It is only when the mother plant flowers, that it will die and the pups will take over, I have many bananas and they all pup in the spring, you can cut the pups off the corm leaving some roots on them or you can wait till next spring and seperate them then. The browning on the leaves could be a lack of humidity, I usually put some pea gravel in the plant dish and fill it with water and that will raise the humidity level around the plant. I would cut back on the water, the plant will keep growing but it will grow lot slower in the winter months, normally I give mine about 2 cups of water every 4 to 6 weeks ( last year I only watered once in january!) You may be contributing to root rot with all the water. Let it dry out before you water again.

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thank you so much for your info i will slow on the water and will put water out for the humity thanks again

I'm not trying to be mean or anything, but punctuation will make your thread easier to read.

The mother corm will not die until she flowers. That's not to say you can't kill her, but she wont die back on her own until she flowers. Wait until the pups have 2' of pseudostem before seperating them, and they'll have a better chance of survival. Drainage, drainage, drainage. Water less in the winter, but this is less important than well draining soil. If she sits in cold water, she will rot. That plant goes by many names:
Zebrina, Sumatrana, Blood, Rojo, and Red Rowe. They get about 7-9' tall, and pup like crazy.