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Noise-induced mitigation of epidemic outbreaks in a cellular automaton model

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Abstract

In this paper, we study effects of additive spatiotemporal random variations, introduced to the parameter of an epidemic model using cellular automata. In absence of noise, the model exhibits a phase transition from a disease-free state to an endemic state. However, this phase transition disappears by introducing noise on the model. In particular, noise-induced extinction of the disease emerges. Moreover, the average time of extinction with respect to infection rate is given. The obtained results show that noise may play an important role in preventing spread of disease.

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Authors and Affiliations

  1. Gansu Provincial Key Laboratory of Aridland Crop Science, Gansu Agricultural University, Lanzhou, 730070, People’s Republic of China

    Y. Wang & R. Z. Zhang

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  1. Y. Wang
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  2. R. Z. Zhang
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Correspondence to R. Z. Zhang.

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Wang, Y., Zhang, R.Z. Noise-induced mitigation of epidemic outbreaks in a cellular automaton model. Indian J Phys 87, 507–510 (2013). https://doi.org/10.1007/s12648-013-0275-7

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  • DOI: https://doi.org/10.1007/s12648-013-0275-7

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