The Dynamics of a Vertically Transmitted Disease
Classical Analysis and ODEs
2007-05-23 v2 q-bio
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.
Keywords
Cite
@article{arxiv.math/0009223,
title = {The Dynamics of a Vertically Transmitted Disease},
author = {M. R. Razvan},
journal= {arXiv preprint arXiv:math/0009223},
year = {2007}
}
Comments
13 pages, 3 figures