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

Products of Toeplitz and Hankel operators on the Bergman space in the polydisk

In this paper we obtain a condition for analytic square integrable functions f, g which guarantees the boundedness of products of the Toeplitz operators TfTg densely defined on the Bergman space in the polydisk. An analo...

On l1-preduals distant by 1

For every predual X of l1 such that the standard basis in l1 is weak* convergent, we give explicit models of all Banach spaces Y for which the Banach–Mazur distance d(X, Y ) = 1. As a by-product of our considerations, we...

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...

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.

Eccentric distance sum index for some classes of connected graphs

In this paper we show some properties of the eccentric distance sum index which is defined as follows ξd(G)=∑v∈V(G)D(v)ε(v). This index is widely used by chemists and biologists in their researches. We present a lower bo...

Download PDF file
  • EP ID EP304681
  • DOI 10.17951/a.2017.71.1.41
  • Views 123
  • 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