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...

An existence and approximation theorem for solutions of degenerate nonlinear elliptic equations

The main result establishes that a weak solution of degenerate nonlinear elliptic equations can be approximated by a sequence of solutions for non-degenerate nonlinear elliptic equations.

On almost complex 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-dimension...

The generalized Day norm. Part I. Properties

In this paper we introduce a modification of the Day norm in c0(Γ) and investigate properties of this norm.

Some new inequalities of Hermite–Hadamard type for GA-convex functions

Some new inequalities of Hermite–Hadamard type for GA-convex functions defined on positive intervals are given. Refinements and weighted version of known inequalities are provided. Some applications for special means are...

Download PDF file
  • EP ID EP304681
  • DOI 10.17951/a.2017.71.1.41
  • Views 137
  • 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