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Computational Ecology and Software, 2025, 15(1): 15-29
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Article

Climate change impact of greenhouse gases: A mathematical modeling approach

Ashish Mor1, Kalyan Das1, M. N. Srinivas2
1Department of Interdisciplinary Sciences, National Institute of Food Technology Entrepreneurship and Management, Kundli, Haryana, India
2Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, India

Received 30 August 2024;Accepted 8 October 2024;Published online 29 October 2024;Published 1 March 2025
IAEES

Abstract
A mathematical model is (newly proposed) to be defined the interconnection of the four state variables greenhouse gases (GHGs), atmospheric temperature, phytoplankton population and fishery population. Basically, it is a non-linear differential equation mathematical model. It contains environmental parameters related to climate change, caused by quick increment in amount of GHGs, which caused the disturbances in the marine environments that affects marine ecological system especially fisheries and phytoplankton population. The purpose of the study is to explain the current situation of the effect of climate change to marine ecosystem. In the mathematical modeling part, equilibrium analysis, local stability and numerical simulations have been done. A novel model for environment management using the time variant parameters is validated through analysis, and numerical simulations are used to test the study's analytical findings.

Keywords greenhouse gases;mathematical modeling;computational simulations;global warming.


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