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
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?
3 Comments
fatima cherkaoui
on 28 Feb 2023
Can you give me also the mathlab code for the same model please.
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.
3 Comments
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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