Control in Biological Systems and Medicine

General birth and death processes and elementary stochastic models of epidemics

A. I. Zeifman

Vologda

Abstract: The coucept of a general birth and death process is introduced. As the probabilities of state in the case of a periodic transition intensity matrix are studied. A way to find the extreme mode is described. For illustration, stochastic epidemics models are described as particular cases of the process.

UDC: 519.283, 616-036.22


Received: 31.01.1984

 English version: Automation and Remote Control, 1985, 46, 789–795

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