Time delay in disease transmission via interactions of heterogeneous agents in Watts-Strogatz networks

Authors

  • John Kenneth Villas Rubio ⋅ PH National Institute of Physics, University of the Philippines Diliman
  • Johnrob Yap Bantang ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We analyze the effect of heterogeneity η ≡ ∆ρ/<ρ> of infection probability ρ on the transmission dynamics of a susceptible-infected (SI) epidemic model on a static and complex newtork. The different configurations of the complex network is achieved using the Watts-Strogatz network model (N nodes) that uses the rewiring probability pr : a regular (circular) lattice (pr = 0), a small-world network (1/N), and a completely random network (1). We compare the results of these networks to the fully-connected network of the same size N. The time when the infection spread through half of the completely susceptible population is assigned as T1/2 indicating how fast infection spreads over the population. We show that T1/2 of disease transmission to half of the population becomes delayed for increasing η. We further show that the propagation of disease in a completely homogeneous population η = 0 is significantly different from a completely heterogeneous population by conducting the Kolmogorov-Smirnov statistical test.

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Issue

Article ID

SPP-2018-PB-34

Section

Poster Session B (Complex Systems, Simulations, and Theoretical Physics)

Published

2018-05-28

How to Cite

[1]
JKV Rubio and JY Bantang, Time delay in disease transmission via interactions of heterogeneous agents in Watts-Strogatz networks, Proceedings of the Samahang Pisika ng Pilipinas 36, SPP-2018-PB-34 (2018). URL: https://proceedings.spp-online.org/article/view/SPP-2018-PB-34.