Diff. EQ. Help - model for disease
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?