The exact and asymptotic formulas for the state probabilities in simple epidemics with m kinds of susceptibles

The exact and asymptotic formulas for the state probabilities in simple epidemics with m kinds of susceptibles

A population of susceptible individuals partitioned into m groups and exposed to a contagious disease is considered. The progress of this simple epidemic is modeled by an m -dimensional stochastic process, whose components are the number of infective individuals in the respective groups at time t. E...

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Veröffentlicht in:Journal of applied probability 1982-03, Vol.19 (1), p.1-9
Hauptverfasser: Lacayo, H., Langberg, Naftali A.
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description A population of susceptible individuals partitioned into m groups and exposed to a contagious disease is considered. The progress of this simple epidemic is modeled by an m -dimensional stochastic process, whose components are the number of infective individuals in the respective groups at time t. Exact and approximate formulas for the joint and marginal state probabilities are obtained.
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title The exact and asymptotic formulas for the state probabilities in simple epidemics with m kinds of susceptibles
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