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On a basic model of a two-disease epidemic

journal contribution
posted on 2023-06-08, 05:46 authored by Konstantin BlyussKonstantin Blyuss, Yuliya KyrychkoYuliya Kyrychko
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.

History

Publication status

  • Published

Journal

Applied Mathematics and Computation

ISSN

0096-3003

Publisher

Elsevier

Issue

1

Volume

160

Page range

177-187

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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