Optimal Management of Forestry Biomass Affected with Toxicant

Prayga Mishra, Vimlesh Singh, Rajeev Kumar Singh and Akhilesh Kumari
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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

International Journal of Research and Scientific Innovation, 2021, vol. 8, issue 8, 181-189

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:bjc:journl:v:8:y:2022:i:8:p:181-189

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