Numerical Fractional Optimal Control of Respiratory Syncytial Virus Infection in Octave/MATLAB
نویسندگان
چکیده
In this article, we develop a simple mathematical GNU Octave/MATLAB code that is easy to modify for the simulation of models governed by fractional-order differential equations, and resolution optimal control problems through Pontryagin's maximum principle (indirect approach control). For purpose, model respiratory syncytial virus (RSV) infection considered. The an improvement one first proposed authors in [Chaos Solitons Fractals 117 (2018), 142--149]. initial value problem associated with RSV fractional numerically solved using Garrapa's fde12 solver two methods coded here Octave/MATLAB: forward {Euler's} method predict-evaluate-correct-evaluate (PECE) Adams--Bashforth--Moulton. A then formulated having treatment as control. Pontryagin used characterize extremals are determined implementation forward-backward PECE method. implemented algorithms available on GitHub and, at end paper, appendixes, both uncontrolled well problem, free Octave computing software assuring compatibility with~MATLAB.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2023
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math11061511