Management of a Prey-Predator Fishery Based on Continuous Fishing Effort

Kar, Tapan Kumar; Pahari, U. K.; Chaudhuri, Kripasindhu

doi:10.1142/s0218339004001166

Cited by 12 publications

(5 citation statements)

References 11 publications

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“…For the above values of the parameters, the two bionomic equilibria exist at the solution of the Equations (12) and (13). Substituting these values of the parameters Equations (12) and 13 The solution curve of the bionomic equilibrium for the prey-predator system is shown in Figure 4.…”

Section: Bionomic Equilibriummentioning

confidence: 99%

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Bioeconomic harvesting of a prey–predator fishery

Das

Mukherjee

Chaudhuri³

2009

Journal of Biological Dynamics

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This paper deals with the problem of non-selective harvesting of a prey-predator system by using a reasonable catch-rate function instead of usual catch-per-unit-efforthypothesis. Here both the prey and the predator species obey the law of logistic growth. We have taken the predator functional response to prey density in such a form that each predator's functional response to the prey density approaches a constant as the prey population increases. Boundedness of the exploited system is examined. The existence of its steady states and their stability (local and global) are studied using Eigenvalue analysis. The existence of bionomic equilibria has been illustrated using a numerical example. The problem of determining the optimal harvesting policy is then solved by using Pontryagin's maximum principle.

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Section: Bionomic Equilibriummentioning

confidence: 99%

“…Multi-species harvesting models are studied in detail by Chaudhuri [3,4], Mesterton-Gibbons [14], Kar and Chaudhuri [11,12], etc. Non-selective harvesting model of a prey-predator fishery is studied in detail by Chaudhuri and Saha Ray [5], Kar et al [13], etc.…”

Section: Introductionmentioning

confidence: 99%

Bioeconomic harvesting of a prey–predator fishery

Das

Mukherjee

Chaudhuri³

2009

Journal of Biological Dynamics

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“…Multispecies harvesting models are studied in detail by Chaudhuri [30,31], Mesterton-Gibbons [32], Kar and Chaudhuri [33,34], etc. Nonselective harvesting model of a preypredator fishery is studied in detail by Chaudhuri and Ray [35], Kar et al [36], etc.…”

Section: Introductionmentioning

confidence: 99%

Michaelis-Menten-Type Prey Harvesting in Discrete Modified Leslie-Gower Predator-Prey Model

Khan

Abbas

Bonyah³

et al. 2022

Journal of Function Spaces

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A discrete-time Michaelis-Menten-type prey harvesting is discussed in this paper, in the modified Leslie-Gower predator-prey model. Detailed analysis of the topology of nonnegative interior fixed points is given, including their existence and stability dynamics. Also, the conditions for the existence of flip and Neimark-Sacker bifurcations are derived by using the center manifold theorem and bifurcation theory. The numerical simulations are provided, using a computer package, to illustrate the consistency of theoretical results.

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“…In other condition, the ecosystem get problems from effect of toxicants that come from industries, household waste etc. leading the effect for the freshwater ecosystems Hallam [3][4][5][6][7][8][9] . The ecological effects of toxicants released by the marine biota was studied by Tapasi [10].…”

Section: Introductionmentioning

confidence: 99%

Analysis of a Prey-Predator Fishing Model for Harvesting with The Limited Effect of Density and Toxicity

2018

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We proposed a model of prey-predator fishing by considering proportion of prey density and toxicity in ecosystem. The model is analysed to study about biological equilibrium, bionomic equilibrium and its stability. The aim of the model is to determine the optimal sustainable harvesting for each species. The optimal harvesting is resulted from Pontryagin's maximal principle. The global stability of coexistence equilibrium is analyzed from Lyapunov function. The effect of toxicity leads to the decreasing of sustainable harvesting.

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Management of a Prey-Predator Fishery Based on Continuous Fishing Effort

Cited by 12 publications

References 11 publications

Bioeconomic harvesting of a prey–predator fishery

Bioeconomic harvesting of a prey–predator fishery

Michaelis-Menten-Type Prey Harvesting in Discrete Modified Leslie-Gower Predator-Prey Model

Analysis of a Prey-Predator Fishing Model for Harvesting with The Limited Effect of Density and Toxicity

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