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

Related Articles

Some properties for α-starlike functions with respect to k-symmetric points of complex order

In the present work, we introduce the subclass Tkγ,α(φ), of starlike functions with respect to k-symmetric points of complex order γ (γ≠0) in the open unit disc △. Some interesting subordination criteria, inclusion relat...

A survey of a selection of methods for determination of Koebe sets

In this article we take over methods for determination of Koebe set based on extremal sets for a given class of functions.

On almost polynomial structures from classical linear connections

Let Mfm be the category of m-dimensional manifolds and local diffeomorphisms and let T be the tangent functor on Mfm. Let V be the category of real vector spaces and linear maps and let Vm be the category of m-dimensiona...

On the Courant bracket on couples of vector fields and p-forms

If m >= p+1 >= 2 (or m = p >= 3), all natural bilinear operators A transforming pairs of couples of vector fields and p-forms on m-manifolds M into couples of vector fields and p-forms on M are described. It is observed...

Generalized trend constants of Lipschitz mappings

In 2015, Goebel and Bolibok defined the initial trend coefficient of a mapping and the class of initially nonexpansive mappings. They proved that the fixed point property for nonexpansive mappings implies the fixed point...

Download PDF file
  • EP ID EP304681
  • DOI 10.17951/a.2017.71.1.41
  • Views 116
  • 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