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Ecological dynamics of age selective harvesting of fish population: Maximum sustainable yield and its control strategy

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  • Jana, Debaldev
  • Agrawal, Rashmi
  • Upadhyay, Ranjit Kumar
  • Samanta, G.P.

Abstract

Life history of ecological resource management and empirical studies are increasingly documenting the impact of selective harvesting process on the evolutionary stable strategy of both aquatic and terrestrial ecosystems. In the present study, the interaction between population and their independent and combined selective harvesting are framed by a multi-delayed prey-predator system. Depending upon the age selection strategy, system experiences stable coexistence to oscillatory mode and vice versa via Hopf-bifurcation. Economic evolution of the system which is mainly featured by maximum sustainable yield (MSY), bionomic equilibrium and optimal harvesting vary largely with the commensurate age selections of both population because equilibrium population abundance becomes age-selection dependent. Our study indicates that balance between harvesting delays and harvesting intensities should be maintained for better ecosystem management. Numerical examples support the analytical findings.

Suggested Citation

  • Jana, Debaldev & Agrawal, Rashmi & Upadhyay, Ranjit Kumar & Samanta, G.P., 2016. "Ecological dynamics of age selective harvesting of fish population: Maximum sustainable yield and its control strategy," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 111-122.
    • Handle: RePEc:eee:chsofr:v:93:y:2016:i:c:p:111-122
    DOI: 10.1016/j.chaos.2016.09.021
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    References listed on IDEAS

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    1. Jana, Debaldev & Pathak, Rachana & Agarwal, Manju, 2016. "On the stability and Hopf bifurcation of a prey-generalist predator system with independent age-selective harvesting," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 252-273.
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    4. Henrik Svedäng & Sara Hornborg, 2014. "Selective fishing induces density-dependent growth," Nature Communications, Nature, vol. 5(1), pages 1-6, September.
    5. Florian Diekert & Dag Hjermann & Eric Nævdal & Nils Stenseth, 2010. "Spare the Young Fish: Optimal Harvesting Policies for North-East Arctic Cod," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 47(4), pages 455-475, December.
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    Cited by:

    1. Das, Parthasakha & Das, Samhita & Upadhyay, Ranjit Kumar & Das, Pritha, 2020. "Optimal treatment strategies for delayed cancer-immune system with multiple therapeutic approach," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    2. Datta, Jyotiska & Jana, Debaldev & Upadhyay, Ranjit Kumar, 2019. "Bifurcation and bio-economic analysis of a prey-generalist predator model with Holling type IV functional response and nonlinear age-selective prey harvesting," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 229-235.
    3. Pal, D. & Samanta, G.P. & Mahapatra, G.S., 2017. "Selective harvesting of two competing fish species in the presence of toxicity with time delay," Applied Mathematics and Computation, Elsevier, vol. 313(C), pages 74-93.
    4. N. S. N. V. K. Vyshnavi Devi & Debaldev Jana & M. Lakshmanan, 2020. "Interplay Between Reproduction and Age Selective Harvesting Delays of a Single Population Non-Autonomous System," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(4), pages 1857-1891, December.

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