On the control of density-dependent stochastic population processes with time-varying behavior

The study of density-dependent stochastic population processes (DDSPPs) is important from a historical perspective as well the number existing and emerging applications today. In more recent these processes, it can be especially to include time-varying parameters for rates that impact structures behaviors. Under mean-field scaling, we show such time-inhomogeneous DDSPPs converge corresponding nonautonomous dynamical system. We then analogously establish optimal control converges limiting An analysis both system its renders various mathematical properties interest.