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Hopf Bifurcation and Hybrid Control of a Delayed Ecoepidemiological Model with Nonlinear Incidence Rate and Holling Type II Functional Response
Joint Authors
Lim, C. W.
Zhang, Zhengdi
Peng, Miao
Wang, Xuedi
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-07
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Hopf bifurcation analysis of a delayed ecoepidemiological model with nonlinear incidence rate and Holling type II functional response is investigated.
By analyzing the corresponding characteristic equations, the conditions for the stability and existence of Hopf bifurcation for the system are obtained.
In addition, a hybrid control strategy is proposed to postpone the onset of an inherent bifurcation of the system.
By utilizing normal form method and center manifold theorem, the explicit formulas that determine the direction of Hopf bifurcation and the stability of bifurcating period solutions of the controlled system are derived.
Finally, some numerical simulation examples confirm that the hybrid controller is efficient in controlling Hopf bifurcation.
American Psychological Association (APA)
Peng, Miao& Zhang, Zhengdi& Lim, C. W.& Wang, Xuedi. 2018. Hopf Bifurcation and Hybrid Control of a Delayed Ecoepidemiological Model with Nonlinear Incidence Rate and Holling Type II Functional Response. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1208182
Modern Language Association (MLA)
Peng, Miao…[et al.]. Hopf Bifurcation and Hybrid Control of a Delayed Ecoepidemiological Model with Nonlinear Incidence Rate and Holling Type II Functional Response. Mathematical Problems in Engineering No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1208182
American Medical Association (AMA)
Peng, Miao& Zhang, Zhengdi& Lim, C. W.& Wang, Xuedi. Hopf Bifurcation and Hybrid Control of a Delayed Ecoepidemiological Model with Nonlinear Incidence Rate and Holling Type II Functional Response. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1208182
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1208182