How to solve a system of three ODE
5 Ansichten (letzte 30 Tage)
Ältere Kommentare anzeigen
I was looking into epidemiology, and I came to a system of three ODEs to solve the spread. For the life of me I can't remember how to do this in Matlab. Here is my system, with the initial conditions.
S(0) = 19,465,197
E(0) = 0
I(0) = 0
dS/dt=-147199.4991*S+10*S*I
dE/dt=10*S*I-147203.5121*E
dI/dt=4*E-147199.5197*I
0 Kommentare
Antworten (2)
Benjamin Schwabe
am 15 Jun. 2012
Hi James,
start writing it in a vectorform with x=(S,E,I); Then you have x(0)=x0 as defined and you can write dx/dt=f(x); create a function doin this. the you might use ode45 oder another ode solver for you problem. The help is quite detailed here.
Hope that helps, Benjamin
0 Kommentare
Walter Roberson
am 15 Jun. 2012
WIth the symbolic toolbox, it would look somewhat like
syms S(t) E(t) I(t)
dsolve(S(0) == 19465197, E(0) == 0, I(0) == 0, diff(S(t), t) == -1.471994991*10^5*S(t)+10*S(t)*I(t), diff(E(t), t) == 10*S(t)*I(t)-1.472035121*10^5*E(t), diff(I(t), t) = 4*E(t)-1.471995197*10^5*I(t))
with solution
E(t) = 0, I(t) = 0, S(t) = 19465197*exp(-147199.4991*t)
0 Kommentare
Siehe auch
Kategorien
Mehr zu Ordinary Differential Equations finden Sie in Help Center und File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!