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

<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>

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Publication Date
Sat Dec 30 2023
Journal Name
Iraqi Journal Of Science
The dynamics of two harmful phytoplankton and herbivorous zooplankton system

In this paper, a mathematical model consisting of the two harmful
phytoplankton interacting with a herbivorous zooplankton is proposed and studied.
The existence of all possible equilibrium points is carried out. The dynamical
behaviors of the model system around biologically feasible equilibrium points are
studied. Suitable Lyapunov functions are used to construct the basins of attractions
of those points. Conditions for which the proposed model persists are established.
The occurrence of local bifurcation and a Hopf bifurcation are investigated. Finally,
to confirm our obtained analytical results and specify the vital parameters, numerical
simulations are used for a hypothetical set of parameter values.

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Publication Date
Tue Feb 13 2024
Journal Name
Iraqi Journal Of Science
The Dynamics of One Harmful Phytoplankton and Two Competing Zooplankton System

In this paper, a mathematical model consisting of harmful phytoplankton and two competing zooplankton is proposed and studied. The existence of all possible equilibrium points is carried out. The dynamical behaviors of the model system around biologically feasible equilibrium points are studied. Suitable Lyapunov functions are used to construct the basins of attractions of those points. Conditions for which the proposed model persists are established. The occurrence of local bifurcation and a Hopf bifurcation are investigated. Finally, to confirm our obtained analytical results and specify the vital parameters, numerical simulations are used for a hypothetical set of parameter values.

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Publication Date
Wed Jun 01 2016
Journal Name
Journal Of Al-nahrain University-science
Global Stability of Harmful Phytoplankton and Herbivorous Zooplankton with Holling Type IV Functional Response

In this paper harmful phytoplankton and herbivorous zooplankton model with Hollimg type IV functional response is proposed and analyzed. The local stability analysis of the system is carried out. The global dynamics of the system is investigated with the help of the Lyapunov function. Finally, the analytical obtained results are supported with numerical simulation.

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Publication Date
Sun Jun 01 2008
Journal Name
Baghdad Science Journal
Laboratory study on the effects of nutrient enrichment on a phytoplankton population in Sawa Lake, Iraq

Nutrient enrichment of Sawa lake water was made using different nitrogen and phosphorus concentrations during autumn and spring at three stations. Different concentrations of nitrogen, phosphorus and N: P ratios were used to test variations in phytoplankton population dynamics. Nitrogen at a concentration of 25 µmole.l-1 and N: P ratio of 10:1 gave highest phytoplankton cell number at all stations and seasons. A total of 64 algal taxa dominated by Bacillariophyceae followed by Cyanophyceae and Chlorophyceae were identified. The values of Shannon index of diversity were more than one in the studied stations.

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Publication Date
Sat Jan 01 2022
Journal Name
Communications In Mathematical Biology And Neuroscience
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Publication Date
Sat Apr 15 2023
Journal Name
Iraqi Journal Of Science
Seasonal Variation of Phytoplankton in AL-Diwaniya River

This study was conducted from January to October 2014, the samples were
collected monthly from four stations in AL-Diwaniya River at AL-Diwaniya city.
Phytoplankton species which are diagnosed during study period are (506) and the
numbers of common types in four sites are (61). Bacillariophyceae is dominate on
other classes and Chlorophyceae, Cyanophyceae, Dinophyceae then Chrysophyceae
and Euglenophyceae. The study shows that there are (150), (144), (118) and (94)
species in the first, second, third and fourth sites. The species that have highs numbers
are (Achnanthes, Cymbella, Nitzschia, Navicula). Other types are dominant in their
existence and number during study period (Cycltella comta, Cylotella Ocellata,

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Publication Date
Sun Mar 03 2013
Journal Name
Baghdad Science Journal
Phytoplankton compositions in Alaaras torist Island Lake – Iraq

The study includes the phytoplankton compositions in Alaaras Lake , in summer 2008 and winter , spring , summer 2009. Samples were collected from three selected sites at north , middle and south of lake. A total of 74 taxa of phytoplankton were identified . The diatoms were the dominated by 44 taxa represented 82.8% of the total indentified species, followed by green algae ( Chlorophyta ) of 20 taxa (8.5%), and blue green algae (Cyanophyta of 7 taxa (7.2%). Tow species were recorded of Pyrrophyta and one species of Euglenophyta .The seasonal variation for Diatoms density showed tow peaks during Autumn and summer. Few species were dominated during the most studied period such as Cocconeis placentula var. euglypta, Synedra fasciculata and

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Publication Date
Sun Mar 13 2011
Journal Name
Baghdad Science Journal
Phytoplankton primary production in southern Iraqi marshes after restoration

Primary productivity and chlorophyll-a were used in this study to monitor the restoration process of southern Iraqi marshes (Al-Hewaizeh, central marshes, and Al-Hammar). The phytoplankton primary productivity was based on oxygen light/dark bottle method. Two different depths samples were taken monthly from six studied marshes stations (two stations for each marsh) during November 2005 to October 2006, while chlorophyll-a samples taken from surface water. The phytoplankton primary productivity values ranged 9.38 – 249.79 mg C/m3.hr for all marshes, its values for surface water sample ranged 11.71 – 256.24 mg C/m3.hr, while for 1m depth ranged 9.38 – 142.5 mg C/m3.hr. Chlorophyll-a values ranged between (1.1 – 21.26) µg/l indicating

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Publication Date
Thu Mar 30 2023
Journal Name
Iraqi Journal Of Science
Phytoplankton Diversity and Pollution Index in North Part of Euphrates River, Iraq

This study covered approximately 150 km from the northern part of the Euphrates River in Iraq. Water and phytoplankton samples were monthly collected from six selected stations from April 2013 to March 2014; three stations were distributed within Hadithah Reservoir, while the three others were in the river's inflow. Water physical and chemical parameters and the phytoplankton community structure were analyzed. The most important results of this study were the diagnoses of 355 phytoplankton species belong to eight phylums. Algal class Bacillariophyceae which belong to phylum Ochrophyta was the most qualitative and quantitative dominant in all stations over the study period. The stations within the reservoir were characterized by higher nu

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Publication Date
Sun Jun 06 2010
Journal Name
Baghdad Science Journal
The effect of wastewater disposal on the water quality and phytoplankton in Erbil wastewater channel.

In this study, phytoplankton density, chlorophyll-a, and selected physico- chemical parameters were investigated in Erbil wastewater channel. The surveys were carried out monthly from May 2003 to April 2004. Samplings were established on three sites from headwaters to the mouth. The results showed that pH was in alkaline side of neutrality, with significant differences (P<0.05) between sites 1 and 3. TSS concentration decreased from site 1 toward site 2 (mean value, 80.15 to 25.79 mg.l-1). A clear gradual increase in mineral content (TDS) observed from site one of the channel towards the mouthpart. Soluble reactive phosphate has a concentration maximum mean value reached 48.4 µg.l-1 which is recorded in site 2. A high positive relat

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