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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 KyrychkoThis 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.
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Publication status
- Published
Journal
Applied Mathematics and ComputationISSN
0096-3003Publisher
ElsevierExternal DOI
Issue
1Volume
160Page range
177-187Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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