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In this paper the concept of Critical Community Size (CCS) for thedeterministic SIR model is introduced and its consequences for the diseasedynamics are stressed. The disease can fade out after an outburst. Also theprinciple of competitive exclusion holds no longer true. This is exemplifiedfor the dynamics of two competing virus strains. The virus with higher R0 canbe eradicated from the population.

Deterministic Critical Community Size For The SIR System and Viral Strain Selection