Im trying to plot a graph based on the change in susceptible, exposed and infected people due to guinea worm, included is a plot of the worm population W. This is an attempt to at least replicate some of what is from this mathematical model
(http://mysite.science.uottawa.ca/rsmith43/GuineaWorm.pdf ),
hopefully using the Impulsive differential equations but right now I've been relentlessly trying to graph these equations on a reasonable axis over ten years but for some reason it doesn't. Plus the y axis is completely off from what it should be, does anyone know what is wrong with the code? Thanks for any responses
timedata=[]
Sdata=[]
Edata=[]
Idata=[]
Wdata=[]
t=0
S=2600
E=1
I=1
W=200
bR= 37
k= 8760
m= .0142
r= .9
B= .0255*(1/W)
A= 1
Y=100000
mW=26
dt=.1
timedata.append(t)
Sdata.append(S)
Edata.append(E)
Idata.append(I)
Wdata.append(W)
T=10
Tfinal=(T/dt)
for i in range(0,Tfinal):
t= t+dt
Sprime=bR-B*S*W-m*S+k*I
Eprime=B*S*W-A*E-m*E
Iprime=A*E-k*I-m*I
Wprime=Y*I-mW*W
S= S+(Sprime*dt)
E= E+(Eprime*dt)
I= I+(Iprime*dt)
W= W+(Wprime*dt)
timedata.append(t)
Sdata.append(S)
Edata.append(E)
Idata.append(I)
Wdata.append(W)
Splot=list_plot(zip(timedata,Sdata),color='green',plotjoined=True)
Eplot=list_plot(zip(timedata,Edata),color='orange',plotjoined=True)
Iplot=list_plot(zip(timedata,Idata),color='black',plotjoined=True)
Splot
