Bloom dynamics under the effects of periodic driving forces
Phytoplankton bloom received considerable attention for many decades. Different approaches have been used to explain the bloom phenomena. In this paper, we study a Nutrient–Phytoplankton–Zooplankton (NPZ) model consisting of a periodic driving force in the growth rate of phytoplankton due to solar r...
Published in: | Mathematical Biosciences |
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Elsevier BV
2024
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Online Access: | http://hdl.handle.net/1959.3/478471 https://doi.org/10.1016/j.mbs.2024.109202 |
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ftswinburne:tle:268f50ef-bf15-4831-bfc9-93cf49e3b4a1:28f49f06-0da8-44be-9edc-ad1dd0a9c582:1 2024-06-09T07:48:19+00:00 Bloom dynamics under the effects of periodic driving forces Mondal, Milton Zhang, Tonghua Swinburne University of Technology 2024 http://hdl.handle.net/1959.3/478471 https://doi.org/10.1016/j.mbs.2024.109202 unknown Elsevier BV http://hdl.handle.net/1959.3/478471 https://doi.org/10.1016/j.mbs.2024.109202 Copyright © 2024. Mathematical Biosciences, Vol. 372 (Jun 2024), 109202 Journal article 2024 ftswinburne https://doi.org/10.1016/j.mbs.2024.109202 2024-05-14T23:32:00Z Phytoplankton bloom received considerable attention for many decades. Different approaches have been used to explain the bloom phenomena. In this paper, we study a Nutrient–Phytoplankton–Zooplankton (NPZ) model consisting of a periodic driving force in the growth rate of phytoplankton due to solar radiation and analyse the dynamics of the corresponding autonomous and non-autonomous systems in different parametric regions. Then we introduce a novel aspect to extend the model by incorporating another periodic driving force into the growth term of the phytoplankton due to sea surface temperature (SST), a key point of innovation. Temperature dependency of the maximum growth rate (μmax) of the phytoplankton is modelled by the well-known Q10 formulation: μmax=μ0∗(Q10)T/10, where μ0 is maximum growth at 0oC. Stability conditions for all three equilibrium points are expressed in terms of the new parameter ρ2, which appears due to the incorporation of periodic driving forces. System dynamics is explored through a detailed bifurcation analysis, both mathematically and numerically, with respect to the light and temperature dependent phytoplankton growth response. Bloom phenomenon is explained by the saddle point bloom mechanism even when the co-existing equilibrium point does not exist for some values of ρ2. Solar radiation and SST are modelled using sinusoidal functions constructed from satellite data. Our results of the proposed model describe the initiation of the phytoplankton bloom better than an existing model for the region 25–35° W, 40–45° N of the North Atlantic Ocean. An improvement of 14 days (approximately) is observed in the bloom initiation time. The rate of change method (ROC) is applied to predict the bloom initiation. Article in Journal/Newspaper North Atlantic Swinburne University of Technology: Swinburne Research Bank Saddle Point ENVELOPE(73.483,73.483,-53.017,-53.017) Mathematical Biosciences 372 109202 |
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Open Polar |
collection |
Swinburne University of Technology: Swinburne Research Bank |
op_collection_id |
ftswinburne |
language |
unknown |
description |
Phytoplankton bloom received considerable attention for many decades. Different approaches have been used to explain the bloom phenomena. In this paper, we study a Nutrient–Phytoplankton–Zooplankton (NPZ) model consisting of a periodic driving force in the growth rate of phytoplankton due to solar radiation and analyse the dynamics of the corresponding autonomous and non-autonomous systems in different parametric regions. Then we introduce a novel aspect to extend the model by incorporating another periodic driving force into the growth term of the phytoplankton due to sea surface temperature (SST), a key point of innovation. Temperature dependency of the maximum growth rate (μmax) of the phytoplankton is modelled by the well-known Q10 formulation: μmax=μ0∗(Q10)T/10, where μ0 is maximum growth at 0oC. Stability conditions for all three equilibrium points are expressed in terms of the new parameter ρ2, which appears due to the incorporation of periodic driving forces. System dynamics is explored through a detailed bifurcation analysis, both mathematically and numerically, with respect to the light and temperature dependent phytoplankton growth response. Bloom phenomenon is explained by the saddle point bloom mechanism even when the co-existing equilibrium point does not exist for some values of ρ2. Solar radiation and SST are modelled using sinusoidal functions constructed from satellite data. Our results of the proposed model describe the initiation of the phytoplankton bloom better than an existing model for the region 25–35° W, 40–45° N of the North Atlantic Ocean. An improvement of 14 days (approximately) is observed in the bloom initiation time. The rate of change method (ROC) is applied to predict the bloom initiation. |
author2 |
Swinburne University of Technology |
format |
Article in Journal/Newspaper |
author |
Mondal, Milton Zhang, Tonghua |
spellingShingle |
Mondal, Milton Zhang, Tonghua Bloom dynamics under the effects of periodic driving forces |
author_facet |
Mondal, Milton Zhang, Tonghua |
author_sort |
Mondal, Milton |
title |
Bloom dynamics under the effects of periodic driving forces |
title_short |
Bloom dynamics under the effects of periodic driving forces |
title_full |
Bloom dynamics under the effects of periodic driving forces |
title_fullStr |
Bloom dynamics under the effects of periodic driving forces |
title_full_unstemmed |
Bloom dynamics under the effects of periodic driving forces |
title_sort |
bloom dynamics under the effects of periodic driving forces |
publisher |
Elsevier BV |
publishDate |
2024 |
url |
http://hdl.handle.net/1959.3/478471 https://doi.org/10.1016/j.mbs.2024.109202 |
long_lat |
ENVELOPE(73.483,73.483,-53.017,-53.017) |
geographic |
Saddle Point |
geographic_facet |
Saddle Point |
genre |
North Atlantic |
genre_facet |
North Atlantic |
op_source |
Mathematical Biosciences, Vol. 372 (Jun 2024), 109202 |
op_relation |
http://hdl.handle.net/1959.3/478471 https://doi.org/10.1016/j.mbs.2024.109202 |
op_rights |
Copyright © 2024. |
op_doi |
https://doi.org/10.1016/j.mbs.2024.109202 |
container_title |
Mathematical Biosciences |
container_volume |
372 |
container_start_page |
109202 |
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1801379988839071744 |