Dynamical Analysis of Fractional-Order Hastings-Powell Food Chain Model with Alternative Food
| Main Authors: | Huda, Moh Nurul, Trisilowati, Trisilowati, Suryanto, Agus |
|---|---|
| Format: | Article info application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
Graduate School, University of Brawijaya
, 2017
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| Online Access: |
https://jels.ub.ac.id/index.php/jels/article/view/216 https://jels.ub.ac.id/index.php/jels/article/view/216/232 |
Daftar Isi:
- In this paper, a fractional-order Hastings-Powell food chain model is discussed. It is assumed that the top-predator population is supported by alternative food. Existence and local stability of equilibrium points of fractional-order system are investigated. Numerical simulations are conducted to illustrate analysis results. The analysis results show that alternative food can give a positive impact for top-predator population.Keywords: Alternative food, Fractional-order, Grunwald-Letnikov approximation, Hasting-Powell model, Stability.