Optimal control of stochastic prey–predator models

摘要

Optimal control of stochastic prey–predator models during infinite and finite time intervals is considered. Optimal feedback controlling functions are derived as non-linear functions of the densities of prey and predator populations using Lyapunov–Bellman technique. The densities of both prey and predator populations are obtained as functions of time. We will be concerned with time intervals of the control process and time dependence of the control functions.