Prawn is industrially one of the main marine assets on the planet. This paper focuses on the budgetary, natural and financial qualities of the prawn fishery in a specific zone. The work flow of the article depicts the subjective investigation of ideal gathering of prawn fishery in a bounded region of a dynamical framework. The entire dynamical framework is characterized by the arrangement of first order differential equations. Examination of the boundedness of the framework is deliberated. The conditions for local and global steadiness are indomitable. Finally, an ideal collecting strategy is conversed by applying Pontryagin’s maximal principle. It also addresses the steadiness of framework through mathematical reproduction utilizing MATLAB.

fishery, boundedness, stability, optimal harvesting, sustainability.

Received: January 26, 2022; Revised: March 5, 2022; Accepted: March 8, 2022; Published: March 9, 2022

How to cite this article: Kalyan Das, Shib Sankar Sana and M. N. Srinivas, Modeling of a qualitative and sustainability analysis of prawn fishery in a bounded region: a mathematical approach, Far East Journal of Applied Mathematics 112 (2022), 65-88. DOI: 10.17654/0972096022005

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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