In many cases, the manga of Toriko continues even after the anime ends. This can happen due to various reasons such as the complexity of the story or the cost of animating it. However, there are also instances where the anime and manga finish around the same time.
Well, in the 'toriko original story', Toriko is on a mission to find the rarest and most amazing ingredients. He teams up with his friends and uses his unique skills, like his powerful physical abilities and knowledge of different habitats. There are all sorts of strange creatures that are also ingredients, and the story is about his journey to collect them and his battles against those who would stop him.
The main character is Toriko. He is a very strong and food - loving hunter. Another important character is Komatsu, who is a chef and often accompanies Toriko on his ingredient - hunting adventures.
I'm not entirely sure as I haven't played it. But generally, a visual novel often involves a story with characters, plotlines, and usually some form of interaction or decision - making for the player. It might be set in a unique world created by the developers of 'toriko no kusari' with its own set of themes, conflicts, and relationships.