Reaction processes among self-propelled particles

Peruani, Fernando; Sibona, G. J.

doi:10.1039/c8sm01502c

Cited by 13 publications

(13 citation statements)

References 63 publications

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“…We show that different collective states characterized by different time-dependent, self-organized spatial structures result in dramatically different contagion dynamics, both in terms of the overall magnitude of the outbreaks and of the detailed spatial characteristics of the spreading process. Our results also confirm that the importance of the contagion time-scale in agent-based contagion process, as discussed [13], in a more general and complex setting.…”

Section: Discussionsupporting

confidence: 88%

“…Therefore, core parameters of a SIR-contagion process: contact rate and contact duration are in fact emergent properties of the self-organized, spatial dynamics. This has been investigated for example in gas-like systems of self-propelled agents [12,13,14], where among other it was shown that contact rate and contact duration may be affected in different ways by the speed of individual agents, leading to nontrivial dependence of the contagion dynamics on this single movement parameter [13].…”

Section: Introductionmentioning

confidence: 99%

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Contagion dynamics in self-organized systems of self-propelled agents

Zhao¹,

Huepe²,

Romanczuk³

2021

Preprint

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We investigate the Susceptible-Infectious-Recovered contagion dynamics in a system of self-propelled particles with polar alignment. Using agent-based simulations, we show that the emerging spatial features strongly affect the contagion process, in addition to standard epidemic parameters given by the base reproduction number and duration of the individual infectious period. We find that the ordered homogeneous strongly disfavor the infection propagation, due to their limited mixing, and only propagate contagion for very high individual infectious periods. The disordered homogeneous sates also display low contagion capabilities, requiring relatively high infection parameters to propagate the infection. Instead, the ordered inhomogeneous states display high contagion for a range of parameter values. In these states, the formation of bands and clusters favors contagion through a combination of processes that develop within and without these structures. Our results highlight the importance of the self-organized spatial dynamics in contagion processes, with implications for understanding of contagion processes and its control in self-organized animal groups and human crowds.

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Section: Discussionsupporting

confidence: 88%

Section: Introductionmentioning

confidence: 99%

Contagion dynamics in self-organized systems of self-propelled agents

Zhao¹,

Huepe²,

Romanczuk³

2021

Preprint

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“…Second, if the WCA potential does not drastically change the speed v 0 , we approximately obtain that �|� v ij rel | 2 � ≈ 2v 2 0 since �v 2 i � ≈ v 2 0 . By considering the total area swept for N particles in a time interval τ c as A sw = N(2R + πR 2 ) , we define the maximum contagion probability p c = A sw /A = 1 , and using the relation = √ 2v 0 τ c , we recover the analytical expression of the contagion rate given in (2).…”

Section: Microscopic Contagion Ratementioning

confidence: 99%

“…Nevertheless, a more realistic model must consider the mobility of infectious particles and particle density within its environment. In this direction, self-propelled particles 2 , 3 , the random motion of non-interacting particles 4 , 5 , cellular automaton 6 , 7 , dynamical density functional theory approach 8 , and reaction–diffusion models 9 , 10 have been proposed to introduce the spatial motion of infectious particles. As a matter of universality, active matter models are intuitive and are extensively used to describe a wide range of biological processes ranging from bacteria motion to animal movement 11 .…”

Section: Introductionmentioning

confidence: 99%

“…Here, we explore infection propagation through active vectors that carry an internal state using an AM based model with underlying microscopic processes. The infection occurs through horizontal transmission when a susceptible agent comes into contact with an infected agent such as viruses propagating in salmon hatcheries, honeycombs 33 , 34 , or in mesoscale organisms such as cats with influenza or humans carrying flu 2 , 3 , 35 .

Figure 1 Schematic representation of the AM model based on ABP.…”

Section: Introductionmentioning

confidence: 99%

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Understanding contagion dynamics through microscopic processes in active Brownian particles

Norambuena¹,

Valencia²,

Guzmán-Lastra³

2020

Sci Rep

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Together with the universally recognized SIR model, several approaches have been employed to understand the contagion dynamics of interacting particles. Here, Active Brownian particles (ABP) are introduced to model the contagion dynamics of living agents that perform a horizontal transmission of an infectious disease in space and time. By performing an ensemble average description of the ABP simulations, we statistically describe susceptible, infected, and recovered groups in terms of particle densities, activity, contagious rates, and random recovery times. Our results show that ABP reproduces the time dependence observed in traditional compartmental models such as the Susceptible-Infected-Recovery (SIR) models and allows us to explore the critical densities and the contagious radius that facilitates the virus spread. Furthermore, we derive a first-principles analytical expression for the contagion rate in terms of microscopic parameters, without considering free parameters as the classical SIR-based models. This approach offers a novel alternative to incorporate microscopic processes into analyzing SIR-based models with applications in a wide range of biological systems.

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