This is not the security model, this is the consensus model. It's based on probabilistic finality, meaning that the probability that a transaction won't be reversed increases as more blocks are added on top. One major advantage of PoS is that it has "Absolute Finality" - after a certain amount of blocks, it's absolutely impossible to do a 51% attack. (See https://medium.com/mechanism-labs/finality-in-blockchain-con...)
Note that a higher hashrate does not mean more secure, it's a common falsehood. The security of bitcoin depends on the percentage of miners that are honest - this is mentioned the bitcoin whitepaper. Fortunately, the incentives align for the majority of miners to stay honest, and this is what the whitepaper predicted.