ERIC Number: EJ753902
Record Type: Journal
Publication Date: 2006-Jul-15
Pages: 13
Abstractor: Author
ISBN: N/A
ISSN: ISSN-0020-739X
EISSN: N/A
Controllability and Optimal Harvesting of a Prey-Predator Model Incorporating a Prey Refuge
Kar, Tapan Kumar
International Journal of Mathematical Education in Science & Technology, v37 n5 p559-571 Jul 2006
This paper deals with a prey-predator model incorporating a prey refuge and harvesting of the predator species. A mathematical analysis shows that prey refuge plays a crucial role for the survival of the species and that the harvesting effort on the predator may be used as a control to prevent the cyclic behaviour of the system. The optimal harvest policy is studied, and the solution is derived in the equilibrium case by using Pontryagin's maximal principle. Some numerical simulations are taken to illustrate the established results. (Contains 9 figures.)
Descriptors: Simulation, Mathematical Formulas, Mathematical Models, Ethology, Ecology, Defense Mechanisms, Program Descriptions, Topology, Wildlife
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A