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Study of two species prey-predator model in imprecise environment with MSY policy under different harvesting scenario

Author

Listed:
  • Animesh Mahata

    (Mahadevnagar High School)

  • Sankar Prasad Mondal

    (Maulana Abul Kalam Azad University of Technology)

  • Banamali Roy

    (Bangabasi Evening College)

  • Shariful Alam

    (Indian Institute of Engineering Science and Technology)

Abstract

Parameters involve in various ecological models are mostly uncertain due to ever changing characteristic of nature. This article, deals with a basic predator–prey model where ecological parameters are considered as parametric-functional nature of interval numbers. The dynamical behaviors of the model system have been discussed in the imprecise environment. Moreover, the concept of maximum sustainable yield (MSY) has been incorporated in the model system under imprecise environment, and MSY policies under different harvesting scenarios have been discussed. Finally all the analytical findings are testified through extensive numerical simulations and the article ended with a conclusion.

Suggested Citation

  • Animesh Mahata & Sankar Prasad Mondal & Banamali Roy & Shariful Alam, 2021. "Study of two species prey-predator model in imprecise environment with MSY policy under different harvesting scenario," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(10), pages 14908-14932, October.
    • Handle: RePEc:spr:endesu:v:23:y:2021:i:10:d:10.1007_s10668-021-01279-2
    DOI: 10.1007/s10668-021-01279-2
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    References listed on IDEAS

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    1. Susmita Paul & Sankar Prasad Mondal & Paritosh Bhattacharya & Kripasindhu Chaudhuri, 2016. "Some Comparison of Solutions by Different Numerical Techniques on Mathematical Biology Problem," International Journal of Differential Equations, Hindawi, vol. 2016, pages 1-14, December.
    2. Legović, Tarzan, 2008. "Impact of demersal fishery and evidence of the Volterra principle to the extreme in the Adriatic Sea," Ecological Modelling, Elsevier, vol. 212(1), pages 68-73.
    3. Legović, Tarzan & Geček, Sunčana, 2012. "Impact of maximum sustainable yield on mutualistic communities," Ecological Modelling, Elsevier, vol. 230(C), pages 63-72.
    4. Pal, S. & Chatterjee, Samrat & Das, Krishna pada & Chattopadhyay, J., 2009. "Role of competition in phytoplankton population for the occurrence and control of plankton bloom in the presence of environmental fluctuations," Ecological Modelling, Elsevier, vol. 220(2), pages 96-110.
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