Before revision:  ' Here, we combine the disease dilemma with the compartmental model used for diseases which do not confer immunity . We prove that if the time scale at which individuals receive information is sufficiently rapid compared to the time scale at which the disease spreads, then cooperation emerges, and the disease can be controlled.
After revision:  ' Here, we combine the disease dilemma with the compartmental model used for diseases which do not confer immunity to recovered individuals, we prove that if the time scale at which individuals receive information is sufficiently rapid compared to the time scale at which the disease spreads, then cooperation emerges, and the disease can be controlled.