The influence of active agent motility on SIRS epidemiological dynamics

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Hauptverfasser: Kailasham, R., Khair, Aditya S.
Format: Preprint
Veröffentlicht: 2024
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author Kailasham, R.
Khair, Aditya S.
author_facet Kailasham, R.
Khair, Aditya S.
contents Active Brownian disks moving in two dimensions that exchange information about their internal state stochastically are chosen to model epidemic spread in a self-propelled population of agents under the susceptible-infected-recovered-susceptible (SIRS) framework. The state of infection of an agent, or disk, governs its self-propulsion speed; consequently, the activity of the agents in the system varies in time. Two different protocols (one-to-one and one-to-many) are considered for the transmission of disease from the infected to susceptible populations. The effectiveness of the two protocols are practically identical at high values of the infection transmission rate. The one-to-many protocol, however, outperforms the one-to-one protocol at lower values of the infection transmission rate. Salient features of the macroscopic SIRS model are revisited, and compared to predictions from the agent-based model. Lastly, the motility induced phase separation in a population of such agents with a fluctuating fraction of active disks is found to be well-described by theories governing phase separation in a mixture of active and passive particles with a constant fraction of passive disks.
format Preprint
id arxiv_https___arxiv_org_abs_2406_01865
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The influence of active agent motility on SIRS epidemiological dynamics
Kailasham, R.
Khair, Aditya S.
Soft Condensed Matter
Cellular Automata and Lattice Gases
Physics and Society
Active Brownian disks moving in two dimensions that exchange information about their internal state stochastically are chosen to model epidemic spread in a self-propelled population of agents under the susceptible-infected-recovered-susceptible (SIRS) framework. The state of infection of an agent, or disk, governs its self-propulsion speed; consequently, the activity of the agents in the system varies in time. Two different protocols (one-to-one and one-to-many) are considered for the transmission of disease from the infected to susceptible populations. The effectiveness of the two protocols are practically identical at high values of the infection transmission rate. The one-to-many protocol, however, outperforms the one-to-one protocol at lower values of the infection transmission rate. Salient features of the macroscopic SIRS model are revisited, and compared to predictions from the agent-based model. Lastly, the motility induced phase separation in a population of such agents with a fluctuating fraction of active disks is found to be well-described by theories governing phase separation in a mixture of active and passive particles with a constant fraction of passive disks.
title The influence of active agent motility on SIRS epidemiological dynamics
topic Soft Condensed Matter
Cellular Automata and Lattice Gases
Physics and Society
url https://arxiv.org/abs/2406.01865