Journal of applied mathematics & informatics
- Volume 19 Issue 1_2
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- Pages.311-326
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- 2005
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
CONSERVATION OF A PREY-PREDATOR FISHERY WITH PREDATOR SELF LIMITATION BASED ON CONTINUOUS FISHING EFFORT
- KAR T. K. (Department of Mathematics, Bengal Engineering and Science University) ;
- PAHARI U. K. (Bariaha High School) ;
- CHAUDHURI K. S. (Department of Mathematics, Jadavpur University)
- Published : 2005.09.01
Abstract
The paper deals with the problem of selective harvesting in a prey-predator model with predator self limitation. Criteria for local stability and global stability for both the exploited and unexploited system are derived. The effort has been considered as a dynamic variable and taxation as a control instrument to protect the fish populations from over exploitation. Finally, the optimal taxation policy is discussed with the help of control theory.
Keywords
- Prey-predator;
- conservation;
- global stability;
- selective harvesting;
- dynamic variable;
- optimal taxation