PokéBase - Pokémon Q&A
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There is no way to increase the odds of encountering Pokerus.

Pokérus has a 3 in 65,536 or approximately a 1 in 21,845 chance of being generated on one of the player's Pokémon after a battle, making it rarer than encountering or hatching a Shiny Pokémon.

These are the odds of encountering Pokerus on your own. However, by trading for a Pokémon with Pokerus, you can readily give the infection to your own Pokémon with relative ease. This method is much more convenient for acquiring the infection.

Source: Bulbapedia and GameFAQs

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