I’ve written about this before, so I’d recommend searching my archive for the term “military revolution” or “army size.”
But to answer your question directly: you need to be very careful about your terminology and dating. The Great Heathen Army landed in England in 865 CE, whereas the Wars of the Roses (on which the War of Five Kings is based) took place between 1455 and 1487 CE. It’s a bad idea to compare army sizes from six hundred years apart, because a lot changed in terms of technology, political organization, economic growth, etc. in the intervening years.