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Stability and Bifurcation of a Prey-Predator-Scavenger Model in the Existence of Toxicant and Harvesting

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  • Huda Abdul Satar
  • Raid Kamel Naji

Abstract

In this paper a prey-predator-scavenger food web model is proposed and studied. It is assumed that the model considered the effect of harvesting and all the species are infected by some toxicants released by some other species. The stability analysis of all possible equilibrium points is discussed. The persistence conditions of the system are established. The occurrence of local bifurcation around the equilibrium points is investigated. Numerical simulation is used and the obtained solution curves are drawn to illustrate the results of the model. Finally, the nonexistence of periodic dynamics is discussed analytically as well as numerically.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jijmms:1573516
    DOI: 10.1155/2019/1573516
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Zainab Saeed Abbas & Raid Kamel Naji, 2022. "Modeling and Analysis of the Influence of Fear on a Harvested Food Web System," Mathematics, MDPI, vol. 10(18), pages 1-37, September.

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