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Stationary distributions in Kolmogorov-Petrovski- Piskunov-type models with an infinite number of particles |
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| Authors: | Stanislav Molchanov |
| Institution: | 1. Department of Mathematics and Statistics, University of North Carolina at Charlotte, NC, USA;2. National Research University, Higher School of Economics, Moscow, Russian Federation |
| Abstract: | A model of population dynamics in continuous time on the lattice contains the Kolmogorov-Petrovski-Piskunov equation as a special case. A limit distribution exists. The first three moments and the correlation function are expressed. |
| Keywords: | branching process KPP model limit theorems population dynamics |