Conservation of a fishery through optimal taxation: a dynamic reaction model

2005 ◽  
Vol 10 (2) ◽  
pp. 121-131 ◽  
Author(s):  
Tapan Kumar Kar
Keyword(s):  
Optimal Taxation ◽  
Reaction Model ◽  
Dynamic Reaction

CAPITAL THEORETIC ANALYSIS OF A HOLLING–TANNER-TYPE PREY–PREDATOR FISHERY WITH TAXATION AS A CONTROL INSTRUMENT

2009 ◽  
Vol 02 (02) ◽  
pp. 151-165
Author(s):  
TAPASI DAS ◽  
R. N. MUKHERJEE ◽  
K. S. CHAUDHURI
Keyword(s):  
Sensitivity Analysis ◽  
Global Stability ◽  
Reaction Model ◽  
Fishing Effort ◽  
Dynamic Interaction ◽  
Optimal Harvesting ◽  
Theoretic Analysis ◽  
Dynamic Reaction ◽  
Dynamic Variable ◽  
Control Instrument

The level of fishing effort expands or contracts in a dynamic reaction model of a fishery accordingly as the net economic revenue (i.e. perceived rent) to the fishermen is positive or negative. A dynamic reaction model reflects this dynamic interaction between the perceived rent and the effort in a fishery. The combined harvesting of a prey–predator fishery is assumed to be regulated by an external authority by imposing a tax per unit biomass of both the species. The fishing effort is taken to be a dynamic variable of time, which is proportional to the instantaneous capital invested in the fishery. The steady states of the system along with their local as well as global stability are considered. The optimal harvesting policy with the tax as a control instrument is discussed. The results are numerically discussed and graphically illustrated. Sensitivity analysis of the parameters is carried out. The paper ends with concluding remarks.

REGULATION OF A PREY–PREDATOR FISHERY INCORPORATING PREY REFUGE BY TAXATION: A DYNAMIC REACTION MODEL

2011 ◽  
Vol 19 (03) ◽  
pp. 417-445 ◽  
Author(s):  
KUNAL CHAKRABORTY ◽  
MILON CHAKRABORTY ◽  
T. K. KAR
Keyword(s):  
Optimal Taxation ◽  
Social Benefit ◽  
Reaction Model ◽  
Fishing Effort ◽  
Model System ◽  
Prey Refuge ◽  
Predator Species ◽  
Taxation Policy ◽  
Proposed Model ◽  
Fishery Model

This paper, describes a prey–predator fishery model incorporating prey refuge. The proposed model reflecting the dynamic interaction between the net economic revenue and the fishing effort used to harvest the prey species in the presence of predation and a suitable tax. The steady states of the system are determined and the dynamic behavior of the model system is discussed. The occurrence of Hopf bifurcation of the proposed model system is examined through considering density-dependent mortality for the predator as bifurcation parameter. The optimal taxation policy is formulated and solved with the help of Pontryagin's maximal principle. The objective of the paper is to maximize the monetary social benefit as well as prevent the predator species from extinction, keeping the ecological balance. Results are illustrated with the help of numerical examples.

scholarly journals A Dynamic Model for Fishery Resource with Reserve Area and Taxation

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Hai-Feng Huo ◽  
Hui-Min Jiang ◽  
Xin-You Meng
Keyword(s):  
Fish Population ◽  
Reaction Model ◽  
Dynamic Reaction ◽  
Fishery Resource ◽  
Control Instrument ◽  
Optimal Harvest ◽  
Over Exploitation ◽  
Theoretical Results ◽  
Resource System ◽  
Optimal Harvest Policy

The present paper deals with a dynamic reaction model of a fishery. The dynamics of a fishery resource system in an aquatic environment consists of two zones: a free fishing zone and a reserve zone. To protect fish population from over exploitation, a control instrument tax is imposed. The existence of its steady states and their stability are studied. The optimal harvest policy is discussed next with the help of Pontryagin's maximum principle. Our theoretical results are confirmed by numerical simulation.

scholarly journals A dynamic reaction model of an inshore-offshore fishery with taxation as a control instrument

2014 ◽  
Vol 10 (4) ◽  
pp. 13-20
Author(s):  
Jayjayanti Ray ◽  
◽  
Tarun Pradhan
Keyword(s):  
Reaction Model ◽  
Dynamic Reaction ◽  
Control Instrument

REGULATION OF A PREY-PREDATOR FISHERY BY TAXATION: A DYNAMIC REACTION MODEL

2003 ◽  
Vol 11 (02) ◽  
pp. 173-187 ◽  
Author(s):  
T. K. KAR ◽  
K. S. CHAUDHURI
Keyword(s):  
Dynamical System ◽  
Prey Species ◽  
Social Benefit ◽  
Reaction Model ◽  
Fishing Effort ◽  
Dynamic Interaction ◽  
Theoretic Approach ◽  
Dynamic Reaction ◽  
Growth Equations ◽  
Gross Rate

In a fully dynamic model of an open-access fishery, the level of fishery effort expands or contracts according as the net economic revenue (i.e., perceived rent) to the fisherman is positive or negative. A model reflecting this dynamic interaction between the perceived rent and the effort in a fishery, is called a dynamic reaction model. In this paper, we study a dynamic reaction model, in which the prey species is subjected to harvesting in the presence of a predator and a tax. It is also assumed that the gross rate of investment of capital in the fishery is proportional to the perceived rent. With this capital theoretic approach, the dynamical system consisting of the growth equations of the two species and also of the fishing effort is formulated. The steady state is determined and its stability is discussed. The object is to maximize the monetary social benefit as well as prevent the predator from extinction, keeping the ecological balance.

Free Trade versus Protection : Static and Dynamic Aspects

1985 ◽  
Vol 24 (1) ◽  
pp. 39-50
Author(s):  
Gunnar Flфystad
Keyword(s):  
Developing Countries ◽  
Foreign Trade ◽  
Trade Policy ◽  
Empirical Evidence ◽  
Free Trade ◽  
Optimal Taxation ◽  
Foreign Trade Policy ◽  
Taxation Policy

This paper analyses whether the developing countries are pursuing an optimal foreign trade policy, given the theoretical and empirical evidence we have. The paper concludes that constraints in imposing other taxes than tariffs in many developing countries may justify having tariffs as part of an optimal taxation policy.

Optimal Taxation

2011 ◽  
Author(s):  
Vijaya Krushna Varma
Keyword(s):  
Optimal Taxation
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