1 SIR Model S002SI I0002SI5I R05I a How long does this disea

1) SIR Model:

S\'=-.002SI

I\'=.0002SI-.5I

R\'=.05I

a) How long does this disease last?

b) How many suspects are there when the epidemic peaks?

c)Modify the model, to include all of these change ( one model, not one for each change.)

i) in the new disease , which is transmitted by sneezing , people sneeze twice as much. ii) Five days after recovering from the disease, people loose their immunity and become susceptible agian. ii) Every day 4% of the infected people becoe zombies , which kill recovereds whenever they can.

2) Put a 70 degree bread with cooling coefficeint .1 in a hot oven to bake. Three mintues later, its 100 degrees. How hot is the oven?

Solution

SIR model is an epidemological model that comutes the theoritical number of people infected witha contagious illness in a closed population over time.

S-----------> I-------------> R

SI is used to interpret the individuals who are not ye infected at time t and those who are susceptible to the disease

I identifies the number of individuals infected with tthe disease and those capable of spreading the disease to the susceptible ones.

R is the compertment used for the individuals who have been infected and then recovered from the disease Are those who cannot be infectd again and not transmit to others.

This lasts for few days only

They are less than one suspects when epidemic breaks

SI model for sneezing

S= 50

R= 10

I= 40

2)The oven will be 180 degree centigrde