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Global dynamics of an additional food provided predator–prey system with constant harvest in predators

Author

Listed:
  • Sen, Moitri
  • Srinivasu, P.D.N.
  • Banerjee, Malay

Abstract

The article aims to study the global dynamics associated with a predator prey system when the predator is provided with additional food and harvested at a constant rate. This study supplements the existing literature on the dynamics of additional food provided predator prey system by focusing on the consequences of harvesting the predators. It presents a comprehensive view on the entire range of bifurcations that take place in the considered system and highlights the dependence of the system dynamics on its vital parameters. This study provides important tools for investigations pertaining to controllability of the system which are essential from the real world applications perspective.

Suggested Citation

  • Sen, Moitri & Srinivasu, P.D.N. & Banerjee, Malay, 2015. "Global dynamics of an additional food provided predator–prey system with constant harvest in predators," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 193-211.
  • Handle: RePEc:eee:apmaco:v:250:y:2015:i:c:p:193-211
    DOI: 10.1016/j.amc.2014.10.085
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    Cited by:

    1. Mondal, Sudeshna & Samanta, G.P., 2019. "Dynamics of an additional food provided predator–prey system with prey refuge dependent on both species and constant harvest in predator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    2. Saikia, Munmi & Maiti, Atasi Patra & Devi, Anuradha, 2020. "Effect of habitat complexity on rhinoceros and tiger population model with additional food and poaching in Kaziranga National Park, Assam," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 177(C), pages 169-191.
    3. Huda Abdul Satar & Raid Kamel Naji, 2019. "Stability and Bifurcation of a Prey-Predator-Scavenger Model in the Existence of Toxicant and Harvesting," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2019, pages 1-17, March.

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