Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017)

Stability of a Paddy Ecosystem with Time Delay

Authors
Yi Wang, Xiaoli Zhou, Zhaohua Wu, Tiejun Zhou
Corresponding Author
Yi Wang
Available Online May 2017.
DOI
10.2991/ammsa-17.2017.13How to use a DOI?
Keywords
paddy ecosystem; delay; equilibrium; stability; Hopf bifurcation
Abstract

A delay differential equation model of paddy ecosystem was put forward to reveal the interaction among rice, weeds and inorganic fertilizer on the system. The results show that, the system exists a rice and weed extinction equilibrium, and it also exists a rice extinction or weed extinction equilibrium. Their stable and unstable conditions are obtained. Moreover, Hopf bifurcations occur at the rice extinction or weed extinction equilibrium as the delay crosses some critical values. According to the conditions, some measures to increase rice yield were recommended.

Copyright
© 2017, 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 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017)
Series
Advances in Intelligent Systems Research
Publication Date
May 2017
ISBN
978-94-6252-355-5
ISSN
1951-6851
DOI
10.2991/ammsa-17.2017.13How to use a DOI?
Copyright
© 2017, 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  - Yi Wang
AU  - Xiaoli Zhou
AU  - Zhaohua Wu
AU  - Tiejun Zhou
PY  - 2017/05
DA  - 2017/05
TI  - Stability of a Paddy Ecosystem with Time Delay
BT  - Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017)
PB  - Atlantis Press
SP  - 61
EP  - 65
SN  - 1951-6851
UR  - https://doi.org/10.2991/ammsa-17.2017.13
DO  - 10.2991/ammsa-17.2017.13
ID  - Wang2017/05
ER  -