Analysis of a Disease Transmission Model with two Groups of Infectives

2000/10/15 by M. R. Razvan, Razvan, M. R.
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #Mathematical and Theoretical Epidemiology and Ecology Models #math.CA #msc:92A15 #q-bio

paper · pdf · doi:10.48550/arxiv.math/0010150

12 pages, 1 figure

arxiv created 2000/10/15 · arxiv updated 2009/11/30

Abstract

In this paper, we give a complete analysis of an SIS epidemiological model in a population of varying size with two dissimilar groups of infective individuals. It is mainly based on the discussion of the existence and stability of equilibria of the proportions system and the result is in terms of a threshold parameter which governs the stability of the disease free equilibrium.

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