if output = TRUE write a output to an Excel (.csv).
Value
data.frame(time,x) and plot of process.
Details
The Feller Branching diffusion model also derives directly from the linear drift class, the discretization dt = (T-t0)/N.
A simple branching process is a model in which individuals reproduce independently
of each other and of the history of the process. The continuous
approximation to branching process is the branching diffusion. It is given by
the stochastic differential equation for the population size X(t), 0 < X(t) < +Inf : $$dX(t) = mu * X(t)* dt + sigma * sqrt(X(t)) *dW(t)$$ with mu * X(t) :drift coefficient and sigma * sqrt(X(t)) :diffusion coefficient, W(t) is Wiener process.
References
Fima C Klebaner. Introduction to stochastic calculus with application (Second Edition), Imperial College Press (ICP), 2005.