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Interplay between reproduction and age selective harvesting:A case study of Hilsa(Tenualosa ilisha)fish at Sundarban estuary of northern Bay of Bengal,India

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International Journal of Biomathematics 2019年第2期12卷 239-260页

作者： Debaldev Jana Sachinandan Dutta G.P.Samanta Department of Mathematics&SRM Research Institute SRM Institute of Science and Technology Kattankulathur 603 203 Tamil NaduIndia Aquatic Bioresource Research Laboratory Department of Zoology University of Calcutta 35 Ballygunge Circular RoadKolkata 700 019India Department of Mathematics Indian Institute of Engineering Science and Technology Shibpur Howrah 711103India

New offspring due to sexual reproduction is not an instantaneous process from its birth,it takes time to be sexually *** the other hand,harvesting of commercially profitable fish population before the perfect size or weight is reached is not only a commercial loss but also risks the extinction of the ***,we discuss the issue of Ganges-Brahmaputra-Meghna basin,northern Bay of Bengal for the age-selective harvesting of Hilsa shad(Tenualosa ilisha)which lays eggs after its sexual *** of hilsa before its sexual maturation risks its extinction and due to lamer body weight,it is not a commercially profitable *** is a reality of Sundarban estuary for hilsa fish harvesting,therefore,biologically and economically both India and Bangladesh are facing several *** data of Frasergunje Fishing Harbor shows a clear picture as the supporting document of this mathematical problem.

关键词： Maturation delay age selective harvesting extinction risk MSY bionomic equilibrium optimal harvesting

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Prey Predator Fishery Model with Stage Structure in Two Patchy Marine Aquatic Environment

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Applied Mathematics 2011年第11期2卷 1405-1416页

作者： Mellachervu Naga Srinivas Mantripragada Ananata Satya Srinivas Kalyan Das Nurul Huda Gazi 不详

In this paper, we propose and analyze a mathematical model to study the dynamics of a fishery resource system with stage structure in an aquatic environment that consists of two zones namely unreserved zone (fishing permitted) and reserved zone (fishing is strictly prohibited). In this model we introduce a stage structure in which predators are split into two kinds as immature predators and mature predators. It is assumed that immature predators cannot catch the prey and their foods are given by their parents (mature predators). It is also assumed that the fishing of immature predators prohibited in the unreserved zone and predator species are not allowed to enter inside the reserved zone. The local and global stability analysis has been specified. Biological and bionomical equilibriums of the system are derived. Mathematical formulation of the optimal harvesting policy is given and its solution is derived in the equilibrium case by using Pontryagin’s maximum principle.

关键词： Prey Predator Stage Structure Local and Global Stability bionomic Equilibrium Optimal Harvesting Pontryagin’s Maximum Principle

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