibrium points in the nonlinear system of difference equations
\[
Z_{\eta+1} =\beta_{1}Y_{\eta-1}+\frac{\delta_{1}Y_{\eta-1}Z_{\eta-4}%
}{r+Y_{\eta-2}+Z_{-4}},\quad
Y_{\eta+1} =\beta_{2}Z_{\eta-1}+\frac{\delta_{2}Z_{\eta-1}Y_{\eta-4}%
}{r+Z_{\eta-2}\pm Y_{\eta-4}}.\]
The boundedness of the positive solutions of the systems is examined.
Additionally, the solutions of the systems are investigated. Numerical
examples are presented to show the outcomes.
Share and Cite
ISRP Style
B. S. Alofi, Qualitative dynamics of a higher-order rational difference equation system, Journal of Mathematics and Computer Science, 41 (2026), no. 4, 519--534
AMA Style
Alofi B. S., Qualitative dynamics of a higher-order rational difference equation system. J Math Comput SCI-JM. (2026); 41(4):519--534
Chicago/Turabian Style
Alofi, B. S.. "Qualitative dynamics of a higher-order rational difference equation system." Journal of Mathematics and Computer Science, 41, no. 4 (2026): 519--534
Keywords
- Difference equations
- solution of difference equation
- difference equations system
MSC
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