Before revision:  then the maximum number of stable positive steady states is N , and if the maximum number of positive steady states is 2N+1, then the maximum number of stable positive steady states is N or N + 1. (3)If the maximum number of positive steady states is 2N+1 (N>0), and if a choice of parameters yields 2N+ 1 nondegenerate positive steady states, we prove a sufficient and necessary condition for these parameters to yield N+1 stable positive steady states .
After revision:  then the maximum number of stable positive steady states is N , and if the maximum number of positive steady states is 2N+1, then the maximum number of stable positive steady states is N or N + 1 nondegenerate positive steady states, we prove a sufficient and necessary condition for these parameters to yield N+1 stable positive steady states .