Stability of a Paddy Ecosystem with Time Delay

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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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  -