The incentives to mine are: newly created coins and the transaction fees. Even when all coins are mined, the transaction fees still belong to the miner.
mskryxz: the algorithm behind Bitcoin (SHA256) is useless for "genome, dna, ai, weather modeling". ASICs are not reprogrammable, the algorithm in them cannot be changed.
What about the other alt coins that still use cpu or gpu to mine like litecoins?