[Math4u] Re: Differential equation question (Kermack-McKendrick model)

Just bumping this post. No need to solve this if it is extraordinarily
difficult, though would certainly like to know if this is so. Thanks,

Paul

--- In Math4u@yahoogroups.com, "pfrank100" <pfrank100@...> wrote:
>
> Hello all,
>
> I'm currently working with the Kermack-McKendrick deterministic
> epidemic model and am trying to figure out how to solve the
> differential equation that tell you the number of recovered
> individuals after time t. The book I'm working from doesn't solve it
> explicitly, stating that the methods are "rather complicated" and
> instead uses a Taylor approximation to estimate the e term. I'm
> curious as to how this is solved without using an approximation and
> was wondering if anyone could help. Here's the equation:
>
> dR/dt = g[N-R(t)-S0e^(-R(t)/a)]
>
> Where:
>
> R(0) = 0
> S(0) = S0, a constant
> N,g,a are also constants.
>
> Thanks,
>
> Paul
>

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