A spatial stochastic model to study the optimal control of the epidemic is
introduced. The equilibrium stales of the epidemic model are found. The sta
bility and instability in linear approximation of this model are investigat
ed. The optimal control of the unstable equilibrium states is studied. The
control functions are obtained from the conditions that ensure the optimal
stabilization of these slates. Graphical and numerical simulation of the ob
tained results are presented. (C) 2001 Elsevier Science Ltd. All rights res
erved.