An Age-Structured Diffusive Model for Epidemic Modelling: Lie Symmetries and Exact Solutions

Simple item page
dc.contributor.authorCherniha, Romanen_US
dc.contributor.authorDavydovych, Vasyl’en_US
dc.date.accessioned2025-11-05T14:15:35Z
dc.date.available2025-11-05T14:15:35Z
dc.date.issued2025
dc.description.abstractA new age-structured diffusive model for the mathematical modelling of epidemics is suggested. The model can be considered as a generalization of two models suggested earlier for similar purposes. The Lie symmetry classification of the model is derived. It is shown that themodel admits an infinite-dimensional Lie algebra of invariance. Using the Lie symmetries, exact solutions, in particular those of the travelling wave types and in terms of special functions, are constructed. Examples of application of exact solutions with the correctly-specified parameters for calculation of the total number of infected individuals during an epidemic are presented.en_US
dc.identifier.citationCherniha R. M. An Age-Structured Diffusive Model for Epidemic Modelling: Lie Symmetries and Exact Solutions / Roman Cherniha, Vasyl’ Davydovych // Qualitative Theory of Dynamical Systems. - 2025. - Vol. 24. - Аrticle number 181. - https://doi.org/10.1007/s12346-025-01340-9en_US
dc.identifier.issn1575-5460
dc.identifier.urihttps://doi.org/10.1007/s12346-025-01340-9
dc.identifier.urihttps://ekmair.ukma.edu.ua/handle/123456789/37396
dc.language.isoenen_US
dc.relation.sourceQualitative Theory of Dynamical Systemsen_US
dc.statusfirst publisheden_US
dc.subjectmathematical modelling of epidemicsen_US
dc.subjectLie symmetry classificationen_US
dc.subjectinfinite-dimensional Lie algebra of invarianceen_US
dc.subjectarticleen_US
dc.titleAn Age-Structured Diffusive Model for Epidemic Modelling: Lie Symmetries and Exact Solutionsen_US
dc.typeArticleen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Cherniha_Davydovych_An_Age-Structured_Diffusive_Model_for_Epidemic_Modelling_Lie_Symmetries_and_Exact_Solutions.pdf
Size:
567.56 KB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Кафедра математики