In article consider the development of modeling spatial spread of epidemics to improve  the quality and accuracy of anti-epidemic situation using a combination of simulation model based on stochastic model of compartmental and cellular automaton. The epidemic is spatially distributed dynamical system to describe the spatial- temporal behavior of the application of models which class of cellular automata. Cellular automata are discrete dynamical systems, which is a collection of identical cells, the same way interconnected. All cells form, the so-called lattice cellular automaton. Lattice can be of different types, differing both in dimension and shape of cells. Each cell is a finite state machine whose states are determined by the states of neighboring cells. Cells can be placed on a one-dimensional line, plane or in a multidimensional space

Keywords: Cellular automata, simulation modeling, mathematical model, epidemic diseases, model of cholera, dynamical system, Anylogic