46 citations · 57 across the 4 of their papers we have counts for
4 papers
Invariant Manifolds for Competitive Systems in the Plane
Mustafa Kulenovic, Orlando Merino
Let be a competitive map on a rectangular region , and assume is in a neighborhood of a fixed point . The…
Global Attractivity of the Equilibrium of a Difference Equation: An Elementary Proof Assisted by Computer Algebra System
Orlando Merino
Let and be arbitrary positive numbers. It is shown that if , then all solutions to the difference equation \tag{E} x_{n+1} = \frac{p+q x_n}{1+x_{n-1}}, \quad n=0,1,2…
Global Behavior of Solutions to Two Classes of Second Order Rational Difference Equations
Sukanya Basu, Orlando Merino
For nonnegative real numbers , , , , and such that and , the difference equation \begin{equation*} x_{n+1}=\displaystyle\frac{α+βx_{n}+γx_{n-1}…
On the Global Behavior of Solutions to a Planar System of Difference Equations
Sukanya Basu, Orlando Merino
We establish the relation between local stability of equilibria and slopes of critical curves for a specific class of difference equations. We then use this result to give global b…