Complex Behavior Analysis of a Fractional-Order Land Dynamical Model with Holling-II Type Land Reclamation Rate on Time Delay
Joint Authors
Wu, Li
Zhang, Yuan
Xie, Binggeng
Li, Zhouhong
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-25
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, a fractional-order land model with Holling-II type transformation rate and time delay is investigated.
First of all, the variable-order fractional derivative is defined in the Caputo type.
Second, by applying time delay as the bifurcation parameter, some criteria to determine the stability and Hopf bifurcation of the model are presented.
It turns out that the time delay can drive the model to be oscillatory, even when its steady state is stable.
Finally, one numerical example is proposed to justify the validity of theoretical analysis.
These results may provide insights to the development of a reasonable strategy to control land-use change.
American Psychological Association (APA)
Wu, Li& Li, Zhouhong& Zhang, Yuan& Xie, Binggeng. 2020. Complex Behavior Analysis of a Fractional-Order Land Dynamical Model with Holling-II Type Land Reclamation Rate on Time Delay. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1152780
Modern Language Association (MLA)
Wu, Li…[et al.]. Complex Behavior Analysis of a Fractional-Order Land Dynamical Model with Holling-II Type Land Reclamation Rate on Time Delay. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1152780
American Medical Association (AMA)
Wu, Li& Li, Zhouhong& Zhang, Yuan& Xie, Binggeng. Complex Behavior Analysis of a Fractional-Order Land Dynamical Model with Holling-II Type Land Reclamation Rate on Time Delay. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1152780
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152780