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Convergence of a Logistic Type Ultradiscrete Model
Joint Authors
Nakata, Yukihiko
Sekiguchi, Masaki
Ishiwata, Emiko
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-27
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We derive a piecewise linear difference equation from logistic equations with time delay by ultradiscretization.
The logistic equation that we consider in this paper has been shown to be globally stable in the continuous and discrete time formulations.
Here, we study if ultradiscretization preserves the global stability property, analyzing the asymptotic behaviour of the obtained piecewise linear difference equation.
It is shown that our piecewise linear difference equation has a threshold property concerning global attractivity of equilibria, similar to the stable logistic equations with time delay.
American Psychological Association (APA)
Sekiguchi, Masaki& Ishiwata, Emiko& Nakata, Yukihiko. 2017. Convergence of a Logistic Type Ultradiscrete Model. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-6.
https://search.emarefa.net/detail/BIM-1151753
Modern Language Association (MLA)
Sekiguchi, Masaki…[et al.]. Convergence of a Logistic Type Ultradiscrete Model. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-6.
https://search.emarefa.net/detail/BIM-1151753
American Medical Association (AMA)
Sekiguchi, Masaki& Ishiwata, Emiko& Nakata, Yukihiko. Convergence of a Logistic Type Ultradiscrete Model. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-6.
https://search.emarefa.net/detail/BIM-1151753
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151753