The Dynamics of a Vertically Transmitted Disease

2000/09/26 by M. R. Razvan, Razvan, M. R.
Biochemistry, Genetics and Molecular Biology · Mathematics · #92D30 #Classical Analysis and ODEs (math.CA) #FOS: Biological sciences #FOS: Mathematics #Quantitative Biology (q-bio) #math.CA #msc:92D30 #q-bio

paper · pdf · doi:10.48550/arxiv.math/0009223

13 pages, 3 figures

arxiv created 2001/02/18 · arxiv updated 2009/11/30

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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