Abstract
This chapter describes the important class of Markov models. It starts with a presentation of the deterministic ODE models.We then formulate precisely the random Markov epidemic model as a Poisson process driven stochastic differential equation, and establish the law of large numbers (later referred to as LLN), whose limit is precisely the already described ODE model.
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Britton, T., Pardoux, E. (2019). Chapter 2 Markov Models. In: Britton, T., Pardoux, E. (eds) Stochastic Epidemic Models with Inference. Lecture Notes in Mathematics(), vol 2255. Springer, Cham. https://doi.org/10.1007/978-3-030-30900-8_2
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DOI: https://doi.org/10.1007/978-3-030-30900-8_2
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-30899-5
Online ISBN: 978-3-030-30900-8
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