How to plot system of fractional delay differential equations

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Let us consdier the system of fractional order delay differential equation
D^[alpha} x(t)= a*x(t) ( 1- x(t)/k ) - (b* x(t)* y(t-tau) ) / ( 1+c* x(t) );
D^[alpha} y(t)= ( b* x(t)* y(t-tau) ) / ( 1+c* x(t) )-d y(t);
tau=0.5; a=1; k=2; b=0.5; c=1.5; [x(t), y(t)]=[2,1] for all t in [-0.5, 0].
How to plot the above system?
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Answers (2)

wang zhiming
wang zhiming on 11 Aug 2019
Edited: wang zhiming on 11 Aug 2019
I set a=1, k=2, b=0.5, c=1.5, d=1.2, and alpha=0.95, then get the following plot. Is it right?
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fatima cherkaoui
fatima cherkaoui on 28 Feb 2023
Can you give me also the mathlab code for the same model please.

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wang zhiming
wang zhiming on 19 Aug 2019
The alpha value is the order of your equations. About the matlab code you can read the paper: A PREDICTOR-CORRECTOR SCHEME FOR SOLVING NONLINEAR DELAY DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER. SACHIN BHALEKAR, VARSHA DAFTARDAR-GEJJI.
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Sumati Kumari
Sumati Kumari on 14 Aug 2022
HIi, Ravi.
Hope you succeeded in getting MatLab code for fractional delay differential equations. Please let me know the code. I tooo strugling for Matlab code.

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