ZHOU Ai-rong, WANG Wen-di, LI Yan, HE Nan. Dynamics Analysis of Water-Plant Model with Infiltration Feedback[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(5): 6-10. doi: 10.13718/j.cnki.xsxb.2018.05.002
| Citation: |
ZHOU Ai-rong, WANG Wen-di, LI Yan, HE Nan. Dynamics Analysis of Water-Plant Model with Infiltration Feedback[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(5): 6-10. doi: 10.13718/j.cnki.xsxb.2018.05.002
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Dynamics Analysis of Water-Plant Model with Infiltration Feedback
More Information
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Received Date:
02/09/2017
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Abstract
In this paper, we develop a water-plant model with Holling-Ⅱ function response and infiltration feedback. Firstly through an analysis of local stability of the equilibriums, we present existence conditions of Hopf bifurcation. Then by constructing Dulac function, we show the nonexistence conditions of limit cycle. Finally, we discuss global stability of equilibriums.
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