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April  2017, 14(2): 421-435. doi: 10.3934/mbe.2017026

Global stability of a multistrain SIS model with superinfection

 1 Bolyai Institute, University of Szeged, Aradi vértanúk tere 1., Szeged, H-6720, Hungary 2 Department of Mathematics, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan 3 Bolyai Institute, University of Szeged, Aradi vértanúk tere 1., Szeged, H-6720, Hungary

*Corresponding author: Attila Dénes

Dedicated to the memory of Professor Yoshiaki Muroya who passed away in 2015 after the submission of this paper

Received  October 07, 2015 Revised  August 10, 2016 Published  October 2016

In this paper, we study the global stability of a multistrain SIS model with superinfection. We present an iterative procedure to calculate a sequence of reproduction numbers, and we prove that it completely determines the global dynamics of the system. We show that for any number of strains with different infectivities, the stable coexistence of any subset of the strains is possible, and we completely characterize all scenarios. As an example, we apply our method to a three-strain model.

Citation: Attila Dénes, Yoshiaki Muroya, Gergely Röst. Global stability of a multistrain SIS model with superinfection. Mathematical Biosciences & Engineering, 2017, 14 (2) : 421-435. doi: 10.3934/mbe.2017026
References:

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