Competitive exclusion in a multi-strain SIS epidemic model on complex networks

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dc.contributor.authorYang, Junyuan
dc.contributor.authorKuniya, Toshikazu
dc.contributor.authorLuo, Xiaofeng
dc.date.accessioned2021-10-13T19:57:21Z
dc.date.available2021-10-13T19:57:21Z
dc.date.issued2019-01-14
dc.description.abstractIn this article, we propose an infection age-structured multi-strain SIS epidemic model on complex networks. We obtain the reproduction numbers for each strain by using the classical theory of renewal equations, and we define the basic reproduction number R0 for the whole system by the maximum of them. We prove that if R0 < 1, then the disease-free equilibrium of the model is globally asymptotically stable, whereas if R0 > 1, then there exists an endemic equilibrium in which only one strain with the largest reproduction number survives. Moreover, under an additional assumption that the recovery rate is homogeneous, we prove that such an endemic equilibrium is globally asymptotically stable. Interestingly, our theoretical results imply that the competitive exclusion can occur in a sense that only one strain with the largest reproduction number survives.
dc.description.departmentMathematics
dc.formatText
dc.format.extent30 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationYang, J., Kuniya, T., & Lu, X. (2019). Competitive exclusion in a multi-strain SIS epidemic model on complex networks. <i>Electronic Journal of Differential Equations, 2019</i>(06), pp. 1-30.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14649
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectMulti-strain SIS epidemic model
dc.subjectComplex network
dc.subjectInfection age
dc.subjectBasic reproduction number
dc.subjectGlobal stability
dc.subjectCompetitive exclusion
dc.titleCompetitive exclusion in a multi-strain SIS epidemic model on complex networks
dc.typeArticle

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