How to represent the followind ODE system in MatLab?

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Cristian Gav
Cristian Gav 2019-6-21
评论： Star Strider 2019-6-21

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Star Strider
Star Strider 2019-6-21
Define ‘y’ as ‘x(1)’, ‘k’ as ‘x(2)’, and code it using those substitutions. (I coded it as a one-line anonymous function.)
Remember to include ‘a’ in the argument list, then pass a value for ‘a’ to it in your ODE solver call. See Passing Extra Parameters.
If this is not homework, I can post my solution.
  2 个评论
Cristian Gav
Cristian Gav 2019-6-21
It's for a work project .Feel free to post the solution if you can.
Star Strider
Star Strider 2019-6-21
Since it’s not homework, sure!
% % % x(1) = y, x(2) = k
ODEfcn = @(t,x,a) [0.25*x(1).*(1-x(1)) - 0.0015*x(2) - 0.3*x(1); 0.25*x(1).*(1-x(1)) - 0.0515*x(2)];
ic = [1 1];
tspan = [0 50];
a = 42; % Substitute Correct Value
[t,y] = ode45(@(t,x)ODEfcn(t,x,a), tspan, ic);
figure
plot(t, y)
grid
It is always appropriate to check it to be certain I transcribed it correctly. Use the appropriate initial conditions (‘ic’) and time interval or vector (‘tspan’). See the documentation for the various functions and for Anonymous Functions for a full explanation.

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