Exploring ocean pH dynamics via a mathematical modeling with the Caputo fractional derivative
- Title
- Exploring ocean pH dynamics via a mathematical modeling with the Caputo fractional derivative
- Creator
- Naik M.K.; Baishya C.; Premakumari R.N.; Veeresha P.
- Description
- Global warming is a complex problem with far-reaching global implications. One of its notable repercussions is the escalation of CO2 levels in the atmosphere, resulting in the phenomenon known as Ocean Acidification (OA). In this research, we have established a correlation between four key factors: marine species, human population, CO2 levels, and ocean pH. By formulating a Caputo fractional differential equation, we investigated the dynamics of these variables to evaluate the significance of this climatic phenomenon. The model analysis reveals that the rise in anthropogenic CO2 emissions causes a reduction in the oceans pH level and increases OA.This process, in turn, decreases the oceans ability to absorb CO2, making it less effective in mitigating climate change. In this study, it was demonstrated that elevated levels of CO2 result in a reduction in pH levels, which in turn causes a decrease in the population of marine species that play a critical role in numerous economic sectors such as tourism, aquaculture, and fisheries. Moreover, we conducted a comprehensive analysis of the influence exerted by the intrinsic growth rate of the human population. We examined various theoretical aspects, including the assessment of existence and uniqueness. Numerical simulations are carried out to illustrate the effect of key parameters on the dynamics of the system using the generalized AdamsBashforthMoulton method. The Author(s) 2024.
- Source
- Journal of Umm Al-Qura University for Applied Sciences
- Date
- 2024-01-01
- Publisher
- Springer
- Subject
- 26A33; 34A34; 70K20; 92D40; Caputo fractional derivative; Global warming; Marine ecosystems; Mathematical model; Ocean carbon sink; Ocean pH; Predictorcorrector method
- Coverage
- Naik M.K., Department of Studies and Research in Mathematics, Tumkur University, Karnataka, Tumkur, 572103, India; Baishya C., Department of Studies and Research in Mathematics, Tumkur University, Karnataka, Tumkur, 572103, India; Premakumari R.N., Department of Studies and Research in Mathematics, Tumkur University, Karnataka, Tumkur, 572103, India; Veeresha P., Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India
- Rights
- All Open Access; Gold Open Access
- Relation
- ISSN: 16588185
- Format
- Online
- Language
- English
- Type
- Review
Collection
Citation
Naik M.K.; Baishya C.; Premakumari R.N.; Veeresha P., “Exploring ocean pH dynamics via a mathematical modeling with the Caputo fractional derivative,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 25, 2025, https://archives.christuniversity.in/items/show/21347.