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Maximization of revenue in fishery model with Cobb-Douglas type of production function

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Abstract

The paper considers the effects of congestion and gear saturation in the harvesting of fishery model given by logistic type of differential equation. It applies continuous dynamic control programming technique (Bellman in Dynamic programming, Princeton University Press, Princeton, 1957; Bertsekas, Dynamic programming—deterministic and stochastic model, Princeton Hall, Englewood Cliffs, 1987) to maximize the net revenue obtained by nonlinear production function of Cobb-Douglas type.

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References

  1. Bhattacharya D.K., Begum S.: A note on bionomic equilibrium of two species system—I. Math. Biosci. 135, 111–127 (1996)

    Article  MATH  Google Scholar 

  2. Bellman R.: Dynamic Programming. Princeton University Press, Princeton (1957)

    MATH  Google Scholar 

  3. Bertsekas D.P.: Dynamic Programming—Deterministic and Stochastic Models. Princeton Hall, Englewood Cliffs (1987)

    MATH  Google Scholar 

  4. Chaudhury K.S.: A bionomic model of harvesting a multi species fishery. Ecol. Model. 32, 267–279 (1986)

    Article  Google Scholar 

  5. Clerk, C.W. Mathematical bio-economics—the optimal management of renewable resources. Wiley, New York (1976, 1990)

  6. Clerk C.W.: Bionomic Modeling and Fisheries Management. Wiley, New York (1985)

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Authors and Affiliations

  1. School of Bioscience and Engineering, Jadavpur University, Kolkata, 700032, India

    D. K. Bhattacharya

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  1. D. K. Bhattacharya
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Correspondence to D. K. Bhattacharya.

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Bhattacharya, D.K. Maximization of revenue in fishery model with Cobb-Douglas type of production function. Optim Lett 6, 331–338 (2012). https://doi.org/10.1007/s11590-010-0260-4

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  • DOI: https://doi.org/10.1007/s11590-010-0260-4

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