Stability Analysis of a Fractional Order Modified Leslie-Gower Model with Additive Allee Effect
Joint Authors
Suryanto, Agus
Darti, Isnani
Anam, Syaiful
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-05-28
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We analyze the dynamics of a fractional order modified Leslie-Gower model with Beddington-DeAngelis functional response and additive Allee effect by means of local stability.
In this respect, all possible equilibria and their existence conditions are determined and their stability properties are established.
We also construct nonstandard numerical schemes based on Grünwald-Letnikov approximation.
The constructed scheme is explicit and maintains the positivity of solutions.
Using this scheme, we perform some numerical simulations to illustrate the dynamical behavior of the model.
It is noticed that the nonstandard Grünwald-Letnikov scheme preserves the dynamical properties of the continuous model, while the classical scheme may fail to maintain those dynamical properties.
American Psychological Association (APA)
Suryanto, Agus& Darti, Isnani& Anam, Syaiful. 2017. Stability Analysis of a Fractional Order Modified Leslie-Gower Model with Additive Allee Effect. International Journal of Mathematics and Mathematical Sciences،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1167768
Modern Language Association (MLA)
Suryanto, Agus…[et al.]. Stability Analysis of a Fractional Order Modified Leslie-Gower Model with Additive Allee Effect. International Journal of Mathematics and Mathematical Sciences No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1167768
American Medical Association (AMA)
Suryanto, Agus& Darti, Isnani& Anam, Syaiful. Stability Analysis of a Fractional Order Modified Leslie-Gower Model with Additive Allee Effect. International Journal of Mathematics and Mathematical Sciences. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1167768
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1167768