Randy, It is normal for the fruiting canes to die at the end of the season. The new green canes will have berries next year, and then they will die also. So, you see, a cane lives for two years.
New canes grow every year.
In the first year, the cane just grows vegetatively, and does not flower or fruit. These are called primocanes. In the second year, the canes flower and produce fruit. These are called floricanes. The exceptions are two, one unimportant, one important.