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On a Predator–Prey System with Holling Functional Response: xp/(a + xp)

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Abstract

In this paper, an important modification was made to the previously studied predator–prey system with a Holling functional response: \( \frac{{x^{p} }}{{a + x^{p} }} \) for any real p. A new sufficient condition for non-existence was presented. This study showed, through numerical simulations, that for \( p < 1 \) the positive equilibrium point loses its global stability and a heteroclinic bifurcation occurred.

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Authors and Affiliations

  1. Department of Mathematics, University of Sétif1, El Bez, 19000, Sétif, Algeria

    Nabil Beroual & Ahmed Bendjeddou

Authors
  1. Nabil Beroual
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  2. Ahmed Bendjeddou
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Correspondence to Nabil Beroual.

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Beroual, N., Bendjeddou, A. On a Predator–Prey System with Holling Functional Response: xp/(a + xp). Natl. Acad. Sci. Lett. 39, 43–46 (2016). https://doi.org/10.1007/s40009-015-0400-6

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  • DOI: https://doi.org/10.1007/s40009-015-0400-6

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