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arXiv · 1808.05673

Steady states of lattice population models with immigration

Elena Chernousova·Yaqin Feng·Stanislav Molchanov·Joseph Whitmeyer
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Abstract

We consider the time evolution of the lattice subcritical Galton-Watson model with immigration. We prove Carleman type estimation for the cumulants in the simple case (binary splitting) and show the existence of a steady state. We also present the formula of the limiting distribution in a particular solvable case.

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Elena Chernousova, Yaqin Feng, Stanislav Molchanov, Joseph Whitmeyer. 2018-11-20. Steady states of lattice population models with immigration. https://arxiv.org/abs/1808.05673

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