Understanding Contagion Dynamics through Microscopic Processes in Active Brownian Particles

Abstract

Together with the universally recognized SIR model, several approaches have been employed to understand the contagious dynamics of interacting particles. Here, Active Brownian particles (ABP) are introduced to model the contagion dynamics of living agents that spread an infectious disease in space and time. Simulations were performed for several population densities and contagious rates. Our results show that ABP not only reproduces the time dependence observed in traditional SIR models, but also allows us to explore the critical densities, contagious radius, and random recovery times that facilitate the virus spread. Furthermore, we derive a first-principles analytical expression for the contagion rate in terms of microscopic parameters, without the assumption of free parameters as the classical SIR-based models. This approach offers a novel alternative to incorporate microscopic processes into the analysis of SIR-based models with applications in a wide range of biological systems

8 pages, 5 figures, 2 methods

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Cited by in corpus (7)

• Using Active Matter to Introduce Spatial Heterogeneity to the Susceptible-Infected-Recovered Model of Epidemic Spreading
• Epidemic processes on self-propelled particles: continuum and agent-based modelling
• Transition from Susceptible-Infected to Susceptible-Infected-Recovered Dynamics in a Susceptible-Cleric-Zombie-Recovered Active Matter Model
• Contact statistics in populations of noninteracting random walkers in two dimensions
• Mutation induced infection waves in diseases like COVID-19
• The influence of active agent motility on SIRS epidemiological dynamics
• Wave front propagation in the Active Coagulation Model