Transition from Susceptible-Infected to Susceptible-Infected-Recovered Dynamics in a Susceptible-Cleric-Zombie-Recovered Active Matter Model

Abstract

The Susceptible-Infected (SI) and Susceptible-Infected-Recovered (SIR) models provide two distinct representations of epidemic evolution, distinguished by the lack of spontaneous recovery in the SI model. Here we introduce a new active matter epidemic model, the ``Susceptible-Cleric-Zombie-Recovered'' (SCZR) model, in which spontaneous recovery is absent but zombies can recover with probability $\gamma$ via interaction with a cleric. Upon interacting with a zombie, both susceptibles and clerics can enter the zombie state with probability $\beta$ and $\alpha$, respectively. By changing the intial fraction of clerics or their healing ability rate $\gamma$, we can tune the SCZR model between SI dynamics, in which no susceptibles or clerics remain at long times, and SIR dynamics, in which no zombies remain at long times. The model is relevant to certain real world diseases such as HIV where spontaneous recovery is impossible but where medical interventions by a limited number of caregivers can reduce or eliminate the spread of infection.

arXiv comment10 pages, 7 figures

References in corpus (19)

• Epidemic processes in complex networks
• Active Particles in Complex and Crowded Environments
• Motility-Induced Phase Separation
• Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles
• Athermal Phase Separation of Self-Propelled Particles with no Alignment
• When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
• Active Matter Transport and Jamming on Disordered Landscapes
• Effects of social distancing and isolation on epidemic spreading: a dynamical density functional theory model
• On the critical behavior of the Susceptible-Infected-Recovered (SIR) model on a square lattice
• Disease-induced resource constraints can trigger explosive epidemics
• Dynamic Phases of Active Matter Systems with Quenched Disorder
• You Can Run, You Can Hide: The Epidemiology and Statistical Mechanics of Zombies
• Understanding Contagion Dynamics through Microscopic Processes in Active Brownian Particles
• Information and motility exchange in collectives of active particles
• A simple model of epidemic dynamics with memory effects
• Multiple outbreaks in epidemic spreading with local vaccination and limited vaccines
• Using Active Matter to Introduce Spatial Heterogeneity to the Susceptible-Infected-Recovered Model of Epidemic Spreading
• Discontinuous epidemic transition due to limited testing
• Subdiffusive Activity Spreading in the Diffusive Epidemic Process

Cited by in corpus (2)

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