Proceedings of the 2018 3rd International Conference on Modelling, Simulation and Applied Mathematics (MSAM 2018)

A Birth and Death Process Model with Blocking Growth and its Numerical Simulation Research

Authors
Peng Yang, Hua Liu, Yumei Wei, Ming Ma, Jianhua Ye
Corresponding Author
Peng Yang
Available Online July 2018.
DOI
10.2991/msam-18.2018.4How to use a DOI?
Keywords
stochastic process; process of birth and death; mathematical model; expectation; variance
Abstract

In this paper, we established a model of the birth and death process with blocking growth. Based on the theory of stochastic process and the classical model of birth and death process, we calculated the expectation and variance of population. We also showed the influence of blocked items on the population by computer simulation. The application of the process in ecology has a certain practical value.

Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2018 3rd International Conference on Modelling, Simulation and Applied Mathematics (MSAM 2018)
Series
Advances in Intelligent Systems Research
Publication Date
July 2018
ISBN
10.2991/msam-18.2018.4
ISSN
1951-6851
DOI
10.2991/msam-18.2018.4How to use a DOI?
Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Peng Yang
AU  - Hua Liu
AU  - Yumei Wei
AU  - Ming Ma
AU  - Jianhua Ye
PY  - 2018/07
DA  - 2018/07
TI  - A Birth and Death Process Model with Blocking Growth and its Numerical Simulation Research
BT  - Proceedings of the 2018 3rd International Conference on Modelling, Simulation and Applied Mathematics (MSAM 2018)
PB  - Atlantis Press
SP  - 16
EP  - 19
SN  - 1951-6851
UR  - https://doi.org/10.2991/msam-18.2018.4
DO  - 10.2991/msam-18.2018.4
ID  - Yang2018/07
ER  -