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Estimating thresholds for the contact process with permanent immunity on complex networks

Author

Listed:
  • Alencar, D.S.M.
  • Alves, T.F.A.
  • Lima, F.W.S.
  • Ferreira, R.S.
  • Alves, G.A.
  • Macedo-Filho, A.

Abstract

We present an improvement in estimating the epidemic threshold for a modified susceptible-infected-removed model. We applied the pair heterogeneous mean-field theory on heterogeneous quenched networks. Our theoretical results are compared with extensive Monte Carlo simulations concerning the model dynamics on random regular and power-law networks. The epidemic thresholds obtained using pair heterogeneous mean-field theory agree with simulation results. We analyze the critical scaling of the model as well. At last, epidemic outbreaks emerge for infective probabilities above the critical threshold.

Suggested Citation

  • Alencar, D.S.M. & Alves, T.F.A. & Lima, F.W.S. & Ferreira, R.S. & Alves, G.A. & Macedo-Filho, A., 2024. "Estimating thresholds for the contact process with permanent immunity on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 655(C).
    • Handle: RePEc:eee:phsmap:v:655:y:2024:i:c:s0378437124006927
    DOI: 10.1016/j.physa.2024.130183
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