# SIS disease Model

by tactical
Tags: disease, model
 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(N-I) - 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?
 P: 117 The equation is separable. Just integrate $$dx=dI \frac{1}{I(bN-v-bI)}$$
 P: 1 it's a Bernoulli equation...I have to solve the same as you...did u solve it?

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