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A Michaelis–Menten type food chain model with strong Allee effect on the prey

Author

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  • Manna, Debasis
  • Maiti, Alakes
  • Samanta, G.P.

Abstract

Dynamical behaviours of a tritrophic food chain model with strong Allee effect in the prey are studied in this paper. Positivity and boundedness of the system are discussed. Some global results on extinction of the species are derived. Stability analysis of the equilibrium points is presented. The effect of discrete time-delay is studied, where the delay may be regarded as the gestation period of the superpredator. Numerical simulations are carried out to validate our analytical findings. Implications of our analytical and numerical findings are discussed critically.

Suggested Citation

  • Manna, Debasis & Maiti, Alakes & Samanta, G.P., 2017. "A Michaelis–Menten type food chain model with strong Allee effect on the prey," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 390-409.
    • Handle: RePEc:eee:apmaco:v:311:y:2017:i:c:p:390-409
    DOI: 10.1016/j.amc.2017.05.040
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    Cited by:

    1. Jianming Zhang & Lijun Zhang & Yuzhen Bai, 2019. "Stability and Bifurcation Analysis on a Predator–Prey System with the Weak Allee Effect," Mathematics, MDPI, vol. 7(5), pages 1-15, May.

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