Groundwater depletion: A mathematical model incorporating climate and human factors
References
- Islam M.A., Biswas M.H.A., Potential impact of climate change on groundwater level declination in Bangladesh: A mathematical modeling computation, Informatica, 47(2), 261–274, 2023.
- Thirthar A.A., Panja P., Majeed S.J., Nisar K.S., Dynamic interactions in a two-species model of the mammalian predator-prey system: The influence of Allee effects, prey refuge, water resources, and moonlights, Partial Differential Equations in Applied Mathematics, 11, 100865, 2024.
- Thirthar A.A., Jawad S., Majeed S.J., Nisar K.S., Impact of wind flow and global warming in the dynamics of preypredator model, Results in Control and Optimization, 15, 100424, 2024.
- Al-Qubatee W., Hasan F.A., Ritzema H., Nasher G., Hellegers P., Natural and human-induced drivers of groundwater depletion in Wadi Zabid, Tihama coastal plain, Yemen, Journal of Environmental Planning and Management, 65(14), 2609–2630, 2022.
- Mandal S., Islam M.S., Biswas M.H.A., Akter S., A mathematical model applied to investigate the potential impact of global warming on marine ecosystems, Applied Mathematical Modelling, 101, 19–37, 2022.
- World Bank, Chart: Globally, 70% of freshwater is used in agriculture, https://blogs.worldbank.org/en/opendata/chart-globally-7 0-freshwater-used-agriculture, Accessed: January 01, 2026.
- NGWA, Information on Earth’s Water, https://www.ngwa.org/what-is-groundwater/About-groundwater/information-on-earths-wate, Accessed: January 01, 2026.
- NGWA, Get involved: Groundwater Awareness Week, https://www.ngwa.org/get-involved/gwaw, Accessed: January 01, 2026.
- Amanambu A.C., Obarein O.A., Mossa J., Li L., Ayeni S.S., Balogun O., Oyebamiji A., Ochege F.U., Groundwater system and climate change: Present status and future considerations, Journal of Hydrology, 589, 125163, 2020.
- Davamani V., John J.E., Poornachandhra C., Gopalakrishnan B., Arulmani S., Parameswari E., Santhosh A., Srinivasulu A., Lal A., Naidu R., A critical review of climate change impacts on groundwater resources: A focus on the current status, future possibilities, and role of simulation models, Atmosphere, 15(1), 122, 2024.
- NOAA, Climate change: Atmospheric carbon dioxide, https://www.climate.gov/news-features/understanding-climate/climate-change-atmospheric-carbon-dioxide, Accessed: January 01, 2026.
- Nisar K.S., Logeswari K., Vijayaraj V., Baskonus H.M., Ravichandran C., Fractional order modeling the Gemini virus in Capsicum annuum with optimal control, Fractal and Fractional, 6(2), 61, 2022.
- Elsonbaty A., Adel W., Sabbar Y., El-Mesady A., Nonlinear dynamics and optimal control of a fractional order cotton leaf curl virus model incorporating climate change influences, Partial Differential Equations in Applied Mathematics, 10, 100727, 2024.
- Singh J., Agrawal R., Nisar K.S., A new forecasting behavior of fractional model of atmospheric dynamics of carbon dioxide gas, Partial Differential Equations in Applied Mathematics, 9, 100595, 2024.
- Nisar K.S., Farman M., Abdel-Aty M., Ravichandran C., A review of fractional order epidemic models for life sciences problems: Past, present and future, Alexandria Engineering Journal, 95, 283–305, 2024.
- Moustafa M., Dynamical analysis of a fractional-order Rosenzweig-MacArthur model incorporating a prey refuge, Chaos Solitons & Fractals, 109, 1–13, 2018.
- Ravichandran C., Logeswari K., Khan A., Abdeljawad T., Gómez-Aguilar J.F., An epidemiological model for computer virus with Atangana-Baleanu fractional derivative, Results in Physics, 51, 106601, 2023.
- Nisar K.S., Farman M., Abdel-Aty M., Ravichandran C., A review of fractional-order models for plant epidemiology, Progress in Fractional Differentiation and Applications, 10(3), 489–521, 2024.
- Maji C., Basir F.A., Mukherjee D., Nisar K.S., Ravichandran C., COVID-19 propagation and the usefulness of awareness-based control measures: A mathematical model with delay, AIMS Mathematics, 7(7), 12091–12105, 2022.
- Ravichandran C., Trujillo J.J., Controllability of impulsive fractional functional integro-differential equations in banach spaces, Journal of Function Spaces, 2013(1), 812501, 2013.
- Baalousha H.M., Barth N., Ramasomanana F.H., Ahzi S., Groundwater recharge estimation and its spatial distribution in arid regions using GIS: A case study from Qatar karst aquifer, Modeling Earth Systems and Environment, 4(4), 1319–1329, 2018.
- Bear J., Verruijt A., Modeling Groundwater Flow and Pollution, Theory and Applications of Transport in Porous Media, D.Reidel Publishing Company, Holland, 1998.
- Brammer H., Ravenscroft P., Arsenic in groundwater: A threat to sustainable agriculture in South and South-east Asia, Environment International, 35(3), 647–654, 2009.
- Brenner S., Coxon G., Nicholas J.K.H., Freer J., Hartmann A., Process-based modelling to evaluate simulated groundwater levels and frequencies in a Chalk catchment in south-western England, Natural Hazards and Earth System Sciences, 18(2), 445–461, 2018.
- Brouyére S., Carabin G., Dassargues A., Climate change impacts on groundwater resources: modelled deficits in a chalky aquifer, Geer Basin, Belgium, Hydrogeology Journal, 12, 123–134, 2004.
- Burghes D.N., Borrie M.S., Modeling with Differential Equations, Ellis Horwood Series, John Wiley & Sons, New York, USA, 1981.
- Mandal S., Islam M.S., Biswas M.H.A., Modeling the potential impact of climate change on living beings near coastal area, Modeling Earth Systems and Environment, 7, 1783–1796, 2021.
- Wieland M., Arne W., Marheineke N., Weger R., Modeling and simulation of curved fibers in dry spinning scenarios, Results in Applied Mathematics, 3, 100013, 2019.
- Parvin M., The rate of decline and trend line analysis of groundwater underneath Dhaka and Gazipur City, Journal of Water Resource and Protection, 11(3), 348–356, 2019.
- Shukla J.B., Arora M.S., Verma M., Misra A.K., Takeuchi Y., The impact of sea level rise due to global warming on the coastal population dynamics: A modeling study, Earth Systems and Environment, 5, 909–926, 2021.
- Piccolroaz S., Zhu S., Ladwig R., CarreaL., Oliver S., Piotrowski A.P., Ptak M., Shinohara R., Sojka M., Woolway R.I., Zhu D.Z., Lake water temperature modeling in an era of climate change: Data sources, models, and future prospects, Reviews of Geophysics, 62(1), e2023RG000816, 2024.
- Ebrahimzadeh A., Hashemizadeh E., Mirabbasi R., A numerical solution of the mathematical models for water pollution by shifted Jacobi polynomials, TWMS Journal of Applied and Engineering Mathematics, 15(2), 298–308, 2025.
- Bhavithra H.A., Kiruthika N., Devi S.S., Sustainable Environmental Remediation: Avenues in Nano and Biotechnology, (Chapter: Mathematical modelling to control the spread of water contamination of uppanar river in Cuddalore district), 521–541, 2025.
- Garcia R.O., Silveira G.P., Numerical simulation of Saint-Venant equations with thermal energy dependency: Applications on global warming, Open Journal of Fluid Dynamics, 13(4), 191–205, 2023.
- Farman M., Shehzad A., Nisar K.S., Hincal E., Akgul A., Hassan A.M., Generalized Ulam-Hyers-Rassias stability and novel sustainable techniques for dynamical analysis of global warming impact on ecosystem, Scientific Reports, 13(1), 22441, 2023.
- Majeed S.J., Naji R.K., Thirthar A.A., The dynamics of an omnivore-predator-prey model with harvesting and two different nonlinear functional responses, AIP Conference Proceedings, 2096(020008), 2019.
DOI: https://doi.org/10.2478/ijmce-2026-0016 | Journal eISSN: 2956-7068
Language: English
Page range: 281 - 292
Submitted on: Dec 15, 2024
Accepted on: Jan 5, 2026
Published on: Jun 2, 2026
Published by: Harran University
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Related subjects:
© 2026 Kottakkaran Sooppy Nisar, Raghad Mohammed Al-Suliman, Mada Samhoud Al-Qahtani, published by Harran University
This work is licensed under the Creative Commons Attribution 4.0 License.