Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9507289 | Applied Mathematics and Computation | 2005 | 11 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Konstantin B. Blyuss, Yuliya N. Kyrychko,