Global stability of a multistrain SIS model with superinfection

Attila Dénes; Yoshiaki Muroya; Gergely Röst

doi:10.3934/mbe.2017026

Article Contents

2017, Volume 14, Issue 2: 421-435. Doi: 10.3934/mbe.2017026

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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
*Corresponding author: Attila Dénes

Received: October 06, 2015

Revised: August 09, 2016

Published: September 2016

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Abstract

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.

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Mathematics Subject Classification: Primary: 37B25, 37C70; Secondary: 92D30.

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References

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