Tricritical behavior in epidemic dynamics with vaccination

Marcelo A. Pires, Cesar I.N. Sampaio Filho, Hans J. Herrmann and José S. Andrade

Chaos, Solitons & Fractals, 2023, vol. 174, issue C

Abstract: We scrutinize the phenomenology arising from a minimal vaccination-epidemic (MVE) dynamics using three methods: mean-field approach, Monte Carlo simulations, and finite-size scaling analysis. The mean-field formulation reveals that the MVE model exhibits either a continuous or a discontinuous active-to-absorbing phase transition, accompanied by bistability and a tricritical point. However, on square lattices, we detect no signs of bistability, and we disclose that the active-to-absorbing state transition has a scaling invariance and critical exponents compatible with the continuous transition of the directed percolation universality class. Additionally, our findings indicate that the tricritical and crossover behaviors of the MVE dynamics belong to the universality class of mean-field tricritical directed percolation.

Keywords: Critical; Tricritical; Vaccination; Epidemics (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:174:y:2023:i:c:s0960077923006628

DOI: 10.1016/j.chaos.2023.113761

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