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math.PR2020
Discrete SIR model on a homogeneous tree and its continuous limit
Alexander Gairat, Vadim Shcherbakov
We study a discrete Susceptible-Infected-Recovered (SIR) model for the spread of infectious disease on a homogeneous tree and the limit behavior of the model in the case when the t…
math.PR2020
Linear competition processes and generalized Polya urns with removals
Serguei Popov, Vadim Shcherbakov, Stanislav Volkov
A competition process is a continuous time Markov chain that can be interpreted as a system of interacting birth-and-death processes, the components of which evolve subject to a co…