I have a mathematical model and its difficult to find endemic equilibrium point . can MATLAB do this
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function hdot = glioma0(t,x,Pg, Ps, beta1, beta2, i1, i2, i3, a1, a2, a3, beta3, alpha, zeta, Pr);
% The time-dependent term is A * sin(w0 * t - theta)
%H = 1*sin(-1*t);
%G = x(1)
hdot=zeros(5,1);
%H= heaviside(x(5));
u=0.0;
Phi=200.0;
H=0;
if (x(5)>0)
H = 1;
%else%if (x(5)<=0);
% H = 0;
end
hdot(1)=Pg*x(1)*(1-x(1))-beta1*x(1)*(x(2)+x(3))-(i1*x(1)*x(5))/(a1+x(1));
hdot(2)=Ps*x(2)*(1-x(2)-x(3))-beta2*x(1)*x(2)-u*x(2)*H-(i2*x(2)*x(5))/(a2+x(2));
hdot(3)=Pr*x(3)*(1-x(1)-x(3))-beta3*x(1)*x(3)+u*x(2)*H;
if (hdot(1)<0)
hdot(4)=alpha*hdot(1)*x(4)-(i3*x(4)*x(5))/(a3+x(4));
elseif (hdot(1)>0)
hdot(4)=-(i3*x(4)*x(5))/(a3+x(4));
end
hdot(5)=Phi - zeta*x(5);
%hdot = hdot';
%hdot=[hdot(:);H,h1];
% To make xdot a column
% End of FUN1.M
end
this is the differential equation
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