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

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

Physica A: Statistical Mechanics and its Applications, 2024, vol. 655, issue C

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.

Keywords: SIR model; Pair heterogeneous mean-field theory; Uncorrelated configuration model; Power-law networks; Continuous phase transitions; Dynamical percolation (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:655:y:2024:i:c:s0378437124006927

DOI: 10.1016/j.physa.2024.130183

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