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arXiv · 1112.1973

Establishment and Fecundity in Spatial Ecological Models: Statistical Approach and Kinetic Equations

Dmitri Finkelshtein·Yuri Kondratiev·Oleksandr Kutoviy
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Abstract

We consider spatial population dynamics given by Markov birth-and-death process with constant mortality and birth influenced by establishment or fecundity mechanisms. The independent and density dependent dispersion of spreading are studied. On the base of general methods of [14], we construct the state evolution of considered microscopic ecological systems. We analyze mesoscopic limit for stochastic dynamics under consideration. The corresponding Vlasov-type non-linear kinetic equations are derived and studied.

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Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy. 2012-10-11. Establishment and Fecundity in Spatial Ecological Models: Statistical Approach and Kinetic Equations. https://doi.org/10.1142/s0219025713500148

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