Exact propagation models on networks: top down

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Abstract

Chapter 1 introduced SIS and SIR diseases and some weaknesses of compartmental models that can be remedied by considering networks. In this chapter, we begin our network-based investigation by setting up the problem we will study. We introduce the full stochastic model and show how to derive exact equations to calculate the probability of the entire network being in a given state.

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Kiss, I. Z., Miller, J. C., & Simon, P. L. (2017). Exact propagation models on networks: top down. In Interdisciplinary Applied Mathematics (Vol. 46, pp. 27–66). Springer Nature. https://doi.org/10.1007/978-3-319-50806-1_2

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