Dynamical Analysis of Fractional-Order Hastings-Powell Food Chain Model with Alternative Food

Authors

  • Moh Nurul Huda University of Brawijaya, Malang
  • Trisilowati Trisilowati University of Brawijaya, Malang
  • Agus Suryanto University of Brawijaya, Malang

DOI:

https://doi.org/10.21776/ub.jels.2016.007.01.08

Abstract

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.

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Published

2017-08-16

Issue

Vol. 7 No. 1 (2017)

Section

Articles

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