Stability Analysis of Plankton–Fish Dynamics with Cannibalism Effect and Proportionate Harvesting on Fish

Mortoja, Sk Golam; Panja, Prabir; Mondal, Shyamal Kumar

doi:10.3390/math11133011

Cited by 6 publications

(2 citation statements)

References 60 publications

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“…The plant (phytoplankton) and animal (zooplankton) life forms commercially significant fish consume are considered live food organisms. Zooplankton often consumes phytoplankton (Mortoja et al, 2023). Live foods can help to encourage larval feeding behavior since they can swim in the water column and are continually accessible to fish and shrimp larvae (Rahimi-Midani, 2023).…”

Section: Live Foodmentioning

confidence: 99%

Potentiality of natural live food organisms in shrimp culture: A review

Sharma,

Gulati,

Singh

et al. 2023

JANS

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The aquaculture industry is growing quickly due to increased fish consumption and a decline in wild fish catch. About half of the world's seafood demand for human consumption is now met by farmed seafood. The aquafeed market is expanding along with the aquaculture sector. Some of the elements in shrimp feed are derived from terrestrial plants and low-value forage fishes (fish meal). It is impossible to produce more fish meals since doing so would harm the ocean's environment and sustainability. The reduction in shrimp feed cost can also be done by introducing low-cost, environment-friendly ingredients in shrimp feed formulation. Therefore, new and ecologically friendly shrimp (Litopenaeus vannamei) feed component sources must be created. Live food organisms are a preferable option for this since they provide a variety of essential amino acids and beneficial triglycerides like fat, vitamins, and colors in their cell metabolites. Microalgae biomasses also represent feasible ingredients for shrimp feed sources. Their distinctive variety of bioactive chemicals can enhance color and pellet quality, act as a bulk element in shrimp feed, and boost the viability of farmed species. Live food organisms have a great economic potential since they have the highest biomass productivity of all photosynthetic organisms. In addition to giving farmers and exporters a better choice for feeding their fish, the availability of on-grown live food would also open up the prospect of improving the performance and quality of the fish and shrimp through bioencapsulation. This review study examines the possibility of generating natural food biomass as a component in shrimp feed.

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Section: Live Foodmentioning

confidence: 99%

Potentiality of natural live food organisms in shrimp culture: A review

Sharma,

Gulati,

Singh

et al. 2023

JANS

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“…A special kind of omnivory known as intraguild predation [16] is characterized by predators that feed on one or more of the resources of their own prey. This approach can be applied to model a tritrophic food chain, such as a planktivorous fish that feeds on planktonic food, including phytoplankton and zooplankton, or herbivorous and carnivorous zooplankton [17,18]. A similar model can describe the interaction between phytoplankton, microzooplankton, and mesozooplankton.…”

Section: Introductionmentioning

confidence: 99%

Taxis-Driven Pattern Formation in Tri-Trophic Food Chain Model with Omnivory

Giricheva

2024

Mathematics

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The spatiotemporal dynamics of a three-component model of a food web are considered. The model describes the interactions between populations of resources, prey, and predators that consume both species. It assumes that the predator responds to the spatial change in the resource and prey densities by occupying areas where species density is higher (prey-taxis) and that the prey population avoids areas with a high predator density (predator-taxis). This work studies the conditions for the taxis-driven instability leading to the emergence of stationary patterns resulting from Turing instability and autowaves caused by wave instability. The existence of nonconstant positive steady states for the system is assessed through a rigorous bifurcation analysis. Meanwhile, the conditions for the existence of both types of instabilities are obtained by linear stability analysis. It is shown that the presence of cross-diffusion in the system supports the formation of spatially heterogeneous patterns. For low values of the resource-tactic and predator-tactic coefficients, Turing and wave instabilities coexist. The system undergoes only Turing instability for high levels of these parameters.

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Identifying numerical bifurcation structures of codimensions 1 and 2 in interacting species system

Dutta,

Mandal,

Narayan Guin

et al. 2024

Math Methods in App Sciences

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The present study has focused on the examination of a Holling type III nonlinear mathematical model that incorporates the influence of fear and Michaelis–Menten‐type predator harvesting. The incorporation of fear with respect to the prey species has been observed to result in a reduction in the survival probability of the prey population and a concurrent reduction in the reproduction rate of the prey species. The existence and stability of ecologically significant equilibria have been ascertained through mathematical analysis. Emphasis within the proposed model primarily centers on numerical bifurcations of codimensions 1 and 2. Numerical validation has been performed on all simulated outcomes within the feasible range of parametric values. Dynamical characteristics of the model have subsequently undergone investigation through a series of numerical simulations, successfully revealing various forms of local and global bifurcations. In addition to the identification of saddle‐node, Hopf, Bogdanov–Takens, transcritical, cusp, homoclinic, and limit point cycle (LPC) bifurcations, the model has also demonstrated bistability and global asymptotic stability. These bifurcation phenomena serve as illustrative examples of the intricate dynamical behavior inherent to the model. Numerical validation through graphical representations has been utilized to elucidate the effects of factors such as fear, nonlinear predator harvesting, and predation rate on the dynamics of the interacting species under different parametric conditions.

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Stability Analysis of Plankton–Fish Dynamics with Cannibalism Effect and Proportionate Harvesting on Fish

Cited by 6 publications

References 60 publications

Potentiality of natural live food organisms in shrimp culture: A review

Potentiality of natural live food organisms in shrimp culture: A review

Taxis-Driven Pattern Formation in Tri-Trophic Food Chain Model with Omnivory

Identifying numerical bifurcation structures of codimensions 1 and 2 in interacting species system

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