Dynamics of a competing two-strain SIS epidemic model on complex networks with a saturating incidence rate

This paper studies a two-strain SIS epidemic model with a competing mechanism and a saturating incidence rate on complex networks. This type of incidence rate can be used to reflect the crowding effect of the infective individuals. We first obtain the associated reproduction numbers for each of the...

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Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 49; no. 21; pp. 215601 - 215620
Main Authors Yang, Junyuan, Li, Chun-Hsien
Format Journal Article
LanguageEnglish
Published IOP Publishing 27.05.2016
Subjects
coexistence
complex network
epidemic model
saturating incidence
stability
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Summary:This paper studies a two-strain SIS epidemic model with a competing mechanism and a saturating incidence rate on complex networks. This type of incidence rate can be used to reflect the crowding effect of the infective individuals. We first obtain the associated reproduction numbers for each of the two strains which determine the existence of the boundary equilibria. The stability of the disease-free and boundary equilibria are further examined. Besides this, we also show that the two competing strains can coexist under certain conditions. Interestingly, the saturating incidence rate can have specific effects on not only the stability of the boundary equilibria, but also the existence of the coexistence equilibrium. Numerical simulations are presented to support the theoretical results.
Bibliography:JPhysA-105237.R1
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/49/21/215601