Abstract
In this paper we investigate the dynamics and behavior of the recursive sequence
x(n+1) = ax(n-k) + bx(n-l) + cx(n-s) + dx(n-r)/alpha x(n-l) + beta x(n-s) + gamma x(n-r), n = 0,1, ...
where the parameters a; b; c; d;alpha; beta and gamma are positive real numbers and the initial conditions are positive real numbers.