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We study the global stability of a multistrain SIS model with superinfectionand patch structure. We establish an iterative procedure to obtain a sequenceof threshold parameters. By a repeated application of a result by Takeuchi etal. [Nonlinear Anal Real World Appl. 2006 7:235-247], we show that theseparameters completely determine the global dynamics of the system: for anynumber of patches and strains with different infectivities, any subset of thestrains can stably coexist depending on the particular choice of theparameters. Finally, we return to the special case of one patch examined in[Math Biosci Eng. 2017 14:421-35] and give a correction to the proof of Theorem2.2 of that paper.

Global stability of a multistrain SIS model with superinfection and patch structure