Global stability of a multistrain SIS model with superinfection and patch structure |
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| Authors: | Attila Dénes Yoshiaki Muroya Gergely Röst |
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| Institution: | 1. Bolyai Institute, University of Szeged, Szeged, Hungary;2. Department of Mathematics, Waseda University, Tokyo, Japan |
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| Abstract: | 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. |
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| Keywords: | global asymptotic stability multigroup epidemic model multistrain model patch model |
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