Asymptotic behavior of an anti-competitive system of second-order difference equations
Din, Q. (2016). Asymptotic behavior of an anti-competitive system of second-order difference equations. EKB Journal Management System, 24(1), 37-43. doi: 10.1016/j.joems.2014.08.008
Q. Din. "Asymptotic behavior of an anti-competitive system of second-order difference equations". EKB Journal Management System, 24, 1, 2016, 37-43. doi: 10.1016/j.joems.2014.08.008
Din, Q. (2016). 'Asymptotic behavior of an anti-competitive system of second-order difference equations', EKB Journal Management System, 24(1), pp. 37-43. doi: 10.1016/j.joems.2014.08.008
Din, Q. Asymptotic behavior of an anti-competitive system of second-order difference equations. EKB Journal Management System, 2016; 24(1): 37-43. doi: 10.1016/j.joems.2014.08.008

Asymptotic behavior of an anti-competitive system of second-order difference equations

Journal of the Egyptian Mathematical Society
Volume 24, Issue 1, 2016, Page 37-43  XML PDF (1 MB)
DOI: 10.1016/j.joems.2014.08.008
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Author
Q. Din
Department of Mathematics, University of Poonch Rawalakot, Pakistan
Abstract
In this paper, we study the boundedness and persistence, existence and uniqueness of
positive equilibrium, local and global behavior of positive equilibrium point, and rate of convergence
of positive solutions of following system of rational difference equations
xnþ1 ¼
a1 þ b1yn1
a1 þ b1xn
; ynþ1 ¼
a2 þ b2xn1
a2 þ b2yn
;
where the parameters ai; bi; ai; bi for i 2 f1; 2g and initial conditions x0; x1; y0; y1 are positive
real numbers. Some numerical examples are given to verify our theoretical results.
Keywords
Anti-competitive system; Difference equations; Boundedness and persistence; Local and global character
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