Mathematical Model Solves Fractional Burgers and Plankton-Oxygen Dynamics Under Climate Change

Researchers have developed a novel quadrature solution to address fractional coupled Burgers and plankton-oxygen dynamics, particularly in the context of climate change. This mathematical approach aims to provide a more accurate understanding of complex environmental systems. The study focuses on modeling the interplay between fluid dynamics, as represented by the Burgers equation, and biological processes involving plankton and oxygen levels. These interactions are crucial for assessing the health and stability of aquatic ecosystems. The fractional calculus aspect allows for a more nuanced representation of memory effects and non-local interactions within these systems, which are often oversimplified by traditional integer-order models. By applying the quadrature method, the team seeks to overcome computational challenges and derive analytical or semi-analytical solutions. This advanced modeling technique is expected to enhance predictions of how climate change impacts marine environments, including changes in dissolved oxygen concentrations and plankton population dynamics. The findings could inform more effective conservation and management strategies for vulnerable aquatic ecosystems facing unprecedented environmental shifts.