Abstract
A new epidemic model is developed that describes the spread of an infectious disease with fatal risk. The model includes as extreme cases the standard general epidemic process (for diseases that confer immunity after infection) and the fatal epidemic process (for diseases that lead inevitably to death). Both deterministic and stochastic versions are examined. First, attention is paid to the temporal and final states of epidemic. Then the existence of a threshold phenomenon and the qualitative effect of the fatal risk are investigated.
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