Harvesting and conservation in a predator-prey system
Optimal harvesting of prey in a predator–prey ecosystem is studied under the condition that the existence of the predator has value. Predators (birds) and humans (fishers) compete for prey (shellfish). The behavior of the system is studied and conditions for optimal control are deduced. Various optimal harvest rates are identified for particular ecosystem and economic parameters. We discuss optimal harvest rates, focusing on system characteristics that lead to the survival of birds. The approach path towards an optimal regime is shown qualitatively for different types of optimal harvest regimes. This discussion paper has resulted in a publication in the Journal of Economic Dynamics and Control , 2005, 29(6), 1097-1120.
(This abstract was borrowed from another version of this item.)
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- Hannesson, Rognvaldur, 1983. "Optimal harvesting of ecologically interdependent fish species," Journal of Environmental Economics and Management, Elsevier, vol. 10(4), pages 329-345, December.
- Willi Semmler & Malte Sieveking, 1994. "On the optimal exploitation of interacting resources," Journal of Economics, Springer, vol. 59(1), pages 23-49, February.
- Wolfgang Ströbele & Holger Wacker, 1995. "The economics of harvesting predator-prey systems," Journal of Economics, Springer, vol. 61(1), pages 65-81, February.
- Benhabib, Jess & Nishimura, Kazuo, 1979. "The hopf bifurcation and the existence and stability of closed orbits in multisector models of optimal economic growth," Journal of Economic Theory, Elsevier, vol. 21(3), pages 421-444, December.
- Olson, Lars J. & Roy, Santanu, 1994.
"On Conservation of Renewable Resources with Stock-Dependent Return and Non-Concave Production,"
197800, University of Maryland, Department of Agricultural and Resource Economics.
- Olson, Lars J. & Roy, Santanu, 1996. "On Conservation of Renewable Resources with Stock-Dependent Return and Nonconcave Production," Journal of Economic Theory, Elsevier, vol. 70(1), pages 133-157, July.
- Tu, Pierre N. V. & Wilman, Elizabeth A., 1992. "A generalized predator- prey model: Uncertainty and management," Journal of Environmental Economics and Management, Elsevier, vol. 23(2), pages 123-138, September.
- Wirl Franz, 1995. "The Cyclical Exploitation of Renewable Resource Stocks May Be Optimal," Journal of Environmental Economics and Management, Elsevier, vol. 29(2), pages 252-261, September.
- Engelbert Dockner & Gustav Feichtinger, 1991. "On the optimality of limit cycles in dynamic economic systems," Journal of Economics, Springer, vol. 53(1), pages 31-50, February.
When requesting a correction, please mention this item's handle: RePEc:eee:dyncon:v:29:y:2005:i:6:p:1097-1120. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.