Establishment and Fecundity in Spatial Ecological Models: Functional Evolutions

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

We consider spatial population dynamics given by Markov birth-and-death process with constant mortality and birth influenced by establishment or fecundity. The independent dispersion of spreading as well as density dependent dispersion are studied. The existence of functional evolutions for microscopic and mesoscopic descriptions of the corresponding system is shown. The Vlasov-type non-linear kinetic equations are derived and studied.

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