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SIS disease Model 
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#1
Feb910, 12:34 AM

P: 6

The following problem is an SIS disease problem:
Calling: I(t) = number of infectives at time t N = the total population (assumed constant) b = infection rate (here, a positive constant) v = recovery rate (also, a positive constant) a model for this disease is given bu the following: dI/dt = bI(NI)  vI And since the population is assumed constant, we can just take S(t) to be N I(t). Derive a condition for when the number of infectives goes to zero. Is there anyone out there than can help me, even if it's just a little bit? 


#2
Feb910, 04:00 AM

P: 117

The equation is separable. Just integrate
[tex]dx=dI \frac{1}{I(bNvbI)}[/tex] 


#3
Dec1810, 06:58 AM

P: 1

it's a Bernoulli equation...I have to solve the same as you...did u solve it?



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