Stationary states and spatial patterning in an SIS epidemiology model with implicit mobility

Jaroslav Ilnytskyi, Yuri Kozitsky, Hryhoriy Ilnytskyi and Olena Haiduchok

Physica A: Statistical Mechanics and its Applications, 2016, vol. 461, issue C, 36-45

Abstract: By means of the asynchronous cellular automata algorithm we study stationary states and spatial patterning in an SIS model, in which the individuals are attached to the vertices of a graph and their mobility is mimicked by varying the neighbourhood size q. Here we consider the following cases: q is fixed at certain value; and q is taken at random at each step and for each individual. The obtained numerical data are then mapped onto the solution of its version, corresponding to the limit q→∞. This allows for deducing an explicit form of the dependence of the fraction of infected individuals on the curing rate γ. A detailed analysis of the appearance of spatial patterns of infected individuals in the stationary state is performed.

Keywords: Epidemiology; Cellular automata; Spatial patterns (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:461:y:2016:i:c:p:36-45

DOI: 10.1016/j.physa.2016.05.006

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