Toxic Phytoplankton Detection

2014 ◽  
pp. 497-520 ◽  
Author(s):  
Alberto Otero ◽  
María-José Chapela ◽  
Paula Fajardo ◽  
Alejandro Garrido ◽  
Ana G. Cabado
Keyword(s):  
Toxic Phytoplankton

scholarly journals On the Dynamical Behavior of Toxic-Phytoplankton-Zooplankton Model with Delay

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Mehbuba Rehim ◽  
Weixin Wu ◽  
Ahmadjan Muhammadhaji
Keyword(s):  
Time Delay ◽  
Phytoplankton Bloom ◽  
Dynamical Behavior ◽  
Time Lag ◽  
Toxic Substance ◽  
Predation Rate ◽  
Dynamical Behaviour ◽  
Toxic Substances ◽  
Toxic Phytoplankton ◽  
Discrete Time Delay

A toxin producing phytoplankton-zooplankton model with inhibitory exponential substrate and time delay has been formulated and analyzed. Since the liberation of toxic substances by phytoplankton species is not an instantaneous process but is mediated by some time lag required for maturity of the species and the zooplankton mortality due to the toxic phytoplankton bloom occurs after some time laps of the bloom of toxic phytoplankton, we induced a discrete time delay to both of the consume response function and distribution of toxic substance term. Furthermore, based on the fact that the predation rate decreases at large toxic-phytoplankton density, the system is modelled via a Tissiet type functional response. We study the dynamical behaviour and investigate the conditions to guarantee the coexistence of two species. Analytical methods and numerical simulations are used to obtain information about the qualitative behaviour of the models.

scholarly journals The dynamics of nutrient, toxic phytoplankton, nontoxic phytoplankton and zooplankton model

2016 ◽  
Vol 5 (1) ◽  
pp. 48
Author(s):  
Hasnaa Fiesal Mohammed Hussien ◽  
Raid Kamel Naji ◽  
Azhar Abbas Majeed
Keyword(s):  
Food Web ◽  
Nonlinear Differential Equations ◽  
Equilibrium Points ◽  
Dynamical Behavior ◽  
Toxic Substance ◽  
Global Dynamics ◽  
Defensive Strategy ◽  
Toxic Phytoplankton ◽  
System A ◽  
Aquatic Food

<p>The objective of this paper is to study the dynamical behavior of an aquatic food web system. A mathematical model that includes nutrients, phytoplankton and zooplankton is proposed and analyzed. It is assumed that, the phytoplankton divided into two compartments namely toxic phytoplankton which produces a toxic substance as a defensive strategy against predation by zooplankton, and a nontoxic phytoplankton. All the feeding processes in this food web are formulating according to the Lotka-Volterra functional response. This model is represented mathematically by the set of nonlinear differential equations. The existence, uniqueness and boundedness of the solution of this model are investigated. The local and global stability conditions of all possible equilibrium points are established. The occurrence of local bifurcation and Hopf bifurcation are investigated. Finally, numerical simulation is used to study the global dynamics of this model.</p>

Study on the Selective Grazing of Zooplankton in Plankton Ecosystem

2013 ◽  
Vol 864-867 ◽  
pp. 17-21
Author(s):  
Yan Lin Zheng ◽  
Zhuo Ying Lv
Keyword(s):  
Harmful Algal Blooms ◽  
Algal Blooms ◽  
Marine Ecosystem ◽  
Laboratory Data ◽  
Ecosystem Dynamics ◽  
Human Environment ◽  
Grazing Behavior ◽  
Toxic Phytoplankton ◽  
Type Iv ◽  
Selective Grazing

Harmful algal blooms (Habs) caused great harm to the human environment. Habs occurrence was connected with other types of plankton. This relationship may be restrictive, and may also be promotional. Selectivity of zooplankton grazing has an important influence on the Habs. The behavior of zooplankton selective grazing was studied in the plankton ecosystem formed by three populations of nontoxic phytoplankton-toxic phytoplankton-zooplankton (NTP-TTP-Z) system. The selective grazing function of zooplankton on toxic phytoplankton and non-toxic phytoplankton was built based on Holling type IV functional response. Numerical simulation was given depending on the laboratory data. Results show that the models nicely explained the selective grazing behavior of zooplankton in the three species ecosystem, and provided key parameters for the marine ecosystem dynamics models.

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