The stochastic Beverton-Holt equation and the M. Neubert conjecture (Q818888)

The authors consider the Beverton-Holt equation in case when the carrying capacities are random. They show that there is a unique invariant density to which all other densities converge. It is also proved that for every initial non-zero state variable and almost all random sequences of carrying capacities, the averages of the state variable along an orbit and the carrying capacities exist and the former is strictly less than the latter.