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Zbl 1165.92319
Štěpán, Josef; Staněk, Jakub
Absorption in stochastic epidemics. (English)
[J] Kybernetika 45, No. 3, 458-474 (2009). ISSN 0023-5954

Summary: A two dimensional stochastic differential equation is suggested as a stochastic model for the Kermack-McKendrick epidemics. Its strong (weak) existence and uniqueness and absorption properties are investigated. The examples presented in the last section are meant to illustrate possible different asymptotics of solutions to the equation.
MSC 2000:
*92D30 Epidemiology
60H10 Stochastic ordinary differential equations

Keywords: SIR epidemic models; stochastic epidemic models; stochastic differential equation; strong solution; weak solution; absorption; Kermack-McKendrick model

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