High order discretization methods for spatial-dependent epidemic models
dc.bibliographicCitation.firstPage | 211 | |
dc.bibliographicCitation.journalTitle | Mathematics and computers in simulation : transactions of IMACS | eng |
dc.bibliographicCitation.lastPage | 236 | |
dc.bibliographicCitation.volume | 198 | |
dc.contributor.author | Takács, Bálint | |
dc.contributor.author | Hadjimichael, Yiannis | |
dc.date.accessioned | 2022-06-23T08:53:51Z | |
dc.date.available | 2022-06-23T08:53:51Z | |
dc.date.issued | 2022 | |
dc.description.abstract | In this paper, an epidemic model with spatial dependence is studied and results regarding its stability and numerical approximation are presented. We consider a generalization of the original Kermack and McKendrick model in which the size of the populations differs in space. The use of local spatial dependence yields a system of partial-differential equations with integral terms. The uniqueness and qualitative properties of the continuous model are analyzed. Furthermore, different spatial and temporal discretizations are employed, and step-size restrictions for the discrete model’s positivity, monotonicity preservation, and population conservation are investigated. We provide sufficient conditions under which high-order numerical schemes preserve the stability of the computational process and provide sufficiently accurate numerical approximations. Computational experiments verify the convergence and accuracy of the numerical methods. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9129 | |
dc.identifier.uri | https://doi.org/10.34657/8167 | |
dc.language.iso | eng | eng |
dc.publisher | Amsterdam [u.a.] : Elsevier Science | |
dc.relation.doi | https://doi.org/10.1016/j.matcom.2022.02.021 | |
dc.relation.essn | 1872-7166 | |
dc.rights.license | CC BY-NC-ND 4.0 Unported | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.subject.ddc | 004 | |
dc.subject.other | Epidemic models | eng |
dc.subject.other | Integro-differential equations | eng |
dc.subject.other | SIR model | eng |
dc.subject.other | Strong stability preservation | eng |
dc.title | High order discretization methods for spatial-dependent epidemic models | eng |
dc.type | Article | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | ger |
wgl.subject | Informatik | ger |
wgl.subject | Mathematik | ger |
wgl.type | Zeitschriftenartikel | ger |
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