On a stochastic model for continuous mass branching population

Ibrahim Rahimov

doi:10.1016/j.matcom.2007.01.019

On a stochastic model for continuous mass branching population

Ibrahim Rahimov^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

Abstract

It is well known that the set of non-negative integers is the state-space of usual branching stochastic processes. However in many applications one may have situations when it is difficult to count the number of individuals in the population, but some non-negative characteristic, such as volume, weight or product produced by the individuals can be measured. To model this kind of situation, branching stochastic processes with continuous state-space are introduced. In this paper two theorems which establish relationship between asymptotic behavior of processes continuous and discrete state-space and with immigration in varying environment will be proved.

Original language	English
Pages (from-to)	171-176
Number of pages	6
Journal	Mathematics and Computers in Simulation
Volume	76
Issue number	1-3
DOIs	https://doi.org/10.1016/j.matcom.2007.01.019
State	Published - 12 Oct 2007

Bibliographical note

Funding Information:
These results are part of the project no. FT-2005/01 funded by KFUPM, Dhahran, Saudi Arabia. I am indebted to King Fahd University of Petroleum and Minerals for excellent research facilities.

Keywords

Branching process
Counting process
Environment
Immigration
Independent increment
Primary 60J80
Stationary

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science
Numerical Analysis
Modeling and Simulation
Applied Mathematics

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10.1016/j.matcom.2007.01.019

Cite this

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abstract = "It is well known that the set of non-negative integers is the state-space of usual branching stochastic processes. However in many applications one may have situations when it is difficult to count the number of individuals in the population, but some non-negative characteristic, such as volume, weight or product produced by the individuals can be measured. To model this kind of situation, branching stochastic processes with continuous state-space are introduced. In this paper two theorems which establish relationship between asymptotic behavior of processes continuous and discrete state-space and with immigration in varying environment will be proved.",

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PY - 2007/10/12

Y1 - 2007/10/12

N2 - It is well known that the set of non-negative integers is the state-space of usual branching stochastic processes. However in many applications one may have situations when it is difficult to count the number of individuals in the population, but some non-negative characteristic, such as volume, weight or product produced by the individuals can be measured. To model this kind of situation, branching stochastic processes with continuous state-space are introduced. In this paper two theorems which establish relationship between asymptotic behavior of processes continuous and discrete state-space and with immigration in varying environment will be proved.

AB - It is well known that the set of non-negative integers is the state-space of usual branching stochastic processes. However in many applications one may have situations when it is difficult to count the number of individuals in the population, but some non-negative characteristic, such as volume, weight or product produced by the individuals can be measured. To model this kind of situation, branching stochastic processes with continuous state-space are introduced. In this paper two theorems which establish relationship between asymptotic behavior of processes continuous and discrete state-space and with immigration in varying environment will be proved.

KW - Branching process

KW - Counting process

KW - Environment

KW - Immigration

KW - Independent increment

KW - Primary 60J80

KW - Stationary

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DO - 10.1016/j.matcom.2007.01.019

M3 - Article

AN - SCOPUS:34848853849

SN - 0378-4754

VL - 76

SP - 171

EP - 176

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

IS - 1-3

ER -

On a stochastic model for continuous mass branching population

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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