# Thread: Birth Process

1. ## Birth Process

I have been trying to figure this problem out for a few days now and don't seem to know where to start.
Consider a population made of a fixed number (N) of people. At time t=0 there is only one infected individual and N-1 susceptible people in the population. When you get infected, you remain in the infected state forever. In any short time interval that is h long, any given infected person will transmit the disease to any susceptible person with a probability of alpha * h + o(h) where o(h) is an error term and alpha is the individual infection rate. Let X(t) denote the number of infected individuals in the population at time t >= 0. So X(t) is a pure birth process on states 0, 1, ... N.
What are the birth parameters?

2. Well, with all the posts you've made over the internet, have you found your answer ... ?