Boundedness, global stability, and periodicity of some difference equations

We investigate the boundedness, persistence, and global behavior of solutions of the perennial grass model [special characters omitted]where [special characters omitted], and with positive initial conditions x−1 and x0. We also investigate the boundedness, the global stability, and the periodicity of solutions of the nonlinear second order rational difference equations [special characters omitted]and [special characters omitted]where the parameters [special characters omitted], and A and the initial conditions x −1 and x0 are nonnegative real numbers