Analytical and cellular automaton approach to a generalized SEIR model for infection spread in an open crowded space

We formulate a generalized susceptible exposed infectious recovered (SEIR) model on a graph, describingthe population dynamics of an open crowded place with an arbitrary topology. As a sample calculation, wediscuss three simple cases, both analytically and numerically, by means of a cellular automata simulation of theindividual dynamics in the system. As a result, we provide the infection ratio in the system as a function ofcontrollable parameters, which allows for quantifying how acting on the human behavior may effectively lowerthe disease spread throughout the system.