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Mathematical analysis of plankton population dynamics

Yussof, Fatin Nadiah and Maan, Normah and Reba, Nadzri (2020) Mathematical analysis of plankton population dynamics. Yussof, 16 (1). pp. 109-114. ISSN 2289-5981

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Official URL: https://mjfas.utm.my/index.php/mjfas/article/view/...

Abstract

Harmful algal blooms (HABs) event that causes enormous economic loss and health effect raises concerns among environmentalists. In this paper, a mathematical model of interaction between nutrient, toxin-producing phytoplankton (TPP), non-toxic phytoplankton (NTP), zooplankton, and toxic chemicals is proposed to study on how the process of these HABs occurred. The model of interaction is represented by Ordinary Differential Equations (ODEs) and stability analysis of the model is conducted. Several conditions for the system to be stable around trivial and interior equilibrium point are obtained. From the analysis, it is observed that under nutrient limitation, the amounts of toxic chemicals secreted out by the TPP are increased. As a result, NTP population and zooplankton population are affected by the situation. If this situation is prolonged, this will result in the extinction of both populations. Overall, this study shows that TPP release more toxic chemicals when the nutrient is limited and gives a better understanding on the occurrence of HABs event.

Item Type:Article
Uncontrolled Keywords:Stability analysis, harmful algal blooms, toxin-producing phytoplankton, nutrient limitation
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:85578
Deposited By: Fazli Masari
Deposited On:30 Jun 2020 16:50
Last Modified:30 Jun 2020 16:50

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