A RESOURCE DEPENDENT FISHERY MODEL WITH OPTIMAL HARVESTING POLICY

2002 ◽  
Vol 10 (01) ◽  
pp. 1-13 ◽  
Author(s):  
BALRAM DUBEY ◽  
PEEYUSH CHANDRA ◽  
PRAWAL SINHA
Keyword(s):  
Single Species ◽  
Fish Population ◽  
Maximum Sustainable Yield ◽  
Equilibrium Density ◽  
Future Price ◽  
Optimal Harvesting ◽  
Biomass Density ◽  
Optimal Harvesting Policy ◽  
Yield Increase ◽  
Fishery Model

A dynamic model for a single-species fishery, which depends partially on a logistically growing resource with functional response, is proposed using taxation as control instrument to protect fish population from overexploitation. The analysis of the model shows that both the equilibrium density of fish population as well as the maximum sustainable yield increase as resource biomass density increases. The optimal harvesting policy is also discussed with the help of Pontryagin's Maximum Principle. It is found that for the optimum equilibrium value of resource biomass density, the total user's cost of harvest per unit effort must be equal to the discounted value of future price at the steady state.

OPTIMAL IMPULSIVE HARVESTING OF A SINGLE-SPECIES WITH GOMPERTZ LAW OF GROWTH

2006 ◽  
Vol 14 (02) ◽  
pp. 303-314 ◽  
Author(s):  
YUJUAN ZHANG ◽  
ZHILONG XIU ◽  
LANSUN CHEN
Keyword(s):  
Global Attractivity ◽  
Population Level ◽  
Single Species ◽  
Maximum Sustainable Yield ◽  
Discrete Dynamical Systems ◽  
Optimal Harvesting ◽  
Sustainable Yield ◽  
Gompertz Law ◽  
Optimal Population ◽  
Impulsive Harvesting

In this paper we investigate the optimal harvesting problems of a single species with Gompertz law of growth. Based on continuous harvesting models, we propose impulsive harvesting models with constant harvest or proportional harvest. By using the discrete dynamical systems determined by the stroboscopic map, we discuss existence, stability and global attractivity of positive periodic solutions, and obtain the maximum sustainable yield and the corresponding optimal population level. At last, we compare the maximum sustainable yield of impulsive harvest with that of continuous harvest, and point out that proportional harvest is superior to constant harvest.

scholarly journals Analysis of a Fishery Model with two competing prey species in the presence of a predator species for Optimal Harvesting

2018 ◽  
Vol 31 ◽  
pp. 08008 ◽  
Author(s):  
Sutimin ◽  
Siti Khabibah ◽  
Dita Anis Munawwaroh
Keyword(s):  
Ecological Model ◽  
Dynamical Behavior ◽  
Fish Population ◽  
Optimal Harvesting ◽  
Globally Asymptotically Stable ◽  
Predator Species ◽  
Optimal Harvest ◽  
The Stability ◽  
Fishery Model ◽  
Maximal Principle

A harvesting fishery model is proposed to analyze the effects of the presence of red devil fish population, as a predator in an ecosystem. In this paper, we consider an ecological model of three species by taking into account two competing species and presence of a predator (red devil), the third species, which incorporates the harvesting efforts of each fish species. The stability of the dynamical system is discussed and the existence of biological and bionomic equilibrium is examined. The optimal harvest policy is studied and the solution is derived in the equilibrium case applying Pontryagin’s maximal principle. The simulation results is presented to simulate the dynamical behavior of the model and show that the optimal equilibrium solution is globally asymptotically stable. The results show that the optimal harvesting effort is obtained regarding to bionomic and biological equilibrium.

MODELING AND ANALYSIS OF A HARVESTING FISHERY MODEL IN A TWO-PATCH ENVIRONMENT

2008 ◽  
Vol 01 (03) ◽  
pp. 287-298 ◽  
Author(s):  
LIMING CAI ◽  
XUEZHI LI ◽  
XINYU SONG
Keyword(s):  
Maximum Principle ◽  
Global Stability ◽  
Local Stability ◽  
Pontryagin’S Maximum Principle ◽  
Steady States ◽  
The Other ◽  
Optimal Harvesting ◽  
Modeling And Analysis ◽  
Optimal Harvesting Policy ◽  
Fishery Model

In this paper, a harvesting fishery model in a two-patch environment: one free-fishing zone and the other one reserved zone where fishing is strictly prohibited, is proposed and analyzed. The existence of possible biological steady states, along with their local stability, instability and global stability is discussed. The existence of bioeconomic equilibrium is derived. An optimal harvesting policy is also given by applying pontryagin's maximum principle.

scholarly journals Sustainable exploitation of temperate fish stocks

2009 ◽  
Vol 6 (1) ◽  
pp. 124-127 ◽  
Author(s):  
Henrik Sparholt ◽  
Robin M. Cook
Keyword(s):  
Species Interactions ◽  
Fishery Management ◽  
Regional Scale ◽  
Single Species ◽  
Fishing Effort ◽  
Theoretical Concept ◽  
Maximum Sustainable Yield ◽  
Production Model ◽  
The Status ◽  
Long Time

The theory of maximum sustainable yield (MSY) underpins many fishery management regimes and is applied principally as a single species concept. Using a simple dynamic biomass production model we show that MSY can be identified from a long time series of multi-stock data at a regional scale in the presence of species interactions and environmental change. It suggests that MSY is robust and calculable in a multispecies environment, offering a realistic reference point for fishery management. Furthermore, the demonstration of the existence of MSY shows that it is more than a purely theoretical concept. There has been an improvement in the status of stocks in the Northeast Atlantic, but our analysis suggests further reductions in fishing effort would improve long-term yields.

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