IDEAS home Printed from https://ideas.repec.org/a/spr/endesu/v24y2022i2d10.1007_s10668-021-01532-8.html
   My bibliography  Save this article

Impact of fear effect exerted by Pterois volitans on a coral reef ecosystem with parrotfish refuge and harvesting of both fishes

Author

Listed:
  • Banamali Maji

    (Nayagram Pandit Raghunath Murmu Government College)

  • Samares Pal

    (University of Kalyani)

Abstract

The number of coral reefs around the world is slowly declining due to environmental and anthropogenic reason, and Pterois volitans also put extra stress on coral reefs by decreasing the number of herbivorous fishes (parrotfish). Moreover, uncontrolled growth of algae interrupts the growth of corals since corals and algae grow together on algal turf. Here Parrotfish also play an important role in the enhancement of corals by grazing. In this paper, parrotfish and P-volitans are taken as prey and predator, respectively, and the fear effect on the dynamics of the system is investigated. The effect of prey refuge is also shown. Constant harvesting policy for both fishes is included. Stable coexistence region for two parameter spaces: Hopf bifurcation and saddle-node bifurcation, is shown and formulated for the system. Numerical simulations are illustrated to verify the authenticity of the analytical calculations.

Suggested Citation

  • Banamali Maji & Samares Pal, 2022. "Impact of fear effect exerted by Pterois volitans on a coral reef ecosystem with parrotfish refuge and harvesting of both fishes," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 24(2), pages 2267-2287, February.
    • Handle: RePEc:spr:endesu:v:24:y:2022:i:2:d:10.1007_s10668-021-01532-8
    DOI: 10.1007/s10668-021-01532-8
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10668-021-01532-8
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10668-021-01532-8?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Fangyuan Hua & Kathryn E. Sieving & Robert J. Fletcher & Chloe A. Wright, 2014. "Increased perception of predation risk to adults and offspring alters avian reproductive strategy and performance," Behavioral Ecology, International Society for Behavioral Ecology, vol. 25(3), pages 509-519.
    2. Marten Scheffer & Steve Carpenter & Jonathan A. Foley & Carl Folke & Brian Walker, 2001. "Catastrophic shifts in ecosystems," Nature, Nature, vol. 413(6856), pages 591-596, October.
    3. John F Bruno & Elizabeth R Selig, 2007. "Regional Decline of Coral Cover in the Indo-Pacific: Timing, Extent, and Subregional Comparisons," PLOS ONE, Public Library of Science, vol. 2(8), pages 1-8, August.
    4. Justin P. Suraci & Michael Clinchy & Lawrence M. Dill & Devin Roberts & Liana Y. Zanette, 2016. "Fear of large carnivores causes a trophic cascade," Nature Communications, Nature, vol. 7(1), pages 1-7, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tiwari, Vandana & Tripathi, Jai Prakash & Mishra, Swati & Upadhyay, Ranjit Kumar, 2020. "Modeling the fear effect and stability of non-equilibrium patterns in mutually interfering predator–prey systems," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    2. Kumbhakar, Ruma & Hossain, Mainul & Pal, Nikhil, 2024. "Dynamics of a two-prey one-predator model with fear and group defense: A study in parameter planes," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    3. Sahu, S.R. & Raw, S.N., 2023. "Appearance of chaos and bi-stability in a fear induced delayed predator–prey system: A mathematical modeling study," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    4. Hossain, Mainul & Pal, Nikhil & Samanta, Sudip, 2020. "Impact of fear on an eco-epidemiological model," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    5. Rashi, & Singh, Harendra Pal & Singh, Suruchi, 2024. "Effect of fear with saturated fear cost and harvesting on aquatic food chain model (plankton–fish model) in the presence of nanoparticles," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 226(C), pages 283-305.
    6. Panday, Pijush & Samanta, Sudip & Pal, Nikhil & Chattopadhyay, Joydev, 2020. "Delay induced multiple stability switch and chaos in a predator–prey model with fear effect," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 172(C), pages 134-158.
    7. Ian Hodge & William M. Adams, 2016. "Short-Term Projects versus Adaptive Governance: Conflicting Demands in the Management of Ecological Restoration," Land, MDPI, vol. 5(4), pages 1-17, November.
    8. Jenerette, G. Darrel & Lal, Rattan, 2007. "Modeled carbon sequestration variation in a linked erosion–deposition system," Ecological Modelling, Elsevier, vol. 200(1), pages 207-216.
    9. Julie Vercelloni & M Julian Caley & Mohsen Kayal & Samantha Low-Choy & Kerrie Mengersen, 2014. "Understanding Uncertainties in Non-Linear Population Trajectories: A Bayesian Semi-Parametric Hierarchical Approach to Large-Scale Surveys of Coral Cover," PLOS ONE, Public Library of Science, vol. 9(11), pages 1-9, November.
    10. Rustici, M. & Ceccherelli, G. & Piazzi, L., 2017. "Predator exploitation and sea urchin bistability: Consequence on benthic alternative states," Ecological Modelling, Elsevier, vol. 344(C), pages 1-5.
    11. Zeeuw, Aart de, 2024. "Climate change, tipping points, and economics," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 109(C).
    12. King, Elizabeth G. & Franz, Trenton E., 2016. "Combining ecohydrologic and transition probability-based modeling to simulate vegetation dynamics in a semi-arid rangeland," Ecological Modelling, Elsevier, vol. 329(C), pages 41-63.
    13. Rodrigues, João & Domingos, Tiago & Conceição, Pedro & Belbute, José, 2005. "Constraints on dematerialisation and allocation of natural capital along a sustainable growth path," Ecological Economics, Elsevier, vol. 54(4), pages 382-396, September.
    14. Xu Luo & Hong S. He & Yu Liang & Jacob S. Fraser & Jialin Li, 2018. "Mitigating the Effects of Climate Change through Harvesting and Planting in Boreal Forests of Northeastern China," Sustainability, MDPI, vol. 10(10), pages 1-20, October.
    15. Didier L. Baho & Ülkü Nihan Tavşanoğlu & Michal Šorf & Kostantinos Stefanidis & Stina Drakare & Ulrike Scharfenberger & Helen Agasild & Meryem Beklioğlu & Josef Hejzlar & Rita Adrian & Eva Papastergia, 2015. "Macroecological Patterns of Resilience Inferred from a Multinational, Synchronized Experiment," Sustainability, MDPI, vol. 7(2), pages 1-19, January.
    16. Aurélie Méjean & Antonin Pottier & Marc Fleurbaey & Stéphane Zuber, 2020. "Catastrophic climate change, population ethics and intergenerational equity," Climatic Change, Springer, vol. 163(2), pages 873-890, November.
    17. Carlos Sanz-Lazaro, 2019. "A Framework to Advance the Understanding of the Ecological Effects of Extreme Climate Events," Sustainability, MDPI, vol. 11(21), pages 1-18, October.
    18. Franklin, Sergio L. & Pindyck, Robert S., 2018. "Tropical Forests, Tipping Points, and the Social Cost of Deforestation," Ecological Economics, Elsevier, vol. 153(C), pages 161-171.
    19. I.B., Tagne nkounga & F.M., Moukam kakmeni & R., Yamapi, 2022. "Birhythmic oscillations and global stability analysis of a conductance-based neuronal model under ion channel fluctuations," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    20. Andrea Taramelli & Emiliana Valentini & Laura Piedelobo & Margherita Righini & Sergio Cappucci, 2021. "Assessment of State Transition Dynamics of Coastal Wetlands in Northern Venice Lagoon, Italy," Sustainability, MDPI, vol. 13(8), pages 1-24, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:endesu:v:24:y:2022:i:2:d:10.1007_s10668-021-01532-8. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.