A mathematical model applied to investigate the potential impact of global warming on marine ecosystems

Mandal, Sajib; Islam, Md. Sirajul; Biswas, Md. Haider Ali; Akter, Sonia

doi:10.1016/j.apm.2021.08.026

Cited by 29 publications

(26 citation statements)

References 35 publications

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“…Pool (15) suggested that the act of modelling would become a third domain of science, joining the traditional domains of theory and experimentation. In this sense, important political decisions, such as the effect of global warming on terrestrial biology (16,17) , public health, and pandemic management (18) , have come to depend heavily on modelling studies. In addition, researchers have started to use modelling in the most diverse fields of science, e.g.…”

Section: Mathematical Modelsmentioning

confidence: 99%

Aspectos relacionados con la importancia del uso de modelos predictivos en la producción ovina. Revisión

Gurgel

Difante

Ítavo

et al. 2022

Rev. Mex. Cienc. Pecu.

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Sheep production systems face numerous challenges, which make decision-making a process fraught with risks and uncertainties. Modelling is a helpful tool in this respect, as it allows decision-makers to evaluate the behaviour of variables and their interrelationships, in addition to using previous or related information to predict results and simulate different scenarios. The advent of prediction models has made it possible to monitor the weight of an animal and determine the best time for its sale. Additionally, it allows producers to estimate the weights of the carcass and major marketable cuts before slaughter. All this information is directly associated with the profitability and success of the production activity. Therefore, in view of the different applications of mathematical models in production systems, this literature review examines concepts in modelling studies and the importance of using prediction models in meat sheep production. Furthermore, it addresses the practical application of modelling studies in predicting dry matter intake and carcass traits of meat sheep through correlated variables.

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Section: Mathematical Modelsmentioning

confidence: 99%

Aspectos relacionados con la importancia del uso de modelos predictivos en la producción ovina. Revisión

Gurgel

Difante

Ítavo

et al. 2022

Rev. Mex. Cienc. Pecu.

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“…This model consisted of the dynamical variables of atmospheric concentration of CO2, human population, forest biomass, and carbon tax. Mandal et al [6] investigated the effect of global warming on marine ecosystems through a mathematical model. The model consisted of the dynamic concentration of environmental greenhouse gases, rising atmospheric temperature, density of planktonic population, and density of fish population in marine ecosystems.…”

Section: Introductionmentioning

confidence: 99%

Optimization Technique on Dynamics of Carbon Dioxide to Controlling Global Warming

Mehmood,

Hassan

2024

Preprint

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Background Carbon dioxide is increasing in the atmosphere day by day due to diverse sources increasing global warming. Meeting the energy demands of the expanding human population, large-scale carbon dioxide (CO2) is produced. Effective reduction of CO2 emissions from the energy sector and others through optimization is required to reduce global warming. Model: This paper presents a mathematical model that captures the dynamic relationship between carbon dioxide levels in the atmosphere, human population dynamics, energy use, and the progression of global warming as distinct sections. Real-time data from these sections are utilized to adjust model parameters. Methodology: Firstly, the stability analysis of the proposed model is examined to determine whether solutions remain bounded or converge to specific states on the equilibrium points. Secondly, sensitivity analysis of the model is investigated and determines the behavior of the dynamic system on changes in parameters. Lastly, the optimization technique is applied to the model to reduce global warming by optimizing the level of CO2 emission from the energy sector. Results Through optimization, results show that global warming is majorly reduced when the CO2 emission from the energy sector is reduced. Novelty: The thorough analysis and validation of the proposed model offer valuable insights for devising effective strategies to mitigate climate change.

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“…Rapid global warming is raising atmospheric carbon dioxide levels, creating an ocean climate that is unfavorable and resulting in decreased plankton and fish populations in marine ecosystems. If this keeps up, by the end of this century a sizable section of marine ecosystems might be eliminated or degraded 5 . In the past 60 years, the Indian Ocean’s marine fish and phytoplankton populations have declined by 20% due to global warming.…”

Section: Introductionmentioning

confidence: 99%

Generalized Ulam-Hyers-Rassias stability and novel sustainable techniques for dynamical analysis of global warming impact on ecosystem

Farman,

Shehzad,

Nisar

et al. 2023

Sci Rep

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Marine structure changes as a result of climate change, with potential biological implications for human societies and marine ecosystems. These changes include changes in temperatures, flow, discrimination, nutritional inputs, oxygen availability, and acidification of the ocean. In this study, a fractional-order model is constructed using the Caputo fractional operator, which singular and nol-local kernel. A model examines the effects of accelerating global warming on aquatic ecosystems while taking into account variables that change over time, such as the environment and organisms. The positively invariant area also demonstrates positive, bounded solutions of the model treated. The equilibrium states for the occurrence and extinction of fish populations are derived for a feasible solution of the system. We also used fixed-point theorems to analyze the existence and uniqueness of the model. The generalized Ulam-Hyers-Rassias function is used to analyze the stability of the system. To study the impact of the fractional operator through computational simulations, results are generated employing a two-step Lagrange polynomial in the generalized version for the power law kernel and also compared the results with an exponential law and Mittag Leffler kernel. We also produce graphs of the model at various fractional derivative orders to illustrate the important influence that the fractional order has on the different classes of the model with the memory effects of the fractional operator. To help with the oversight of fisheries, this research builds mathematical connections between the natural world and aquatic ecosystems.

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A mathematical model applied to investigate the potential impact of global warming on marine ecosystems

Cited by 29 publications

References 35 publications

Aspectos relacionados con la importancia del uso de modelos predictivos en la producción ovina. Revisión

Aspectos relacionados con la importancia del uso de modelos predictivos en la producción ovina. Revisión

Optimization Technique on Dynamics of Carbon Dioxide to Controlling Global Warming

Generalized Ulam-Hyers-Rassias stability and novel sustainable techniques for dynamical analysis of global warming impact on ecosystem

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