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Global Behavior of Solutions to Two Classes of Second-Order Rational Difference Equations
Advances in Difference Equations volume 2009, Article number: 128602 (2009)
Abstract
For nonnegative real numbers 
, 
, 
, 
, 
, 
and 
such that 
and 
, the difference equation 
, 
has a unique positive equilibrium. A proof is given here for the following statements: (1) For every choice of positive parameters
, 
, 
, 
, 
, 
and 
, all solutions to the difference equation
, 
converge to the positive equilibrium or to a prime period-two solution. (2) For every choice of positive parameters
, 
, 
, 
, 
and 
, all solutions to the difference equation
, 
converge to the positive equilibrium or to a prime period-two solution.
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Basu, S., Merino, O. Global Behavior of Solutions to Two Classes of Second-Order Rational Difference Equations. Adv Differ Equ 2009, 128602 (2009). https://doi.org/10.1155/2009/128602
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DOI: https://doi.org/10.1155/2009/128602