Abstract

Citation

Researchers should cite this work as follows:

• Das, T. (2023). 2009-Das-EtAl-Bioeconomic harvesting of a pre-predator fishery. SIMIODE, QUBES Educational Resources. doi:10.25334/PG7F-5Z33

  BibTex | EndNote

Article Context

Description

Das, Tapasi, R. N. Mukherjee, and K. S. Chaurhur. 2009. Bioeconomic harvesting of a pre-predator fishery. Journal of Biological Dynamics. 3(5): 447-462.

See https://pubmed.ncbi.nlm.nih.gov/22880894/ . Accessed 27 March 2023.

Abstract: This paper deals with the problem of non-selective harvesting of a prey–predator system by using a reasonable catch-rate function instead of usual catch-per-unit-effort hypothesis. Here both the prey and the predator species obey the law of logistic growth. We have taken the predator functional response to prey density in such a form that each predator’s functional response to the prey density approaches a constant as the prey population increases. Boundedness of the exploited system is examined. The existence of its steady states and their stability (local and global) are studied using Eigenvalue analysis. The existence of bionomic equilibria has been illustrated using a numerical example. The problem of determining the optimal harvesting policy is then solved by using Pontryagin’s maximum principle.

Keywords: bioeconomic, bionomic equilibrium, biotechnical productivity, catch-rate function, effort, Harvesting, optimal equilibrium, prey–predator, predator-prey, stability