Logistic growth described by birth-death and diffusion processes

A Di Crescenzo, P Paraggio - Mathematics, 2019 - mdpi.com
We consider the logistic growth model and analyze its relevant properties, such as the limits,
the monotony, the concavity, the inflection point, the maximum specific growth rate, the lag …

On a class of birth-death processes with time-varying intensity functions

V Giorno, AG Nobile - Applied Mathematics and Computation, 2020 - Elsevier
In this paper, we investigate on a class of time-inhomogeneous birth-death chains obtained
by applying the composition method to two time-inhomogeneous double-ended chains …

Constructing transient birth–death processes by means of suitable transformations

A Di Crescenzo, V Giorno, AG Nobile - Applied Mathematics and …, 2016 - Elsevier
For a birth–death process N (t) with a reflecting state at 0 we propose a method able to
construct a new birth–death process M (t) defined on the same state-space. The birth and …

First-passage times and related moments for continuous-time birth–death chains

V Giorno, AG Nobile - Ricerche di Matematica, 2019 - Springer
First-passage time problems for continuous-time birth–death chains are considered.
Recursive formulas for the moments of the first-exit time and of the first-passage time in …

On some integral equations for the evaluation of first-passage-time densities of time-inhomogeneous birth-death processes

V Giorno, AG Nobile - Applied Mathematics and Computation, 2022 - Elsevier
New integral equations are proposed to determine first-passage-time densities for time-
inhomogeneous birth-death processes. Such equations, particularly suitable for …

On a bilateral linear birth and death process in the presence of catastrophes

V Giorno, AG Nobile - Computer Aided Systems Theory-EUROCAST 2013 …, 2013 - Springer
LNCS 8111 - On a Bilateral Linear Birth and Death Process in the Presence of Catastrophes
Page 1 On a Bilateral Linear Birth and Death Process in the Presence of Catastrophes Virginia …

On a bilateral birth-death process with alternating rates

A Di Crescenzo, A Iuliano, B Martinucci - Ricerche di matematica, 2012 - Springer
We consider a bilateral birth-death process characterized by a constant transition rate λ from
even states and a possibly different transition rate μ from odd states. We determine the …

Spectral analysis of bilateral birth–death processes: some new explicit examples

MD de la Iglesia - Advances in Applied Probability, 2022 - cambridge.org
We consider the spectral analysis of several examples of bilateral birth–death processes
and compute explicitly the spectral matrix and the corresponding orthogonal polynomials …

Families of ν-similar birth-death processes and limiting conditional distributions

A Poskrobko, E Girejko - Advances in Difference Equations, 2015 - Springer
We study, for a given process XX, the conditions under which ν-similarity is provided,
relations between similarity and ν-similarity of processes, and we analyze (doubly) limiting …

Recognition of unimodality and bimodality of a two-component gaussian mixture with different variances

NN Aprausheva, SV Sorokin - Pattern Recognition and Image Analysis, 2019 - Springer
Finite Gaussian mixtures (GM) are widely used as a flexible approximator in various
scientific and practical domains such as mathematical simulation, optimization, pattern …