Bifurcation Analysis and Chaos Control in a Discrete-Time Parasite-Host Model
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-23
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
A discrete-time parasite-host system with bifurcation is investigated in detail in this paper.
The existence and stability of nonnegative fixed points are explored and the conditions for the existence of flip bifurcation and Neimark-Sacker bifurcation are derived by using the center manifold theorem and bifurcation theory.
And we also prove the chaos in the sense of Marotto.
The numerical simulations not only illustrate the consistence with the theoretical analysis, but also exhibit other complex dynamical behaviors, such as bifurcation diagrams, Maximum Lyapunov exponents, and phase portraits.
More specifically, when the integral step size is chosen as a bifurcation parameter, this paper presents the finding of period orbits, attracting invariant cycles and chaotic attractors of the discrete-time parasite-host system.
Specifically, we have stabilized the chaotic orbits at an unstable fixed point by using the feedback control method.
American Psychological Association (APA)
Chen, Xueli& Ren, Lishun. 2017. Bifurcation Analysis and Chaos Control in a Discrete-Time Parasite-Host Model. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-17.
https://search.emarefa.net/detail/BIM-1151931
Modern Language Association (MLA)
Chen, Xueli& Ren, Lishun. Bifurcation Analysis and Chaos Control in a Discrete-Time Parasite-Host Model. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-17.
https://search.emarefa.net/detail/BIM-1151931
American Medical Association (AMA)
Chen, Xueli& Ren, Lishun. Bifurcation Analysis and Chaos Control in a Discrete-Time Parasite-Host Model. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-17.
https://search.emarefa.net/detail/BIM-1151931
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151931