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Global stability of a multistrain SIS model with superinfection and patch structure
Author(s) -
Dénes Attila,
Muroya Yoshiaki,
Röst Gergely
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6636
Subject(s) - superinfection , mathematics , stability (learning theory) , sequence (biology) , nonlinear system , pure mathematics , biology , virology , computer science , virus , physics , genetics , quantum mechanics , machine learning
We study the global stability of a multistrain SIS model with superinfection and patch structure. We establish an iterative procedure to obtain a sequence of threshold parameters. By a repeated application of a result by Takeuchi et al. [ Nonlinear Anal Real World Appl . 2006;7:235–247], we show that these parameters completely determine the global dynamics of the system: for any number of patches and strains with different infectivities, any subset of the strains can stably coexist depending on the particular choice of the parameters.