The Dynamics of a Vertically Transmitted Disease

Details The Dynamics of a Vertically Transmitted Disease The Dynamics of a Vertically Transmitted Disease

2000-09-26

arxiv.org/abs/math/0009223v2

Mathematics

Classical Analysis and ODEs

13 pages, 3 figures

Scientific paper

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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