Relationship between addicts with incurable diseases in an epidemic model

In the paper, the authors put two drug strains under various levels of competition and establish that cross‐immunity and host isolation lead to periodic epidemic outbreaks in the multistrain system. For the model, by the reproduction number of strain one, R1, and the reproduction number of strain tw...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2021-06, Vol.44 (9), p.7820-7833
Main Authors: Pourhosseini, Malek, Memarbashi, Reza
Format: Article
Language:English
Subjects:
backward bifurcation
Epidemics
global stability
Lyapunov function
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Summary:In the paper, the authors put two drug strains under various levels of competition and establish that cross‐immunity and host isolation lead to periodic epidemic outbreaks in the multistrain system. For the model, by the reproduction number of strain one, R1, and the reproduction number of strain two, R2, they show local and global stability and backward bifurcation under suitable conditions.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7011