Dynamics of a diffusion epidemic SIRI system in heterogeneous environment.

Li, W; Zhang, Y; Ji, J; Huang, L

Dynamics of a diffusion epidemic SIRI system in heterogeneous environment.

Li, W Zhang, Y Ji, J

Huang, L

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Publisher:: SPRINGER INT PUBL AG
Publication Type:: Journal Article
Citation:: Z Angew Math Phys, 2023, 74, (3), pp. 104
Issue Date:: 2023

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Field	Value	Language
dc.contributor.author	Li, W
dc.contributor.author	Zhang, Y
dc.contributor.author	Ji, J https://orcid.org/0000-0003-3280-5463
dc.contributor.author	Huang, L
dc.date.accessioned	2023-11-07T02:05:04Z
dc.date.available	2023-04-14
dc.date.available	2023-11-07T02:05:04Z
dc.date.issued	2023
dc.identifier.citation	Z Angew Math Phys, 2023, 74, (3), pp. 104
dc.identifier.issn	0044-2275
dc.identifier.issn	1420-9039
dc.identifier.uri	http://hdl.handle.net/10453/173140
dc.description.abstract	This paper studies the dynamical behaviors of a diffusion epidemic SIRI system with distinct dispersal rates. The overall solution of the system is derived by using L p theory and the Young's inequality. The uniformly boundedness of the solution is obtained for the system. The asymptotic smoothness of the semi-flow and the existence of the global attractor are discussed. Moreover, the basic reproduction number is defined in a spatially uniform environment and the threshold dynamical behaviors are obtained for extinction or continuous persistence of disease. When the spread rate of the susceptible individuals or the infected individuals is close to zero, the asymptotic profiles of the system are studied. This can help us to better understand the dynamic characteristics of the model in a bounded space domain with zero flux boundary conditions.
dc.format	Print-Electronic
dc.language	eng
dc.publisher	SPRINGER INT PUBL AG
dc.relation.ispartof	Z Angew Math Phys
dc.relation.isbasedon	10.1007/s00033-023-02002-z
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0102 Applied Mathematics, 0105 Mathematical Physics
dc.subject.classification	Applied Mathematics
dc.subject.classification	4901 Applied mathematics
dc.title	Dynamics of a diffusion epidemic SIRI system in heterogeneous environment.
dc.type	Journal Article
utslib.citation.volume	74
utslib.location.activity	Switzerland
utslib.for	0102 Applied Mathematics
utslib.for	0105 Mathematical Physics
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
utslib.copyright.status	closed_access	*
dc.date.updated	2023-11-07T02:05:02Z
pubs.issue	3
pubs.publication-status	Published
pubs.volume	74
utslib.citation.issue	3

Abstract:

This paper studies the dynamical behaviors of a diffusion epidemic SIRI system with distinct dispersal rates. The overall solution of the system is derived by using L p theory and the Young's inequality. The uniformly boundedness of the solution is obtained for the system. The asymptotic smoothness of the semi-flow and the existence of the global attractor are discussed. Moreover, the basic reproduction number is defined in a spatially uniform environment and the threshold dynamical behaviors are obtained for extinction or continuous persistence of disease. When the spread rate of the susceptible individuals or the infected individuals is close to zero, the asymptotic profiles of the system are studied. This can help us to better understand the dynamic characteristics of the model in a bounded space domain with zero flux boundary conditions.

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http://hdl.handle.net/10453/173140