Dynamical study of harmful algal bloom in Sundarban mangrove wetland with spatial interaction and competing effects

Thakur, Nilesh Kumar; Singh, Ravikant; Ojha, Archana

doi:10.1007/s40808-021-01088-6

Cited by 6 publications

(9 citation statements)

References 62 publications

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“…Using the above parametric set, we found a stable interior equilibrium point E * (N * , P * ) = (1.8131, 0.5650) for the model system (1). Now, we try to identify the dynamical changes of the model system (1) by varying the production rate of toxic substance 𝜃, input concentration of nutrients a, and mortality rate of phytoplankton 𝛿 1 while rest parameters are given in Equation (27). Figure 3 shows the bifurcation diagrams for model system (1) by taking 𝜃 as bifurcation parameters in which the successive variation of nutrient and phytoplankton have been observed in the ranges 1.6 ≤ N ≤ 3 and 0.1 ≤ P ≤ 0.9, respectively, whereas 𝜃 is considered in the range 0.25 ≤ 𝜃 ≤ 0.35.…”

Section: Simulation Results For Non-spatial System (1)mentioning

confidence: 99%

“…Yu et al 26 investigated the effect of toxin phytoplankton through a mathematical model and examined the environmental fluctuations on it. Recently, Thakur et al 27 have inscribed a detailed study of a diffusive plankton interaction model with toxic phytoplankton for the Sundarban wetland and revealed that the increasing time and different diffusion coefficient help algal blooms to organize in strip and spot patterns.…”

Section: Introductionmentioning

confidence: 99%

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Dynamical study of nutrient‐phytoplankton model with toxicity: Effect of diffusion and time delay

Singh

Tiwari

Ojha

et al. 2022

Math Methods in App Sciences

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The control of such algal bloom is required for the conservation of marine ecology. The proposed work discusses a model for interacting nutrient phytoplankton systems with the effect of toxic chemicals released by phytoplankton and time delay in toxin liberation. Our main aim is to provide a great insight into the impact of toxins and time delay on the dynamics of nutrient-phytoplankton. We investigate the stability of system dynamics, and the condition for the existence of Turing instability is obtained. The role of time delay is also investigated for the proposed system. The numerical simulation shows that toxin release rate, the diffusion coefficient of nutrients, and time delay significantly impact system dynamics. We observe that increasing values of toxin release results in the system dynamics show stable and oscillatory behavior without diffusion. The spatial and spatio-temporal patterns show that the higher value of the rate of toxin release lead to periodic and standing waves. Finally, we observe that the time delay in toxin distribution term stabilizes and destabilizes the system dynamics.

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Section: Simulation Results For Non-spatial System (1)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamical study of nutrient‐phytoplankton model with toxicity: Effect of diffusion and time delay

Singh

Tiwari

Ojha

et al. 2022

Math Methods in App Sciences

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“…In Figs. [16][17][18] we have observed the impact of the fractional derivative in transforming the system from instability to global stability around the coexistence equilibrium point A 3 (1.5922, 0.2269, 0.5509). A fractional derivative has a significant influence in projecting the coexistence of elements of the ecosytem in a stable atmosphere.…”

Section: Numerical Simulationmentioning

confidence: 99%

“…Saha and Bandopadhaya suggested a toxin-producing phytoplankton-zooplankton model in which the toxin released by phytoplankton species distinctly varied over time. The impact of ingesting toxic and nontoxic phytoplankton on zooplankton density is examined in the interaction between plankton systems [17]. The influence of harvesting on cohabitation and competitive exclusion of competing predators was studied by Pei et al [18].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of a fractional plankton–fish model under the influence of toxicity, refuge, and combine-harvesting efforts

Premakumari

Baishya

Kaabar³

2022

J Inequal Appl

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In this work, we analyze plankton–fish dynamics in the presence of toxicity, refuge, and combine-harvesting efforts by a considering Holling type-II functional response. We have considered phytoplankton, zooplankton, and fish populations, and the interdependent evolution is presented with the help of the Caputo fractional derivative. Since toxicity in phytoplankton spreads to zooplankton and hence to fish, we have introduced toxic terms in all the populations. On the other hand, to save the population from extinction harvesting is an essential tool. Theoretical aspects are studied in terms of nonnegativity, boundedness, existence, and uniqueness of the solution. Sufficient conditions are derived for the stability of various points of equilibrium. The composite behavior is studied by varying the values of different parameters and fractional derivatives. Numerical simulations are carried out to strengthen the theoretical findings.

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“…The mangrove sediments are rich in nutrients due to the rapid decomposition of organic matters [ 14 ], and it holds financial worth up to USD 232.49 per hectare when transformed into fertilizer in the agroindustry sector [ 15 , 16 ]. However, the equilibrium between conservation and exploration is compulsory to contain the sustainability effort [ 17 , 18 , 19 ].…”

Section: Introductionmentioning

confidence: 99%

Exploring the Mangrove Fruit: From the Phytochemicals to Functional Food Development and the Current Progress in the Middle East

et al. 2022

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Nowadays, the logarithmic production of existing well-known food materials is unable to keep up with the demand caused by the exponential growth of the human population in terms of the equality of access to food materials. Famous local food materials with treasury properties such as mangrove fruits are an excellent source to be listed as emerging food candidates with ethnomedicinal properties. Thus, this study reviews the nutrition content of several edible mangrove fruits and the innovation to improve the fruit into a highly economic food product. Within the mangrove fruit, the levels of primary metabolites such as carbohydrates, protein, and fat are acceptable for daily intake. The mangrove fruits, seeds, and endophytic fungi are rich in phenolic compounds, limonoids, and their derivatives as the compounds present a multitude of bioactivities such as antimicrobial, anticancer, and antioxidant. In the intermediary process, the flour of mangrove fruit stands as a supplementation for the existing flour with antidiabetic or antioxidant properties. The mangrove fruit is successfully transformed into many processed food products. However, limited fruits from species such as Bruguiera gymnorrhiza, Rhizophora mucronata, Sonneratia caseolaris, and Avicennia marina are commonly upgraded into traditional food, though many more species demonstrate ethnomedicinal properties. In the Middle East, A. marina is the dominant species, and the study of the phytochemicals and fruit development is limited. Therefore, studies on the development of mangrove fruits to functional for other mangrove species are demanding. The locally accepted mangrove fruit is coveted as an alternate food material to support the sustainable development goal of eliminating world hunger in sustainable ways.

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Dynamical study of harmful algal bloom in Sundarban mangrove wetland with spatial interaction and competing effects

Cited by 6 publications

References 62 publications

Dynamical study of nutrient‐phytoplankton model with toxicity: Effect of diffusion and time delay

Dynamical study of nutrient‐phytoplankton model with toxicity: Effect of diffusion and time delay

Dynamics of a fractional plankton–fish model under the influence of toxicity, refuge, and combine-harvesting efforts

Exploring the Mangrove Fruit: From the Phytochemicals to Functional Food Development and the Current Progress in the Middle East

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