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The Dynamics of a Vertically Transmitted Disease

M. R. Razvan

math.CAarXiv:math/0009223

Abstract

An SIRS epidemiological model for a vertically transmitted disease is discussed. We give a complete global analysis in terms of three explicit threshold parameters which respectively govern the existence and stability of an endemic proportion equilibrium, the increase of the total population and the growth of the infective population. This paper gereralize the results of Busenberg and van den Driessche.

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