"Coexistence results for a spatial stochastic epidemic model",
( with Rinald B. Schinazi, Norio Konno )
Markov Processes and Related Fields, 10(2004), 367-376.
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We introduce a spatial stochastic model for
infectious diseases, such as influenza, that do not confer immunity and from
which
one usually recovers. We prove the existence of an endemic state in any
dimension
for any strictly positive value of the recovery rate. This is in sharp
contrast with
what happens for the model with no recovery in $d=1$ for which it is known
that
the disease dies out for all parameters values.
