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/).
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 -