Infection spreading and recovery in a square lattice

Abstract

We investigate spreading and recovery of disease in a square lattice, and in particular, emphasize the role of the initial distribution of infected patches in the network, on the progression of an endemic and initiation of a recovery process, if any, due to migration of both the susceptible and infected hosts. The disease starts in the lattice with three possible initial distribution patterns of infected and infection-free sites, infected core patches (ICP), infected peripheral patches (IPP) and randomly distributed infected patches (RDIP). Our results show that infection spreads monotonically in the lattice with increasing migration without showing any sign of recovery in the ICP case. In the IPP case, it follows a similar monotonic progression with increasing migration, however, a self-organized healing process starts for higher migration, leading the lattice to full recovery at a critical rate of migration. Encouragingly, for the initial RDIP arrangement, chances of recovery are much higher with a lower rate of critical migration. An eigenvalue based semi-analytical study is made to determine the critical migration rate for realizing a stable infection-free lattice. The initial fraction of infected patches and the force of infection play significant roles in the self-organized recovery. They follow an exponential law, for the RDIP case, that governs the recovery process. For the frustrating case of ICP arrangement, we propose a random rewiring of links in the lattice allowing long-distance migratory paths that effectively initiate a recovery process. Global prevalence of infection thereby declines and progressively improves with the rewiring probability that follows a power law with the critical migration and leads to the birth of emergent infection-free networks.

arXiv commentAccepted in Physical Review E

References in corpus (13)

• Epidemic processes in complex networks
• The spread of epidemic disease on networks
• Prediction and predictability of global epidemics: the role of the airline transportation network
• Discrete-time Markov chain approach to contact-based disease spreading in complex networks
• Disease spread through animal movements: a static and temporal network analysis of pig trade in Germany
• Suppressing disease spreading by using information diffusion on multiplex networks
• A framework for epidemic spreading in multiplex networks of metapopulations
• Non-perturbative heterogeneous mean-field approach to epidemic spreading in complex networks
• Oscillation death in diffusively coupled oscillators by local repulsive link
• On the critical behavior of the Susceptible-Infected-Recovered (SIR) model on a square lattice
• Stochastic lattice gas model describing the dynamics of an epidemic
• Diverse routes of transition from amplitude to oscillation death in coupled oscillators under additional repulsive link
• Transition from amplitude to oscillation death in a network of oscillators

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