摘要
The stability behaviors of the generalized logistic difference equation xn+1=axkn(1 - xrn)with a,k, and r>0 are completely characterized in the three cases k>1,k =1, and 0 <k <1. It is shown that the stability nature of the positive equilibria changes as the parameter a >0 increases, and that for specific values of k and r this change depends only on the values of a.
The stability behaviors of the generalized logistic difference equation xn+1=axkn(1 - xrn)with a,k, and r>0 are completely characterized in the three cases k>1,k =1, and 0 <k <1. It is shown that the stability nature of the positive equilibria changes as the parameter a >0 increases, and that for specific values of k and r this change depends only on the values of a.
