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Optimal Management of Forestry Biomass Affected with Toxicant

Author

Listed:
  • Prayga Mishra

    (Department of Mathematics, Pt. Deen Dayal Upadhyay Government Girl’s P.G. College, Rajaji Puram, Lucknow-226017, U. P. India)

  • Vimlesh Singh

    (Department of Mathematics and Statistical Sciences, Shri Ramswaroop Memorial University, Dewa Road-Lucknow, Barabanki-225003, U.P., India)

  • Rajeev Kumar Singh

    (Department of Mathematics, Pratap Bahadur Post Graduate College, Pratapgarh City-2300002, India)

  • Akhilesh Kumari

    (Department of Physics, Pt. DeenDayal Upadhyay Government Girl’s P.G. College, Rajaji Puram, Lucknow-226017, U. P. India)

Abstract

The optimum harvest strategy for forestry biomass influenced by a toxicant is suggested and studied by using a non-linear mathematical model. The nature and uniqueness of equilibrium, conditions for existence of their local and global equilibrium points, are all established. Both equilibrium levels of biomass and total sustainable yield decrease as toxicant concentrations rise, as per the analysis. The optimum harvest approach is frequently discussed using Pontryagin’s Maximum principle. Numerical analysis is implemented to validate the mathematical findings.

Suggested Citation

  • Prayga Mishra & Vimlesh Singh & Rajeev Kumar Singh & Akhilesh Kumari, 2021. "Optimal Management of Forestry Biomass Affected with Toxicant," International Journal of Research and Scientific Innovation, International Journal of Research and Scientific Innovation (IJRSI), vol. 8(8), pages 181-189, August.
    • Handle: RePEc:bjc:journl:v:8:y:2022:i:8:p:181-189
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    References listed on IDEAS

    as
    1. Gakkhar, Sunita & Sahani, Saroj Kumar, 2009. "A model for delayed effect of toxicant on resource-biomass system," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 912-922.
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