Bitcoin has been steadily losing market cap dominance, from 90%+ just two years ago to ~80% today.
When it comes to exchange dominance it's just 66.4%.
This trend will probably continue and in a few years there will be people using cryptocurrencies that do not know what bitcoin is.
Bitcoin has no competition. It is merely just about time, effort and dedication to maintain posting and checking. Bitcoin being a established crypto currency has no competition as for me.