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A remark on “Study of a Leslie-Gower predator-prey model with prey defense and mutual interference of predators” [Chaos, Solitons & Fractals 120 (2019) 1–16]

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  • Parshad, Rana D.
  • Takyi, Eric M.
  • Kouachi, Said

Abstract

In Mishra et al. (2019, [12]) a classical three-species modified Leslie-Gower system is considered, with mutual interference and prey-defense. The existence of a globally attracting invariant set is established for the system, under certain parametric restrictions. We show that the claimed invariant set is not globally attracting, and that finite time blow-up can occur for sufficiently large or small initial data. We further show that the invariant set cannot contain any interior equilibrium.

Suggested Citation

  • Parshad, Rana D. & Takyi, Eric M. & Kouachi, Said, 2019. "A remark on “Study of a Leslie-Gower predator-prey model with prey defense and mutual interference of predators” [Chaos, Solitons & Fractals 120 (2019) 1–16]," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 201-205.
    • Handle: RePEc:eee:chsofr:v:123:y:2019:i:c:p:201-205
    DOI: 10.1016/j.chaos.2019.04.011
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    References listed on IDEAS

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    1. Gakkhar, Sunita & Singh, Brahampal, 2005. "Complex dynamic behavior in a food web consisting of two preys and a predator," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 789-801.
    2. Mishra, P. & Raw, S.N. & Tiwari, B., 2019. "Study of a Leslie–Gower predator-prey model with prey defense and mutual interference of predators," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 1-16.
    3. Parshad, Rana D. & Kumari, Nitu & Kouachi, Said, 2015. "A remark on “Study of a Leslie–Gower-type tritrophic population model” [Chaos, Solitons and Fractals 14 (2002) 1275–1293]," Chaos, Solitons & Fractals, Elsevier, vol. 71(C), pages 22-28.
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