On a basic model of a two-disease epidemic

Blyuss, Konstantin B and Kyrychko, Yuliya N (2005) On a basic model of a two-disease epidemic. Applied Mathematics and Computation, 160 (1). pp. 177-187. ISSN 0096-3003

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Abstract

This paper considers a basic model for a spread of two diseases in a population. The equilibria of the model are found, and their stability is investigated. In particular, we prove the stability result for a disease-free and a one-disease steady-states. Bifurcation diagrams are used to analyse the stability of possible branches of equilibria, and also they indicate the existence of a co-infected equilibrium with both diseases present. Finally, numerical simulations of the model are performed to study the behaviour of the solutions in different regions of the parameter space.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: Konstantin Blyuss
Date Deposited: 06 Feb 2012 20:17
Last Modified: 07 Jun 2012 09:34
URI: http://sro.sussex.ac.uk/id/eprint/25183
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