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Tricritical behavior in epidemic dynamics with vaccination

Author

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

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.

Suggested Citation

  • Pires, Marcelo A. & Sampaio Filho, Cesar I.N. & Herrmann, Hans J. & Andrade, José S., 2023. "Tricritical behavior in epidemic dynamics with vaccination," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    • Handle: RePEc:eee:chsofr:v:174:y:2023:i:c:s0960077923006628
    DOI: 10.1016/j.chaos.2023.113761
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    References listed on IDEAS

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    1. Nudee, K. & Chinviriyasit, S. & Chinviriyasit, W., 2019. "The effect of backward bifurcation in controlling measles transmission by vaccination," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 400-412.
    2. Pires, Marcelo A. & Crokidakis, Nuno, 2017. "Dynamics of epidemic spreading with vaccination: Impact of social pressure and engagement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 167-179.
    3. Lacitignola, Deborah & Saccomandi, Giuseppe, 2021. "Managing awareness can avoid hysteresis in disease spread: an application to coronavirus Covid-19," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
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    1. Oestereich, André L. & Pires, Marcelo A. & Crokidakis, Nuno & Cajueiro, Daniel O., 2023. "Optimal rewiring in adaptive networks in multi-coupled vaccination, epidemic and opinion dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

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