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

Abstract

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

14 pages, 9 figures

References in corpus (5)

• Reaction-diffusion processes and metapopulation models in heterogeneous networks
• Cellular Automata Models of Road Traffic
• Invasion threshold in heterogeneous metapopulation networks
• Predicting the speed of epidemics spreading on networks
• One-way pedestrian traffic is a means of reducing personal encounters in epidemics

Cited by in corpus (5)

• Effect of two vaccine doses in the SEIR epidemic model using a stochastic cellular automaton
• A Comprehensive Taxonomy of Cellular Automata
• Traffic models and traffic-jam transition in quantum ($N$+1)-level systems
• Understanding Traffic Jams Using Lindblad Superoperators
• Does social distancing matter for infectious disease propagation? A SEIR model and Gompertz law based cellular automaton