Globally exponentially stable periodic solution in a general delayed predator-prey model under discontinuous prey control strategy

Li, W; Huang, L; Ji, J; Ei, SI

Globally exponentially stable periodic solution in a general delayed predator-prey model under discontinuous prey control strategy

Li, W Huang, L Ji, J

Ei, SI

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Publisher:: AMER INST MATHEMATICAL SCIENCES-AIMS
Publication Type:: Journal Article
Citation:: Discrete and Continuous Dynamical Systems - Series B, 2020, 25, (7), pp. 2639-2664
Issue Date:: 2020-07-01

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Field	Value	Language
dc.contributor.author	Li, W
dc.contributor.author	Huang, L
dc.contributor.author	Ji, J https://orcid.org/0000-0003-3280-5463
dc.contributor.author	Ei, SI
dc.date.accessioned	2021-06-03T21:14:52Z
dc.date.available	2021-06-03T21:14:52Z
dc.date.issued	2020-07-01
dc.identifier.citation	Discrete and Continuous Dynamical Systems - Series B, 2020, 25, (7), pp. 2639-2664
dc.identifier.issn	1531-3492
dc.identifier.issn	1553-524X
dc.identifier.uri	http://hdl.handle.net/10453/149401
dc.description.abstract	This paper studies the solution behaviour of a general delayed predator-prey model with discontinuous prey control strategy. The positiveness and boundeness of the solution of the system is firstly investigated using the comparison theorem. Then the sufficient conditions are derived for the existence of positive periodic solutions using the differential inclusion theory and the topological degree theory. Furthermore, the positive periodic solution is proved to be globally exponentially stable by employing the generalized Lyapunov approach. The global finite-time convergence is also discussed for the system state. Finally, the numerical simulations of four examples are given to validate the correctness of the theoretical results.
dc.language	English
dc.publisher	AMER INST MATHEMATICAL SCIENCES-AIMS
dc.relation.ispartof	Discrete and Continuous Dynamical Systems - Series B
dc.relation.isbasedon	10.3934/dcdsb.2020026
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	0101 Pure Mathematics, 0102 Applied Mathematics
dc.subject.classification	Applied Mathematics
dc.title	Globally exponentially stable periodic solution in a general delayed predator-prey model under discontinuous prey control strategy
dc.type	Journal Article
utslib.citation.volume	25
utslib.for	0102 Applied Mathematics
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	open_access	*
dc.date.updated	2021-06-03T21:14:51Z
pubs.issue	7
pubs.publication-status	Published
pubs.volume	25
utslib.citation.issue	7

Abstract:

This paper studies the solution behaviour of a general delayed predator-prey model with discontinuous prey control strategy. The positiveness and boundeness of the solution of the system is firstly investigated using the comparison theorem. Then the sufficient conditions are derived for the existence of positive periodic solutions using the differential inclusion theory and the topological degree theory. Furthermore, the positive periodic solution is proved to be globally exponentially stable by employing the generalized Lyapunov approach. The global finite-time convergence is also discussed for the system state. Finally, the numerical simulations of four examples are given to validate the correctness of the theoretical results.

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http://hdl.handle.net/10453/149401