Global dynamics of a controlled discontinuous diffusive SIR epidemic system

Li, W; Ji, J; Huang, L; Guo, Z

Global dynamics of a controlled discontinuous diffusive SIR epidemic system

Li, W Ji, J

Huang, L Guo, Z

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Publisher:: PERGAMON-ELSEVIER SCIENCE LTD
Publication Type:: Journal Article
Citation:: Applied Mathematics Letters, 2021, 121
Issue Date:: 2021-11-01

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Field	Value	Language
dc.contributor.author	Li, W
dc.contributor.author	Ji, J https://orcid.org/0000-0003-3280-5463
dc.contributor.author	Huang, L
dc.contributor.author	Guo, Z
dc.date.accessioned	2022-04-30T20:23:44Z
dc.date.available	2022-04-30T20:23:44Z
dc.date.issued	2021-11-01
dc.identifier.citation	Applied Mathematics Letters, 2021, 121
dc.identifier.issn	0893-9659
dc.identifier.issn	1873-5452
dc.identifier.uri	http://hdl.handle.net/10453/156860
dc.description.abstract	In this work, we investigate the global dynamics of a controlled discontinuous diffusive SIR epidemic system under Neumann boundary conditions. We first establish the conditions for the existence of the solution and obtain the boundedness of the solution for the controlled discontinuous diffusive system. Then, under the framework of differential inclusion, we study the existence of constant equilibria of the controlled diffusive epidemic system. Furthermore, we discuss the global dynamical behaviour of the controlled discontinuous diffusive epidemic system.
dc.language	English
dc.publisher	PERGAMON-ELSEVIER SCIENCE LTD
dc.relation.ispartof	Applied Mathematics Letters
dc.relation.isbasedon	10.1016/j.aml.2021.107420
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0101 Pure Mathematics, 0102 Applied Mathematics
dc.subject.classification	Applied Mathematics
dc.title	Global dynamics of a controlled discontinuous diffusive SIR epidemic system
dc.type	Journal Article
utslib.citation.volume	121
utslib.for	0101 Pure Mathematics
utslib.for	0102 Applied Mathematics
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	2022-04-30T20:23:43Z
pubs.publication-status	Published
pubs.volume	121

Abstract:

In this work, we investigate the global dynamics of a controlled discontinuous diffusive SIR epidemic system under Neumann boundary conditions. We first establish the conditions for the existence of the solution and obtain the boundedness of the solution for the controlled discontinuous diffusive system. Then, under the framework of differential inclusion, we study the existence of constant equilibria of the controlled diffusive epidemic system. Furthermore, we discuss the global dynamical behaviour of the controlled discontinuous diffusive epidemic system.

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http://hdl.handle.net/10453/156860