ABSTRACT

Now we discuss the stability of fi xed points of the discrete dynamic system (3.1) through analyzing the eigenvalues of asymptotic linear equation of formula (3.1). Four fi xed points of difference function (3.1) are obtained:

(3.4)

Provided that: 2

( ) 4( )( ) 0

( ) 4( )( ) 0

b e e b e b d c c d c d d p

⎧ + − − − ≥⎪ ⎨

+ − − − + ≥⎪⎩ (3.5) Lemma 3.1 The equilibrium

(3.6)

is an unstable equilibrium point.