Markov birth-and-death dynamics of populations

Viktor Bezborodov

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arXiv · 1502.06783

Markov birth-and-death dynamics of populations

Viktor Bezborodov

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Abstract

Spatial birth-and-death processes with a finite number of particles are obtained as unique solutions to certain stochastic equations. Conditions are given for existence and uniqueness of such solutions, as well as for continuous dependence on the initial conditions. The possibility of an explosion and connection with the heuristic generator of the process are discussed.

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Viktor Bezborodov. 2015-02-24. Markov birth-and-death dynamics of populations. https://arxiv.org/abs/1502.06783

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