Author

Hasan S. Panigoro

Subject

- Sains

Abstract

We consider a model of predator–prey interaction at fractional-order where the predation obeys the ratio-dependent functional response and the prey is linearly harvested. For the proposed model, we show the existence, uniqueness, non-negativity and boundedness of the solutions. Conditions for the existence of all possible equilibrium points and their stability criteria, both locally and globally, are also investigated. The local stability conditions are derived using the Magtinon’s theorem, while the global stability is proven by formulating an appropriate Lyapunov function. The occurrence of Hopf bifurcation around the interior point is also shown analytically. At the end, we implemented the Predictor–Corrector scheme to perform some numerical simulations.

Publisher

Mathematics

Contributor

Agus Suryanto, Isnani Darti, Hasan S. Panigoro, Adem Kilicman

Publish

2019

Material Type

ARTIKEL

Right

https://doi.org/10.3390/math7111100