**Spread of infection on homogeneous tree.** / Gairat, Alexander; Shcherbakov, Vadim.

Research output: Working paper

In preparation

**Spread of infection on homogeneous tree.** / Gairat, Alexander; Shcherbakov, Vadim.

Research output: Working paper

Gairat, A & Shcherbakov, V 2020 'Spread of infection on homogeneous tree' ArXiv.org. <https://arxiv.org/abs/2005.04743>

Gairat, A., & Shcherbakov, V. (2020). *Spread of infection on homogeneous tree*. (ArXiv.org). https://arxiv.org/abs/2005.04743

Gairat A, Shcherbakov V. Spread of infection on homogeneous tree. 2020 May 12. (ArXiv.org).

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title = "Spread of infection on homogeneous tree",

abstract = "This paper concerns a probabilistic model of spread of infection on a homogeneous tree. The model is related to stochastic SIR model on graphs. We derive an integral equation for the distribution of the waiting time for an individual to get infected. In a special case the integral equation is equivalent to the Bernoulli differential equation and implies the classic SIR model under an appropriate scaling. ",

keywords = "SIR model, Bernoulli equation, homogeneous tree, logistic curve, basic reproduction number",

author = "Alexander Gairat and Vadim Shcherbakov",

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AB - This paper concerns a probabilistic model of spread of infection on a homogeneous tree. The model is related to stochastic SIR model on graphs. We derive an integral equation for the distribution of the waiting time for an individual to get infected. In a special case the integral equation is equivalent to the Bernoulli differential equation and implies the classic SIR model under an appropriate scaling.

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M3 - Working paper

VL - https://arxiv.org/abs/2005.04743

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