Next Article in Journal / Special Issue
Symmetry in Infancy: Analysis of Motor Development in Autism Spectrum Disorders
Previous Article in Journal
Testing Group Symmetry of a Multivariate Distribution
Previous Article in Special Issue
Tetraquark Spectroscopy: A Symmetry Analysis
Article Menu

Article Versions

Export Article

Open AccessArticle
Symmetry 2009, 1(2), 201-214; doi:10.3390/sym1020201

On a Symmetric, Nonlinear Birth-Death Process with Bimodal Transition Probabilities

Dipartimento di Matematica e Informatica, Università di Salerno, Via Ponte don Melillo, I-84084 Fisciano (SA), Italy
Author to whom correspondence should be addressed.
Received: 23 October 2009 / Accepted: 24 November 2009 / Published: 26 November 2009
(This article belongs to the Special Issue Feature Papers: Symmetry Concepts and Applications)
Download PDF [250 KB, uploaded 26 November 2009]


We consider a bilateral birth-death process having sigmoidal-type rates. A thorough discussion on its transient behaviour is given, which includes studying symmetry properties of the transition probabilities, finding conditions leading to their bimodality, determining mean and variance of the process, and analyzing absorption problems in the presence of 1 or 2 boundaries. In particular, thanks to the symmetry properties we obtain the avoiding transition probabilities in the presence of a pair of absorbing boundaries, expressed as a series.
Keywords: bilateral processes; transition probabilities; first-passage-time; absorption bilateral processes; transition probabilities; first-passage-time; absorption
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Di Crescenzo, A.; Martinucci, B. On a Symmetric, Nonlinear Birth-Death Process with Bimodal Transition Probabilities. Symmetry 2009, 1, 201-214.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top