Epidemic reaction-diffusion systems with two types of boundary conditions

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dc.contributor.authorLi, Kehua
dc.contributor.authorLi, Jiemei
dc.contributor.authorWang, Wei
dc.date.accessioned2022-03-09T18:49:44Z
dc.date.available2022-03-09T18:49:44Z
dc.date.issued2018-10-11
dc.description.abstractWe investigate an epidemic reaction-diffusion system with two different types of boundary conditions. For the problem with the Neumann boundary condition, the global dynamics is fully determined by the basic reproduction number R0. For the problem with the free boundary condition, the disease will vanish if the basic reproduction number R0 < 1 or the initial infected radius g0 is sufficiently small. Furthermore, it is shown that the disease will spread to the whole domain if R0 > 1 and the initial infected radius g0 is suitably large. Main results reveal that besides the basic reproduction number, the size of initial epidemic region and the diffusion rates of the disease also have an important influence to the disease transmission.
dc.description.departmentMathematics
dc.formatText
dc.format.extent21 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLi, K., Li, J., & Wang, W. (2018). Epidemic reaction-diffusion systems with two types of boundary conditions. <i>Electronic Journal of Differential Equations, 2018</i>(170), pp. 1-21.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15466
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, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectSIRS model
dc.subjectReaction-diffusion system
dc.subjectGlobal dynamics
dc.subjectNeumann boundary condition
dc.subjectFree boundary condition
dc.titleEpidemic reaction-diffusion systems with two types of boundary conditionsen_US
dc.typeArticle

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