Stability analysis of an age-structured viral infection model with latency

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dc.contributor.authorLi, Chunyang
dc.contributor.authorDong, Xiu
dc.contributor.authorWang, Jinliang
dc.date.accessioned2023-04-12T16:27:19Z
dc.date.available2023-04-12T16:27:19Z
dc.date.issued2022-02-28
dc.description.abstractAge structure and cell-to-cell transmission are two major infection mechanisms in modeling spread of infectious diseases. We propose an age-structured viral infection model with latency, infection age-structure and cell-to-cell transmission. This paper aims to reveal the basic reproduction number and prove it to be a sharp threshold determining whether the infection dies out or not. Mathematical analysis is presented on relative compactness of the orbit, existence of a global attractor, and uniform persistence of system. We further investigate local and global stability of the infection-free and infection equilibrium.
dc.description.departmentMathematics
dc.formatText
dc.format.extent26 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLi, C., Dong, X., & Wang, J. (2022). Stability analysis of an age-structured viral infection model with latency. <i>Electronic Journal of Differential Equations, 2022</i>(16), pp. 1-26.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16563
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, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectAge-structured model
dc.subjectCell-to-cell transmission
dc.subjectUniform persistence
dc.subjectGlobal stability
dc.subjectLyapunov function
dc.subjectBasic reproduction number
dc.titleStability analysis of an age-structured viral infection model with latency
dc.typeArticle

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