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

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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Community’s Perspectives towards Marine Protected Area in Perhentian Marine Park, Malaysia

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Open Journal of Marine Science 2014年第2期4卷 51-60页

作者： gazi Md. nurul Islam Tai Shzee Yew Kusairi Mohd Noh Aswani Farhana Mohd Noh Faculty of Economics and Management Universiti Putra Malaysia Serdang Malaysia Institute of Agricultural and Food Policy Studies Universiti Putra Malaysia Serdang Malaysia

The Perhentian Islands located in the East coast of Peninsular Malaysia. They are well-known for their rich coral reef ecosystems. Marine resources of Malaysia have been overexploited in general due to overfishing and other development activities. Such no-take marine protected areas (MPAs) were established in Malaysia including Perhentian Islands Marine Park to enable overexploited marine resources to recover and to conserve coral reef ecosystems. This paper examines the current level of activities causing damages to the coral reef habitats in the Perhentian MPA. This study used paired comparison method to elicit the perception of the local stakeholders on the activities harmful to the marine habitats. The results of the analysis showed that various respondent groups had similar preference rankings on the harmful activities: littering, discarding fishing equipments, excess fishing and too many divers that cause damage to the habitats in the MPA area. The findings suggest that policy makers should take cognizance of the local stakeholders’ concern in planning and designing of marine protected areas in Malaysia.

关键词： Marine Protected Areas Tourism Overfishing Preference Ranking Peninsular Malaysia

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