A spatial individual-based contact model with age structure

Abstract

The Markov dynamics of an infinite continuum birth-and-death system of point particles with age is studied. Each particle is characterized by its location x∈Rd and age ax≥0. The birth and death rates of a particle are age dependent. The states of the system are described in terms of probability measures on the corresponding configuration space. The exact solution of the evolution equation for the correlation functions of first and second orders is found.

Authors and Affiliations

Dominika Jasinska

Keywords

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  • EP ID EP304681
  • DOI 10.17951/a.2017.71.1.41
  • Views 135
  • Downloads 0

How To Cite

Dominika Jasinska (2017). A spatial individual-based contact model with age structure. Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica, 71(1), 41-54. https://europub.co.uk/articles/-A-304681