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Journal of Biological Physics

, Volume 39, Issue 3, pp 453–467 | Cite as

Maximum sustainable yield and species extinction in a prey–predator system: some new results

  • Bapan Ghosh
  • T. K. Kar
Original Paper

Abstract

Though the maximum sustainable yield (MSY) approach has been legally adopted for the management of world fisheries, it does not provide any guarantee against from species extinction in multispecies communities. In the present article, we describe the appropriateness of the MSY policy in a Holling–Tanner prey–predator system with different types of functional responses. It is observed that for both type I and type II functional responses, harvesting of either prey or predator species at the MSY level is a sustainable fishing policy. In the case of combined harvesting, both the species coexist at the maximum sustainable total yield (MSTY) level if the biotic potential of the prey species is greater than a threshold value. Further, increase of the biotic potential beyond the threshold value affects the persistence of the system.

Keywords

Harvesting Combined fishing effort Maximum sustainable total yield (MSTY) Holling-type response function Volterra’s first principle 

Notes

Acknowledgements

The research work of Bapan Ghosh is financed by the Council of Scientific and Industrial Research (CSIR), India (File No. 08/003(0077)/2011-EMR-I, dated 23rd March, 2011) and the research work of Dr. T.K. Kar is supported by the University Grants Commission (UGC), India (F. No. 40-239/2011(SR), dated 29th June, 2011). The authors are sincerely grateful to the anonymous referees for their valuable comments and suggestions for the improvement of the manuscript.

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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Department of MathematicsBengal Engineering and Science UniversityHowrahIndia

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