Spatiotemporal Patterns Formed by a Discrete Nutrient-Phytoplankton Model with Time Delay
In this research, a continuous nutrient-phytoplankton model with time delay and Michaelis–Menten functional response is discretized to a spatiotemporal discrete model. Around the homogeneous steady state of the discrete model, Neimark–Sacker bifurcation and Turing bifurcation analysis are investigat...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/8541432 |
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| _version_ | 1832566440480210944 |
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| author | Feifan Zhang Wenjiao Zhou Lei Yao Xuanwen Wu Huayong Zhang |
| author_facet | Feifan Zhang Wenjiao Zhou Lei Yao Xuanwen Wu Huayong Zhang |
| author_sort | Feifan Zhang |
| collection | DOAJ |
| description | In this research, a continuous nutrient-phytoplankton model with time delay and Michaelis–Menten functional response is discretized to a spatiotemporal discrete model. Around the homogeneous steady state of the discrete model, Neimark–Sacker bifurcation and Turing bifurcation analysis are investigated. Based on the bifurcation analysis, numerical simulations are carried out on the formation of spatiotemporal patterns. Simulation results show that the diffusion of phytoplankton and nutrients can induce the formation of Turing-like patterns, while time delay can also induce the formation of cloud-like pattern by Neimark–Sacker bifurcation. Compared with the results generated by the continuous model, more types of patterns are obtained and are compared with real observed patterns. |
| format | Article |
| id | doaj-art-cd59b9164c9a4e07af160455879ad7eb |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-cd59b9164c9a4e07af160455879ad7eb2025-02-03T01:04:14ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/85414328541432Spatiotemporal Patterns Formed by a Discrete Nutrient-Phytoplankton Model with Time DelayFeifan Zhang0Wenjiao Zhou1Lei Yao2Xuanwen Wu3Huayong Zhang4Research Center for Engineering Ecology and Nonlinear Science, North China Electric Power University, Beijing 102206, ChinaResearch Center for Engineering Ecology and Nonlinear Science, North China Electric Power University, Beijing 102206, ChinaResearch Center for Engineering Ecology and Nonlinear Science, North China Electric Power University, Beijing 102206, ChinaResearch Center for Engineering Ecology and Nonlinear Science, North China Electric Power University, Beijing 102206, ChinaResearch Center for Engineering Ecology and Nonlinear Science, North China Electric Power University, Beijing 102206, ChinaIn this research, a continuous nutrient-phytoplankton model with time delay and Michaelis–Menten functional response is discretized to a spatiotemporal discrete model. Around the homogeneous steady state of the discrete model, Neimark–Sacker bifurcation and Turing bifurcation analysis are investigated. Based on the bifurcation analysis, numerical simulations are carried out on the formation of spatiotemporal patterns. Simulation results show that the diffusion of phytoplankton and nutrients can induce the formation of Turing-like patterns, while time delay can also induce the formation of cloud-like pattern by Neimark–Sacker bifurcation. Compared with the results generated by the continuous model, more types of patterns are obtained and are compared with real observed patterns.http://dx.doi.org/10.1155/2020/8541432 |
| spellingShingle | Feifan Zhang Wenjiao Zhou Lei Yao Xuanwen Wu Huayong Zhang Spatiotemporal Patterns Formed by a Discrete Nutrient-Phytoplankton Model with Time Delay Complexity |
| title | Spatiotemporal Patterns Formed by a Discrete Nutrient-Phytoplankton Model with Time Delay |
| title_full | Spatiotemporal Patterns Formed by a Discrete Nutrient-Phytoplankton Model with Time Delay |
| title_fullStr | Spatiotemporal Patterns Formed by a Discrete Nutrient-Phytoplankton Model with Time Delay |
| title_full_unstemmed | Spatiotemporal Patterns Formed by a Discrete Nutrient-Phytoplankton Model with Time Delay |
| title_short | Spatiotemporal Patterns Formed by a Discrete Nutrient-Phytoplankton Model with Time Delay |
| title_sort | spatiotemporal patterns formed by a discrete nutrient phytoplankton model with time delay |
| url | http://dx.doi.org/10.1155/2020/8541432 |
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