Hey everyone just a quick post to let you know my experience and fix. Until today I have had no problems whatsoever but then I started having issues connecting and issues with Destiny realising I had a PS+ account (so I could join strikes etc). If I ever did connect I was quickly dropped again from the servers - I received so many error messages; cattle, centipede, lionfish etc. I realised that earlier today I had reset my router and forgotten all about it - long story short - I put my PS4 into DMZ...
http://wololo.net/2014/05/19/how-to-speed-up-your-ps4-internet-connection-with-dmz-by-jmqmofficials/
This fixed things immediately - must be worth a try for anyone having issues, especially if the issue was spontaneous - try and remember if you have made any hardware changes.
Good Luck!
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I'd never really recommend using DMZ, that is even worse than using UPnP. Both create a potential security issue for your home network.
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It also depends on how your internet is set up. Routed Bridge or PPPoE.