I know next to nothing about these specific bandsaws, but...
Most of them are made in China, and the parts and designs for parts are very standardised. It is most likely that your saw is similar to many others of the same size. The better suppliers do carry spares, and there are a number of spares specialists, too, such as MTMC in Yeovil, and Power Tool Spares (Southampton?), where you can go on-line and search through exploded diagrams, etc.
To be specific about the tyres, Almost all of the small Chinese machines I've seen have the crown cast and/or machined into the wheel itself. The tyre is usually a flat, slightly elastic belt, that fits the shape of the wheel. My SIP is like that, Axminster ones are like that, and I'd expect there are probably dozens of similar brands out there. Last time I bought tyres, they were cheap enough to just take the risk on the purchase (they weren't officially for my machine at all). So measure up carefully, better still, if you have an instruction manual (even a Chinglish one!), it probably has a parts list, giving you something to go a-Googling with.
Wheel diameter is the biggest issue, followed by the rim width (where the tyre fits). If you kept the broken pieces, you might also get the rubber thickness from that (roughly). Expect it to be close to a standard dimension, usually Imperial (because of the dominance of the American market), so a nominally 300mm bandsaw is probably designed as a 12" model, but sold here roughly metricized.
You almost certainly don't need a perfect match either - if a tyre fits snugly, and is wide enough it will probably work for most purposes. You can theoretically even join two ends of a rubber strip to make your own (not tried this!), but I'm told superglue with activator works well. Not sure how much I'd trust that, but there's nothing to stop you getting rubber sheet and testing a few joints to see if it will work, before committing anything to actual use. I wouldn't actually glue it to the wheel, as that just makes life awkward next time. And obviously it will need to be a bit shorter than the wheel's circumference, but your guess is a s good as mine as to how much.
Finally, if you find a source of suitable tyres, get several - at least three or four. If one has already gone the other is going, and you probably will end up changing both very soon. The lower wheel takes the most punishment BTW, because it's driven and it gets the most sawdust.
Hope that helps, sorry I don't have a supplier to offer you.
E.
PS: Be encouraged: Matthias Wandel and many other people now have made wooden bandsaws, and they cut well and accurately. They're nothing like as hi-tech as you might think!