Dear bosses, I want to draw the Hopf bifurcation image. Please help me, thank you. There are specific instructions below.
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Dear bosses, in the ordinary differential equations, how to draw a parameter change to cause the value change, that is, Hopf bifurcation problem about ODE. For example, in the figure below, A = 0.5, \mu= 0.2, v = 0.3. \ beta is a variable. Now I want to draw the images of \beta and S and \ beta and R. Please help me. Please give me the MATLAB code. Thank you!
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darova
2020-5-21
What about this solution?
clc,clear
cla
for j = 0:4
beta = j;
F=@(t,y) [0.5-beta*y(1)*y(2)-0.2*y(1)
beta*y(1)*y(2)-0.3*y(2)];
[t,y] = ode45(F,[0 3],[0.4 0.5]);
line(t,y,'color',rand(1,3))
end
xlabel('beta');
ylabel('Density of juvenile prey, x_0(t)');
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