Can any one help me how to plot a bifurcation diagram with respect to one of the parameters for the predator-prey model?
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% % Parameters
r1=1;r2=0.3;r3=0.3;K1=20;K2=10;K3=10;eta1=0.01;eta2=0.01;eta3=0.1;eta4=0.1;
eta5=0.01;eta6=0.01;alpha1=0.11;alpha2=0.1;a1=0.1;a2=0.1;b1=0.01;b2=0.01;
alpha=0.024;beta=0.03;gamma=0.04;delta=0.04;dz=0.1;df=0.05;
% % initial conditions
P0 = 15;
M0 = 5;
W0= 8;
Z0 = 10;
F0 = 5;
init= [P0; M0; W0;Z0; F0];
tspan =[0 1600];
options = odeset('RelTol', 1e-4, 'NonNegative', [1 2 3 4 5]);
function dv = fun_PMWZF(t,v)
dv = zeros(5,1);
P = v(1);
M = v(2);
W = v(3);
Z = v(4);
F = v(5);
dv(1) = r1*P*(1- P/K1)- eta1*P*M-eta2*P*W- alpha1*P*Z- a1*P*F/(1+alpha*P+beta*M+gamma*W+delta*Z);
dv(2) = r2*M*(1- M/K2)- eta3*P*M-eta4*M*W;
dv(3)= r3*W*(1-W/K3)- eta5*P*W-eta6*M*W;
dv(4) = alpha2*P*Z-a2*Z*F/(1+alpha*P+beta*M+gamma*W+delta*Z) - dz*Z ;
dv(5) = (b1*P*F+b2*Z*F)/(1+alpha*P+beta*M+gamma*W+delta*Z) -df*F;
end
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