Global asymptotic stability in a rational recursive sequence

Yang, X. F., Lai, H. J., Evans, D. J. and Megson, G. M. (2004) Global asymptotic stability in a rational recursive sequence. Applied Mathematics and Computation, 158 (3). pp. 703-716. ISSN 0096-3003 doi: 10.1016/j.amc.2003.10.010

Abstract/Summary

In this paper, we study the global stability of the difference equation x(n) = a + bx(n-1) + cx(n-1)(2)/d - x(n-2), n = 1,2,....., where a, b greater than or equal to 0 and c, d > 0. We show that one nonnegative equilibrium point of the equation is a global attractor with a basin that is determined by the parameters, and every positive Solution of the equation in the basin exponentially converges to the attractor. (C) 2003 Elsevier Inc. All rights reserved.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/15473
Item Type	Article
Refereed	Yes
Divisions	Science
Uncontrolled Keywords	difference equation, recursive sequence, equilibrium, global attractor, basin, exponential convergence, DIFFERENCE EQUATION, ATTRACTIVITY
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