Is Dracula similar to an infectious disease?

Yes, Dracula is related and similar to an infectious disease in Bram Stoker's novel. Like a disease, he replicates and spreads himself by infilitrating his victims' blood—in his case, by biting them—and taking over their bodies. With the average virus, as with vampirism, the person infected behaves differently. The person ill with a virus will be feverish, go to bed from feeling weak and unsteady, and in other ways show themselves to not be behaving as they normally do. Likewise, a person infected with vampirism will become part of the undead and begin to behave in new ways, such as sleeping by day and being up all night.
Interestingly, in the novel, the protagonists are able to combat the infection of vampirism with primitive blood transfusions. Also, as in a real virus, the disease of vampirism spreads as one victim infects others. This is part of the grave danger of Dracula arriving in London, a heavily populated city with a big port sending ships all over the world: from there, he is positioned to spread vampirism across the globe.