Abstract
In this paper, a two-strain epidemic model on a complex network is proposed. The two strains are the drug-sensitive strain and the drug-resistant strain. The related basic reproduction numbers Rs and Rr are obtained. If R0 = maxfRs;Rrg < 1, then the disease-free equilibrium is globally asymptot-ically stable. If Rr > 1, then there is a unique drug-resistant strain dominated equilibrium Er, which is locally asymptotically stable if the invasion repro-duction number Rs r < 1. If Rs > 1 and Rs > Rr, then there is a unique coexistence equilibrium E. The persistence of the model is also proved. The theoretical results are supported with numerical simulations.
Original language | English |
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Pages (from-to) | 2851-2866 |
Number of pages | 16 |
Journal | Discrete and Continuous Dynamical Systems - Series B |
Volume | 21 |
Issue number | 8 |
DOIs | |
Publication status | Published - Oct 2016 |
Scopus Subject Areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics
User-Defined Keywords
- Complex network
- Drug-resistant strain
- Drug-sensitive strain
- Stability