Harvesting of a prey-predator fishery in the presence of toxicity. (English) Zbl 1185.91120

Summary: We discuss the bioeconomic harvesting of a prey-predator fishery in which both the species are infected by some toxicants released by some other species. Here both the species are harvested where we use the usual catch-per-unit-effort hypothesis. The dynamical behaviour of the exploited system is examined. The possibility of existence of a bionomic equilibrium is considered. The optimal harvesting policy is studied by using Pontryagin’s maximal principle. Some numerical examples and the corresponding solution curves are studied to illustrate the results of the model. Finally, the existence of limit cycle is discussed.


91B76 Environmental economics (natural resource models, harvesting, pollution, etc.)
92D25 Population dynamics (general)
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