Dynamics Induced by Delay in a Nutrient-Phytoplankton Model with Multiple Delays
Joint Authors
Dai, Chuanjun
Wang, Qi
Guo, Qing
Liu, He
Ma, Zengling
Yu, Hengguo
Zhao, Min
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-03
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
A nutrient-phytoplankton model with multiple delays is studied analytically and numerically.
The aim of this paper is to study how the delay factors influence dynamics of interaction between nutrient and phytoplankton.
The analytical analysis indicates that the positive equilibrium is always globally asymptotically stable when the delay does not exist.
On the contrary, the positive equilibrium loses its stability via Hopf instability induced by delay and then the corresponding periodic solutions emerge.
Especially, the stability switches for positive equilibrium occur as the delay is increased.
Furthermore, the numerical simulations show that periodic-2 and periodic-3 solutions can appear due to the existence of delays.
Numerical results are consistent with the analytical results.
Our results demonstrate that the delay has a great impact on the nutrient-phytoplankton dynamics.
American Psychological Association (APA)
Dai, Chuanjun& Yu, Hengguo& Guo, Qing& Liu, He& Wang, Qi& Ma, Zengling…[et al.]. 2019. Dynamics Induced by Delay in a Nutrient-Phytoplankton Model with Multiple Delays. Complexity،Vol. 2019, no. 2019, pp.1-16.
https://search.emarefa.net/detail/BIM-1131596
Modern Language Association (MLA)
Dai, Chuanjun…[et al.]. Dynamics Induced by Delay in a Nutrient-Phytoplankton Model with Multiple Delays. Complexity No. 2019 (2019), pp.1-16.
https://search.emarefa.net/detail/BIM-1131596
American Medical Association (AMA)
Dai, Chuanjun& Yu, Hengguo& Guo, Qing& Liu, He& Wang, Qi& Ma, Zengling…[et al.]. Dynamics Induced by Delay in a Nutrient-Phytoplankton Model with Multiple Delays. Complexity. 2019. Vol. 2019, no. 2019, pp.1-16.
https://search.emarefa.net/detail/BIM-1131596
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131596