Copy_of_hw2a

Copy_of_hw2a - function Y = hw2a(k initL initR initLR...

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function Y = hw2a(k, initL, initR, initLR, initLD, initD) f %The equation for concentration of L to be solved it: % %dL(t)/dt = -k1*L(t)*R(t) + k2*LR(t) - k5*L(t)*D(t) + k6*LD(t); % %The equation for concentration of R to be solved it: % %dR(t)/dt = -k1*L(t)*R(t) + k2*LR(t) - k7*L(t)*R(t) + k8*L(t)*D(t); % %The equation for concentration of LR to be solved it: % %dLR(t)/dt = k1*L(t)*R(t) + k2*LR(t) - k7*L(t)*R(t) + k8*L(t)*D(t); % %The equation for concentration of LD to be solved it: % %dLD(t)/dt = k3*LR(t) - k4*LD(t) + k5*L(t)*D(t) - k6*LD(t) % %The equation for concentration of D to be solved it: % %dD(t)/dt = k7*L(t)*R(t) - K8*L(t)*D(t) + k6*LD(t) - k5*L(t)*D(t) % %----------------Set up time interval-------------------- % h = 0.1; h %----------------Set up duration------------------------- % t = 0:h:100; t %----------------Initialize Vector Y--------------------- % Y = zeros(5,1); Y %---------------Initial conditions----------------------- % Y(1,1) = initL; Y(2,1) = initR; Y(3,1) = initLR; Y(4,1) = initLD; Y(5,1) = initD; Y %---------------RK2 Method's Loop------------------------ % for i=1:length(t)-1, %Set up "for" loop. k1L = h * (-k(1,1)*Y(1,i)*Y(2,i) + k(2,1)*Y(3,i) - k(5,1)*Y(1,i)*Y(5,i) + k(6,1)*Y(4,1)); k2L = h * (-k(1,1)*(Y(1,i)+k1L/2)*(Y(2,i)+k1L/2) + k(2,1)*(Y(3,i)+k1L/2) - k(5,1)*(Y(1,i)+k1L/2)*(Y(5,i)+k1L/2) + k(6,1)*(Y(4,1)+k1L/2)); Y(1,i+1) = Y(1,i) + k2L; k1R = h * (-k(1,1)*Y(1,i)*Y(2,i) + k(2,1)*Y(3,i) - k(7,1)*Y(1,i)*Y(2,i) +
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