B. S. Alofi - Mathematics Department, Jamoum University College, Umm Al-Qura University, Jamoum 25375, Saudi Arabia.
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.
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
Alofi B. S., Qualitative dynamics of a higher-order rational difference equation system. J Math Comput SCI-JM. (2026); 41(4):519--534
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
