A bioeconomic modeling of two-prey and one-predator fishery model with optimal harvesting policy through hybridization approach

2014 ◽  
Vol 242 ◽  
pp. 748-763 ◽  
Author(s):  
D. Pal ◽  
G.S. Mahapatra
Keyword(s):  
Optimal Harvesting ◽  
Bioeconomic Modeling ◽  
Optimal Harvesting Policy ◽  
Fishery Model

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.

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.

Harvesting Analysis of a Predator-Prey System with Functional Response

2013 ◽  
Vol 805-806 ◽  
pp. 1957-1961
Author(s):  
Ting Wu
Keyword(s):  
Numerical Simulation ◽  
Equilibrium Point ◽  
Functional Response ◽  
Sufficient Conditions ◽  
Optimal Harvesting ◽  
Predator Prey ◽  
Optimal Harvesting Policy ◽  
Prey System ◽  
The Stability ◽  
Maximal Principle

In this paper, a predator-prey system with functional response is studied,and a set of sufficient conditions are obtained for the stability of equilibrium point of the system. Moreover, optimal harvesting policy is obtained by using the maximal principle,and numerical simulation is applied to illustrate the correctness.

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