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We present a complete local dynamics and investigate the global dynamics of the following second-order difference equation: xn+1 = (Ax2 + Exn-1 + F) / (axn2 + exn-1 + f), n = 0, 1, 2, . . ., where the parameters A, E, F, a, e, and f are nonnegative numbers with condition A + E + F > 0, a + e + f > 0, and initial conditions x-1, x0 are arbitrary nonnegative numbers such that axn2 + exn-1 + f > 0, n = 0, 1, 2, . . . .
Jašarević Hrustić, S., Kulenović, M. R. S., & Nurkanović, M. (2016). Local dynamics and global stability of certain second-order rational difference equation with quadratic terms. Discrete Dynamics in Nature and Society, 2016. doi:10.1155/2016/3716042
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