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A Study on the Application of Optimal Control in a Bioeconomic System

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Abstract

Sustainable forest management is one of the warming issues in the present century. In this manuscript, we have employed the model of control theory to control the consequence of toxicity and illegal logging of mature trees in the ecosystem of Sundarbans, the largest mangrove forest in the world. In this investigation, we have momentarily mentioned some of the fields in which these challenges are present. These fields especially consist of sustainable forestry management of ecosystem. We have reflected on the modified Leslie-Gower response function to set up as the alternative resource for industries when forestry resources are divested. The boundedness, persistence, equilibria and stability are examined.Our main aim is to investigate the spans and applications of control theory to control the effect of toxicity and illegal logging.

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Data Availability Statement

The data used to support the findings of this study are not real, they are simulated using MaTLAB software.

Notes

  1. In normal case \(\lambda =1\), then the values of \(\lambda\) are strictly positive, and in abnormal case, \(\lambda =0\).

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Acknowledgements

The first author gratefully acknowledges the financial support provided by the University Grant Commission, Bangladesh (UGC/1,157/ M.Phil and PhD/2016/5343).

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Authors and Affiliations

  1. Department of Mathematics, Jahangirnagar University, Dhaka, 1342, Bangladesh

    M. Haider Ali Biswas

  2. Mathematics Discipline, Science Engineering and Technology School, Khulna University, Khulna, 9208, Bangladesh

    M. Nazmul Hasan & M. Sharif Uddin

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  1. M. Nazmul Hasan
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  3. M. Haider Ali Biswas
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Correspondence to M. Nazmul Hasan.

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Hasan, M.N., Uddin, M.S. & Biswas, M.H.A. A Study on the Application of Optimal Control in a Bioeconomic System. Differ Equ Dyn Syst (2022). https://doi.org/10.1007/s12591-022-00589-9

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