Displaying similar documents to “Equivalence and zero sets of certain maps in infinite dimensions”

Kermack-McKendrick epidemics vaccinated

Jakub Staněk (2008)

Kybernetika

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This paper proposes a deterministic model for the spread of an epidemic. We extend the classical Kermack–McKendrick model, so that a more general contact rate is chosen and a vaccination added. The model is governed by a differential equation (DE) for the time dynamics of the susceptibles, infectives and removals subpopulation. We present some conditions on the existence and uniqueness of a solution to the nonlinear DE. The existence of limits and uniqueness of maximum of infected individuals...

Absorption in stochastic epidemics

Josef Štěpán, Jakub Staněk (2009)

Kybernetika

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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 Section 5 are meant to illustrate possible different asymptotics of a solution to the equation.