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SEIR model Suppose there is a vampire apocalypse in 2 0 5 0 . There are five populations: S , E , I, R (

SEIR model
Suppose there is a vampire apocalypse in 2050. There are five populations: S,E,I,R(recovered), and V(vampire). There are two possible disease trajectories:
SEIV
or
SER
In trajectory 1, those who are exposed will get infected and become a zombie. This portion of the population does not have garlic to prevent infection.
In trajectory 2, those who are exposed, but eat garlic immediately after exposure, recover in 2 days (1). There is no infectious phase for this population.
Assume that 20% of the total population () has prepared for the apocalypse and keeps garlic in a place that is immediately accessible.
Given: =0.5d-1;=10d-1;=0.2d-1;=0.5d-1.
Write a differential equation for each population (S,E,I,R,V. It can be helpful to draw a picture/flow diagram.
Plot each population fraction as a function of time for 30 days. Set the initial conditions for S and E to 0.999 and 0.001, respectively. Show your code from MATLAB (or another program).
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