Optimal stabilization of steady-states of the genital herpes epidemic during infinite and finite time intervals

摘要

A spatial stochastic model to study the optimal stabilization of the steady-states of the genital herpes epidemic is introduced. The steady-states of this model are found. The stability and instability of these states are investigated. The optimal stabilization of the unstable steady-states are studied. The control law is obtained from the conditions that ensure the optimal stabilization of these states. The general solution of the controlled herpes epidemic models is derived. Numerical examples are introduced.