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.
Din, Q. (2016). Asymptotic behavior of an anti-competitive system of second-order difference equations. Journal of the Egyptian Mathematical Society, 24(1), 37-43. doi: 10.1016/j.joems.2014.08.008
MLA
Q. Din. "Asymptotic behavior of an anti-competitive system of second-order difference equations", Journal of the Egyptian Mathematical Society, 24, 1, 2016, 37-43. doi: 10.1016/j.joems.2014.08.008
HARVARD
Din, Q. (2016). 'Asymptotic behavior of an anti-competitive system of second-order difference equations', Journal of the Egyptian Mathematical Society, 24(1), pp. 37-43. doi: 10.1016/j.joems.2014.08.008
VANCOUVER
Din, Q. Asymptotic behavior of an anti-competitive system of second-order difference equations. Journal of the Egyptian Mathematical Society, 2016; 24(1): 37-43. doi: 10.1016/j.joems.2014.08.008
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