Infection process on Watts-Strogatz network of mixed agents

Authors

  • John Kenneth V. Rubio National Institute of Physics, University of the Philippines Diliman
  • Stephen Daedalus E. Separa National Institute of Physics, University of the Philippines Diliman
  • Johnrob Y. Bantang National Institute of Physics, University of the Philippines Diliman

Abstract

The dynamics of a susceptible-infectious (SI) type of infection on a Watts-Strogatz (WS) network of inhomogeneous agents is simulated using an agent-based model. Starting from a regular lattice forming a probabilistic elementary cellular automata (pECA), a WS network realized by introducing the rewiring probability r which can be tuned to cover pECA (r = 0) and a fully random network (r = 1) cases. Each one neighboring infected agent provides an infection probability ρ to a susceptible agent. An expression for the effective probability of infection rho bar whenever there are n infected neighbors is derived. The time T90 it takes for the disease to spread until at least 90% of the population is infected was shown to follow a power law trend with respect to the infection probability ρ. An inverse relationship for completely random network is shown consistent with a derived analytic expression.

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Issue

Article ID

SPP-2016-PA-02

Section

Poster Session PA

Published

2016-08-18

How to Cite

[1]
JKV Rubio, SDE Separa, and JY Bantang, Infection process on Watts-Strogatz network of mixed agents, Proceedings of the Samahang Pisika ng Pilipinas 34, SPP-2016-PA-02 (2016). URL: https://proceedings.spp-online.org/article/view/SPP-2016-PA-02.