MATLAB: Setting min value of variables within a function

min valuesvariables

Hi,
Please, how can i set a minimum within a function to zero?
I realise matlab is calculation with negative values and in the process returning some negative figures, so i would like to fix the min values of the variables to zero. this is a function of many variables that i am trying to solve with ode45.
function fval=MBBRFun4(t,y)
%Define the three variables
Xaob=y(1);
Xnb=y(2);
Xnsp=y(3);
Xcmx=y(4);
Xamx=y(5);
Xhan=y(6);
Xhaer=y(7);
Xs=y(8);
Sse=y(9);
Sno3=y(10);
Sno2=y(11);
Snh4=y(12);
So2=y(13);
% main functions
fval(1,1)=(0-V*Xaob/100)/V + u1*(So2/(Ko2aob+So2))*(Snh4/(Knh4aob+Snh4))*Xaob - baob*(So2/(Ko2aob+So2))*Xaob - baob*naob*(Ko2aob/(Ko2aob+So2))*(Sno2+Sno3)/(Kno3aob+Sno2+Sno3)*Xaob;
fval(2,1)=(0-V*Xnb/100)/V + u2*(Sno2/(Kno2nb+Sno2))*(So2/(Ko2nb+So2))*Xnb - bnb*(So2/(Ko2nb+So2))*Xnb - bnb*nnb*(Ko2nb/(Ko2nb+So2))*(Sno2+Sno3)/(Kno3nsp+Sno2+Sno3)*Xnb;
fval(3,1)=(0-V*Xnsp/100)/V + u3*(Sno2/(Kno2nsp+Sno2))*(So2/(Ko2nsp+So2))*Xnsp - bnsp*(So2/(Ko2nsp+So2))*Xnsp - bnsp*nnsp*(Ko2nsp/(Ko2nsp+So2))*(Sno2+Sno3)/(Kno3nsp+Sno2+Sno3)*Xnsp;
fval(4,1)=(0-V*Xcmx/100)/V + u4*((Sno2/(Kno2cmx+Sno2))*(So2/(Ko2cmx+So2)) + u4*(So2/(Ko2cmx+So2))*(Snh4/(Knh4cmx+Snh4)))*Xcmx - bcmx*(So2/(Ko2cmx+So2))*Xcmx - bcmx*ncmx*(Ko2cmx/(Ko2cmx+So2))*(Sno2+Sno3)/(Kno3cmx+Sno2+Sno3)*Xcmx;
fval(5,1)=(0-V*Xamx/100)/V + u5*(Snh4/(Knh4amx+Snh4))*(Sno2/(Kno2amx+Sno2))*(Ko2amx/(Ko2amx+So2))*Xamx-bamx*(So2/(Ko2amx+So2))*Xamx - bamx*namx*(Ko2amx/(Ko2amx+So2))*(Sno2+Sno3)/(Kno3amx+Sno2+Sno3)*Xamx;
fval(6,1)=(0-V*Xhan/100)/V + (u6*nhan*(Sse/(KSsehan+Sse))*(Sno2/(Kno2han+Sno2))*(Ko2han/(Ko2han+So2)) + u7*nhan*(Sse/(KSsehan+Sse))*(Sno3/(Kno3han+Sno3))*(Ko2han/(Ko2han+So2)))*Xhan - bhan*(So2/(Ko2han+So2))*Xhan - bhan*nhan*(Ko2han/(Ko2han+So2))*(Sno2+Sno3)/(Kno3han+Sno2+Sno3)*Xhan;
fval(7,1)=(0-V*Xhaer/100)/V + u8*(Sse/(KSsehaer+Sse))*(So2/(Ko2haer+So2))*Xhaer - bhaer*(So2/(Ko2haer+So2))*Xhaer - bhaer*nhaer*(Ko2haer/(Ko2haer+So2))*(Sno2+Sno3)/(Kno3haer+Sno2+Sno3)*Xhaer;
fval(8,1)=(0-V*Xs*100)/V - KH*(Xs/(Xhan+Xhaer))/(KX+(Xs/(Xhan+Xhaer)))*(Xhan+Xhaer) + (1-fI)*(baob*Xaob+bnb*Xnb+bnsp*Xnsp+bcmx*Xcmx+bamx*Xamx+bhan*Xhan+bhaer*Xhaer);
fval(9,1)=(Qo*Sseo-Qe*Sse)/V - (u6*nhan*(1/YNo2han)*(Sse/(KSsehan+Sse))*(Sno2/(Kno2han+Sno2))*(Ko2han/(Ko2han+So2)))*Xhan - (u7*nhan*1/YNo3han*(Sse/(KSsehan+Sse))*(Sno3/(Kno3han+Sno3))*(Ko2han/(Ko2han+So2)))*Xhan - (u8/Yhaer*(Sse/(KSsehaer+Sse))*(So2/(Ko2haer+So2))*Xhaer) + KH*(Xs/(Xhan+Xhaer))/(KX+(Xs/(Xhan+Xhaer)))*(Xhan+Xhaer);
fval(10,1)=(Qo*Sno3o-Qe*Sno3)/V - (u6*nhan*(1-YNo3han)/(2.86*YNo3han)*(Sse/(KSsehan+Sse))*(Sno3/(Kno3han+Sno3))*(Ko2han/(Ko2han+So2)))*Xhan + u5/1.14*(Snh4/(Knh4amx+Snh4))*(Sno2/(Kno2amx+Sno2))*(Ko2amx/(Ko2amx+So2))*Xamx + (u2/Ynb*(Sno2/(Kno2nb+Sno2))*(So2/(Ko2nb+So2))*Xnb) + (u3/Ynsp*(Sno2/(Kno2nsp+Sno2))*(So2/(Ko2nsp+So2))*Xnsp) + (u4/Ycmx*(Sno2/(Kno2cmx+Sno2))*(So2/(Ko2cmx+So2))*Xcmx) - ((1-fI)/2.86)*baob*naob*(Ko2aob/(Ko2aob+So2))*(Sno2+Sno3)/(Kno3aob+Sno2+Sno3)*Xaob - ((1-fI)/2.86)*bnb*nnb*(Ko2nb/(Ko2nb+So2))*(Sno2+Sno3)/(Kno3nb+Sno2+Sno3)*Xnb - ((1-fI)/2.86)*bnsp*nnsp*(Ko2nsp/(Ko2nsp+So2))*(Sno2+Sno3)/(Kno3nsp+Sno2+Sno3)*Xnsp - ((1-fI)/2.86)*bcmx*ncmx*(Ko2cmx/(Ko2cmx+So2))*(Sno2+Sno3)/(Kno3cmx+Sno2+Sno3)*Xcmx - ((1-fI)/2.86)*bamx*namx*(Ko2amx/(Ko2amx+So2))*(Sno2+Sno3)/(Kno3amx+Sno2+Sno3)*Xamx - ((1-fI)/2.86)*bhaer*nhaer*(Ko2haer/(Ko2haer+So2))*(Sno2+Sno3)/(Kno3han+Sno2+Sno3)*Xhaer - ((1-fI)/2.86)*bhan*nhan*(Ko2han/(Ko2han+So2))*(Sno2+Sno3)/(Kno3han+Sno2+Sno3)*Xhan;
fval(11,1)=(Qo*Sno2o-Qe*Sno2)/V - (((1-YNo2han)/(1.71*YNo2han))*u6*(Sse/(KSsehan+Sse))*(Sno2/(Kno2han+Sno2))*(Ko2han/(Ko2han+So2))*Xhan) - (((u5/Yamx)+u5/1.14)*(Snh4/(Knh4amx+Snh4))*(Sno2/(Kno2amx+Sno2))*(Ko2amx/(Ko2amx+So2))*Xamx) + (u1/Yaob*(So2/(Ko2aob+So2))*(Snh4/(Knh4aob+Snh4))*Xaob) - (u2/Ynb*(Sno2/(Kno2nb+Sno2))*(So2/(Ko2nb+So2))*Xnb) - (u3/Ynsp*(Sno2/(Kno2nb+Sno2))*(So2/(Ko2nb+So2))*Xnsp) - (u4/Ycmx*(Sno2/(Kno2nb+Sno2))*(So2/(Ko2nb+So2))*Xcmx);
fval(12,1)=(Qo*Snh4o-Qe*Snh4)/V - (u1*(INBM+1/Yaob)*(So2/(Ko2aob+So2))*(Snh4/(Knh4aob+Snh4))*Xaob) - (u4*(INBM+1/Ycmx)*(So2/(Ko2cmx+So2))*(Snh4/(Knh4cmx+Snh4))*Xcmx) - (u5*(INBM+1/Yamx)*(Snh4/(Knh4amx+Snh4))*(Sno2/(Kno2amx+Sno2))*(Ko2amx/(Ko2amx+So2))*Xamx) - (u2*INBM*(Sno2/(Kno2nb+Sno2))*(So2/(Ko2nb+So2))*Xnb) -(u3*INBM*(Sno2/(Kno2nsp+Sno2))*(So2/(Ko2nsp+So2))*Xnsp) - INBM*u6*(Sse/(KSsehan+Sse))*(Sno2/(Kno2han+Sno2))*(Ko2han/(Ko2han+So2))*Xhan - u7*INBM*(Sse/(KSsehan+Sse))*(Sno3/(Kno3han+Sno3))*(Ko2han/(Ko2han+So2))*Xhan - u8*INBM*(Sse/(KSsehaer+Sse))*(So2/(Ko2haer+So2))*Xhaer + (INBM-(fI*INXI))*baob*naob*(Ko2aob/(Ko2aob+So2))*(Sno2+Sno3)/(Kno3aob+Sno2+Sno3)*Xaob + (INBM-(fI*INXI))*bnb*nnb*(Ko2nb/(Ko2nb+So2))*(Sno2+Sno3)/(Kno3nsp+Sno2+Sno3)*Xnb + (INBM-(fI*INXI))*bnsp*nnsp*(Ko2nsp/(Ko2nsp+So2))*(Sno2+Sno3)/(Kno3nsp+Sno2+Sno3)*Xnsp + (INBM-(fI*INXI))*bcmx*ncmx*(Ko2cmx/(Ko2cmx+So2))*(Sno2+Sno3)/(Kno3cmx+Sno2+Sno3)*Xcmx + (INBM-(fI*INXI))*bamx*namx*(Ko2amx/(Ko2amx+So2))*(Sno2+Sno3)/(Kno3amx+Sno2+Sno3)*Xamx + (INBM-(fI*INXI))*bhan*nhan*(Ko2han/(Ko2han+So2))*(Sno2+Sno3)/(Kno3han+Sno2+Sno3)*Xhan + (INBM-(fI*INXI))*bhaer*nhaer*(Ko2haer/(Ko2haer+So2))*(Sno2+Sno3)/(Kno3haer+Sno2+Sno3)*Xhaer+(INBM-(fI*INXI))*baob*(So2/(Ko2aob+So2))*Xaob + (INBM-(fI*INXI))*bnb*(So2/(Ko2nb+So2))*Xnb + (INBM-(fI*INXI))*bnsp*(So2/(Ko2nsp+So2))*Xnsp + (INBM-(fI*INXI))*bcmx*(So2/(Ko2cmx+So2))*Xcmx + (INBM-(fI*INXI))*bamx*(So2/(Ko2amx+So2))*Xamx + (INBM-(fI*INXI))*bhan*(So2/(Ko2han+So2))*Xhan + (INBM-(fI*INXI))*bhaer*(So2/(Ko2haer+So2))*Xhaer;
fval(13,1)=(Qo*So2o-Qe*So2)/V + (KaL*(So2G-So2))-((1-Yhaer)/Yhaer)*u8*(Sse/(KSsehaer+Sse))*(So2/(Ko2haer+So2))*Xhaer-((3.43-Yaob)/Yaob)*u1*(So2/(Ko2aob+So2))*(Snh4/(Knh4aob+Snh4))*Xaob - ((1.14-Ynb)/Ynb)*u2*(Sno2/(Kno2nb+Sno2))*(So2/(Ko2nb+So2))*Xnb - ((1.14-Ynsp)/Ynsp)*u3*(Sno2/(Kno2nsp+Sno2))*(So2/(Ko2nsp+So2))*Xnsp - ((1.14-Ycmx)/Ycmx)*u4*((Sno2/(Kno2cmx+Sno2))*(So2/(Ko2cmx+So2)) - ((4.57-Ycmx)/Ycmx)*u4*(So2/(Ko2cmx+So2))*(Snh4/(Knh4cmx+Snh4)))*Xcmx - (1-fI)*baob*(So2/(Ko2aob+So2))*Xaob - (1-fI)*bnb*(So2/(Ko2nb+So2))*Xnb - (1-fI)*bnsp*(So2/(Ko2nsp+So2))*Xnsp - (1-fI)*bcmx*(So2/(Ko2cmx+So2))*Xcmx - (1-fI)*bamx*(So2/(Ko2amx+So2))*Xamx - (1-fI)*bhan*(So2/(Ko2han+So2))*Xhan - (1-fI)*bhaer*(So2/(Ko2haer+So2))*Xhaer;
script
%initial conditions
y0=[0.02352;0.00048;0.0288;0.00432;0.216;0.1104;0.1104;2;2;2;55;50;0.5];
h=0.0006944444;
tSpan=[0 535];
[tSol, ySol]=ode15s(@(t, y) MBBRFun4(t,y), tSpan, y0);
Please people assist
Thanks

Best Answer

Maybe I don't understand correctly: if you want to set all negative entries of fval to 0 you can add
fval(fval < 0) = 0;
at the end of your function. Otherwise follow Walter answer.