Find you IP:
$ ifconfig
Run:
$ python manage.py runserver 192.XXX.XX.XX:8000
You should be able to access your web app from any device in the local network.
This will keep the web app running while the SSH connection is active.
If you want to serve the app continously you can use gunicorn
:
$ gunicorn --bind 192.XXX.XX.XX:8000 your_project.wsgi --daemon