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Homework - optional

Look at the lung ventilation problem in the phaseplane and study what happens when the steady state becomes unstable. Here is the Ode file:
# lung ventilation
c'=c-b*c*v+m
v'=a*c
par a=1,b=.1,m=.1
@ meth=discrete,total=200
done

Change b to 1.5 and gradually ratchet up m. Try m=.7 and looking in the phaseplane windowed as $[0,2]\times[0,2]$.



G. Bard Ermentrout
1999-09-17