A spatial individual-based contact model with age structure
Journal Title: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica - Year 2017, Vol 71, Issue 1
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
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...
On branchwise commutative pseudo-BCH algebras
Basic properties of branches of pseudo-BCH algebras are described. Next, the concept of a branchwise commutative pseudo-BCH algebra is introduced. Some conditions equivalent to branchwise commutativity are given. It is p...
Convolution conditions for bounded α-starlike functions of complex order
Let A be the class of analytic functions in the unit disc U of the complex plane C with the normalization f(0)=f′(0)−1=0. We introduce a subclass S∗M(α,b) of A, which unifies the classes of bounded starlike and convex fu...
On the existence of connections with a prescribed skew-symmetric Ricci tensor
We study the so-called inverse problem. Namely, given a prescribed skew-symmetric Ricci tensor we find (locally) a respective linear connection.
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.