Can I read A remark on “Dynamical behavior of a fractional three-species food chain model” [Nonlinear Dynamics, 95, February 2019] on EtoBox?

A remark on “Dynamical behavior of a fractional three-species food chain model” [Nonlinear Dynamics, 95, February 2019] by Rabia Aouafi; Abdelhamid Zaidi; Said Kouachi; Rana D. Parshad is a Engineering article available to read on EtoBox.

What is A remark on “Dynamical behavior of a fractional three-species food chain model” [Nonlinear Dynamics, 95, February 2019] about?

In the current manuscript, we comment on (Alidousti J and Mostafavi 2019 in Nonlinear Dyn 95: 1841), where a three-species fractional differential equation food chain model is considered. It is shown in Alidousti J and Mostafavi (2019) that under certain parametric restrictions the model has bounded solutions for all positive initial conditions. We show that this is not true. Solutions to the model can blow up in finite time, for sufficiently large initial data, even under the restrictions derived in . We validate all of our results via numerical simulations.

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Author

Rabia Aouafi; Abdelhamid Zaidi; Said Kouachi; Rana D. Parshad

Publisher

Springer Science and Business Media LLC

Published

2023

Language

EN

Field

Engineering (Physical Sciences)