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Optimal pricing strategy for livestock of fishery and poultry

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  • Sana, Shib Sankar

Abstract

The paper deals with a joint project of fishery and poultry while growth rates of both the species depend on the available nutrients and environmental carrying capacities of biomasses. The demand rates of both the species in the market vary with the selling prices and on-hand stock of the species. The existence of steady states and its stability (local and global) analysis are studied in details. The relevant profit of the project is maximized with the help of Pontryagin's Maximum Principle. The model is justified by a suitable numerical example.

Suggested Citation

  • Sana, Shib Sankar, 2012. "Optimal pricing strategy for livestock of fishery and poultry," Economic Modelling, Elsevier, vol. 29(4), pages 1024-1034.
  • Handle: RePEc:eee:ecmode:v:29:y:2012:i:4:p:1024-1034
    DOI: 10.1016/j.econmod.2012.03.010
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    References listed on IDEAS

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    1. Arcelus, F. J. & Shah, Nita H. & Srinivasan, G., 2003. "Retailer's pricing, credit and inventory policies for deteriorating items in response to temporary price/credit incentives," International Journal of Production Economics, Elsevier, vol. 81(1), pages 153-162, January.
    2. Jin, Di & Hoagland, Porter & Morin Dalton, Tracey, 2003. "Linking economic and ecological models for a marine ecosystem," Ecological Economics, Elsevier, vol. 46(3), pages 367-385, October.
    3. Papachristos, S. & Skouri, K., 2003. "An inventory model with deteriorating items, quantity discount, pricing and time-dependent partial backlogging," International Journal of Production Economics, Elsevier, vol. 83(3), pages 247-256, March.
    4. Goyal, Suresh Kumar & Cardenas-Barron, Leopoldo Eduardo, 2002. "Note on: Economic production quantity model for items with imperfect quality - a practical approach," International Journal of Production Economics, Elsevier, vol. 77(1), pages 85-87, May.
    5. P. L. Abad, 1996. "Optimal Pricing and Lot-Sizing Under Conditions of Perishability and Partial Backordering," Management Science, INFORMS, vol. 42(8), pages 1093-1104, August.
    6. Ragozin, David L. & Brown, Gardner Jr., 1985. "Harvest policies and nonmarket valuation in a predator -- prey system," Journal of Environmental Economics and Management, Elsevier, vol. 12(2), pages 155-168, June.
    7. Sana, Shib Sankar, 2010. "A production-inventory model in an imperfect production process," European Journal of Operational Research, Elsevier, vol. 200(2), pages 451-464, January.
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