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]

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

Chaos, Solitons & Fractals, 2019, vol. 123, issue C, 201-205

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.

Keywords: Three-species food chain; Invariant set; Finite time blow-up (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:123:y:2019:i:c:p:201-205

DOI: 10.1016/j.chaos.2019.04.011

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